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[o]" accesskey="o" class=""><span>로그인</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="더 많은 옵션" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="개인 도구" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">개인 도구</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="사용자 메뉴" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_ko.wikipedia.org&uselang=ko"><span>기부</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%ED%8A%B9%EC%88%98:%EA%B3%84%EC%A0%95%EB%A7%8C%EB%93%A4%EA%B8%B0&returnto=%EC%88%98%ED%95%99" title="계정을 만들고 로그인하는 것이 좋습니다. 하지만 필수는 아닙니다"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>계정 만들기</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%ED%8A%B9%EC%88%98:%EB%A1%9C%EA%B7%B8%EC%9D%B8&returnto=%EC%88%98%ED%95%99" title="위키백과에 로그인하면 여러가지 편리한 기능을 사용할 수 있습니다. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>로그인</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> 로그아웃한 편집자를 위한 문서 <a href="/wiki/%EB%8F%84%EC%9B%80%EB%A7%90:%EC%86%8C%EA%B0%9C" aria-label="편집에 관해 더 알아보기"><span>더 알아보기</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EA%B8%B0%EC%97%AC" title="이 IP 주소의 편집 목록 [y]" accesskey="y"><span>기여</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EC%82%AC%EC%9A%A9%EC%9E%90%ED%86%A0%EB%A1%A0" title="현재 사용하는 IP 주소에 대한 토론 문서 [n]" accesskey="n"><span>토론</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="사이트"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="목차" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">목차</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">숨기기</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">처음 위치</div> </a> </li> <li id="toc-역사" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#역사"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>역사</span> </div> </a> <ul id="toc-역사-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-세부_분야" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#세부_분야"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>세부 분야</span> </div> </a> <button aria-controls="toc-세부_분야-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>세부 분야 하위섹션 토글하기</span> </button> <ul id="toc-세부_분야-sublist" class="vector-toc-list"> <li id="toc-산술" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#산술"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>산술</span> </div> </a> <ul id="toc-산술-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-대수학" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#대수학"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>대수학</span> </div> </a> <ul id="toc-대수학-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-기하학" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#기하학"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.3</span> <span>기하학</span> </div> </a> <ul id="toc-기하학-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-해석학" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#해석학"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.4</span> <span>해석학</span> </div> </a> <ul id="toc-해석학-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-수학기초론_관련_분야" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#수학기초론_관련_분야"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.5</span> <span>수학기초론 관련 분야</span> </div> </a> <ul id="toc-수학기초론_관련_분야-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-이산수학" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#이산수학"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.6</span> <span>이산수학</span> </div> </a> <ul id="toc-이산수학-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-응용수학" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#응용수학"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.7</span> <span>응용수학</span> </div> </a> <ul id="toc-응용수학-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-영향" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#영향"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>영향</span> </div> </a> <ul id="toc-영향-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-같이_보기" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#같이_보기"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>같이 보기</span> </div> </a> <ul id="toc-같이_보기-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-각주" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#각주"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>각주</span> </div> </a> <ul id="toc-각주-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-외부_링크" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#외부_링크"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>외부 링크</span> </div> </a> <ul id="toc-외부_링크-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="목차" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="목차 토글" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">목차 토글</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">수학</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="다른 언어로 문서를 방문합니다. 254개 언어로 읽을 수 있습니다" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-254" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">254개 언어</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Wiskunde" title="Wiskunde – 아프리칸스어" lang="af" hreflang="af" data-title="Wiskunde" data-language-autonym="Afrikaans" data-language-local-name="아프리칸스어" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Mathematik" title="Mathematik – 독일어(스위스)" lang="gsw" hreflang="gsw" data-title="Mathematik" data-language-autonym="Alemannisch" data-language-local-name="독일어(스위스)" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%89%B5%E1%88%9D%E1%88%85%E1%88%AD%E1%89%B0_%E1%88%82%E1%88%B3%E1%89%A5" title="ትምህርተ ሂሳብ – 암하라어" lang="am" hreflang="am" data-title="ትምህርተ ሂሳብ" data-language-autonym="አማርኛ" data-language-local-name="암하라어" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Matematicas" title="Matematicas – 아라곤어" lang="an" hreflang="an" data-title="Matematicas" data-language-autonym="Aragonés" data-language-local-name="아라곤어" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ang mw-list-item"><a href="https://ang.wikipedia.org/wiki/R%C4%ABmcr%C3%A6ft" title="Rīmcræft – 고대 영어" lang="ang" hreflang="ang" data-title="Rīmcræft" data-language-autonym="Ænglisc" data-language-local-name="고대 영어" class="interlanguage-link-target"><span>Ænglisc</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – 앙가어" lang="anp" hreflang="anp" data-title="गणित" data-language-autonym="अंगिका" data-language-local-name="앙가어" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar badge-Q17437798 badge-goodarticle mw-list-item" title="좋은 글"><a href="https://ar.wikipedia.org/wiki/%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA" title="رياضيات – 아랍어" lang="ar" hreflang="ar" data-title="رياضيات" data-language-autonym="العربية" data-language-local-name="아랍어" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ary mw-list-item"><a href="https://ary.wikipedia.org/wiki/%D9%84%D9%85%D8%A7%D8%B7" title="لماط – 모로코 아랍어" lang="ary" hreflang="ary" data-title="لماط" data-language-autonym="الدارجة" data-language-local-name="모로코 아랍어" class="interlanguage-link-target"><span>الدارجة</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA" title="رياضيات – 이집트 아랍어" lang="arz" hreflang="arz" data-title="رياضيات" data-language-autonym="مصرى" data-language-local-name="이집트 아랍어" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="গণিত – 아삼어" lang="as" hreflang="as" data-title="গণিত" data-language-autonym="অসমীয়া" data-language-local-name="아삼어" class="interlanguage-link-target"><span>অসমীয়া</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Matem%C3%A1tiques" title="Matemátiques – 아스투리아어" lang="ast" hreflang="ast" data-title="Matemátiques" data-language-autonym="Asturianu" data-language-local-name="아스투리아어" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-avk mw-list-item"><a href="https://avk.wikipedia.org/wiki/Solokseropa" title="Solokseropa – Kotava" lang="avk" hreflang="avk" data-title="Solokseropa" data-language-autonym="Kotava" data-language-local-name="Kotava" class="interlanguage-link-target"><span>Kotava</span></a></li><li class="interlanguage-link interwiki-awa mw-list-item"><a href="https://awa.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – 아와히어" lang="awa" hreflang="awa" data-title="गणित" data-language-autonym="अवधी" data-language-local-name="아와히어" class="interlanguage-link-target"><span>अवधी</span></a></li><li class="interlanguage-link interwiki-ay mw-list-item"><a href="https://ay.wikipedia.org/wiki/Jakhu" title="Jakhu – 아이마라어" lang="ay" hreflang="ay" data-title="Jakhu" data-language-autonym="Aymar aru" data-language-local-name="아이마라어" class="interlanguage-link-target"><span>Aymar aru</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Riyaziyyat" title="Riyaziyyat – 아제르바이잔어" lang="az" hreflang="az" data-title="Riyaziyyat" data-language-autonym="Azərbaycanca" data-language-local-name="아제르바이잔어" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA" title="ریاضیات – South Azerbaijani" lang="azb" hreflang="azb" data-title="ریاضیات" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 바슈키르어" lang="ba" hreflang="ba" data-title="Математика" data-language-autonym="Башҡортса" data-language-local-name="바슈키르어" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bar mw-list-item"><a href="https://bar.wikipedia.org/wiki/Mathematik" title="Mathematik – Bavarian" lang="bar" hreflang="bar" data-title="Mathematik" data-language-autonym="Boarisch" data-language-local-name="Bavarian" class="interlanguage-link-target"><span>Boarisch</span></a></li><li class="interlanguage-link interwiki-bat-smg mw-list-item"><a href="https://bat-smg.wikipedia.org/wiki/Matemat%C4%97ka" title="Matematėka – Samogitian" lang="sgs" hreflang="sgs" data-title="Matematėka" data-language-autonym="Žemaitėška" data-language-local-name="Samogitian" class="interlanguage-link-target"><span>Žemaitėška</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Matematika" title="Matematika – Central Bikol" lang="bcl" hreflang="bcl" data-title="Matematika" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D0%BA%D0%B0" title="Матэматыка – 벨라루스어" lang="be" hreflang="be" data-title="Матэматыка" data-language-autonym="Беларуская" data-language-local-name="벨라루스어" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D1%8D%D0%BC%D0%B0%D1%82%D1%8B%D0%BA%D0%B0" title="Матэматыка – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Матэматыка" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 불가리아어" lang="bg" hreflang="bg" data-title="Математика" data-language-autonym="Български" data-language-local-name="불가리아어" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bh mw-list-item"><a href="https://bh.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – Bhojpuri" lang="bh" hreflang="bh" data-title="गणित" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bi mw-list-item"><a href="https://bi.wikipedia.org/wiki/Matematikis" title="Matematikis – 비슬라마어" lang="bi" hreflang="bi" data-title="Matematikis" data-language-autonym="Bislama" data-language-local-name="비슬라마어" class="interlanguage-link-target"><span>Bislama</span></a></li><li class="interlanguage-link interwiki-bjn mw-list-item"><a href="https://bjn.wikipedia.org/wiki/Matamatika" title="Matamatika – Banjar" lang="bjn" hreflang="bjn" data-title="Matamatika" data-language-autonym="Banjar" data-language-local-name="Banjar" class="interlanguage-link-target"><span>Banjar</span></a></li><li class="interlanguage-link interwiki-blk mw-list-item"><a href="https://blk.wikipedia.org/wiki/%E1%80%9E%E1%80%84%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="သင်္ချာ – Pa'O" lang="blk" hreflang="blk" data-title="သင်္ချာ" data-language-autonym="ပအိုဝ်ႏဘာႏသာႏ" data-language-local-name="Pa'O" class="interlanguage-link-target"><span>ပအိုဝ်ႏဘာႏသာႏ</span></a></li><li class="interlanguage-link interwiki-bm mw-list-item"><a href="https://bm.wikipedia.org/wiki/Matematiki" title="Matematiki – 밤바라어" lang="bm" hreflang="bm" data-title="Matematiki" data-language-autonym="Bamanankan" data-language-local-name="밤바라어" class="interlanguage-link-target"><span>Bamanankan</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="গণিত – 벵골어" lang="bn" hreflang="bn" data-title="গণিত" data-language-autonym="বাংলা" data-language-local-name="벵골어" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bo mw-list-item"><a href="https://bo.wikipedia.org/wiki/%E0%BD%A2%E0%BE%A9%E0%BD%B2%E0%BD%A6%E0%BC%8B%E0%BD%A2%E0%BD%B2%E0%BD%82" title="རྩིས་རིག – 티베트어" lang="bo" hreflang="bo" data-title="རྩིས་རིག" data-language-autonym="བོད་ཡིག" data-language-local-name="티베트어" class="interlanguage-link-target"><span>བོད་ཡིག</span></a></li><li class="interlanguage-link interwiki-bpy mw-list-item"><a href="https://bpy.wikipedia.org/wiki/%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4" title="গণিত – Bishnupriya" lang="bpy" hreflang="bpy" data-title="গণিত" data-language-autonym="বিষ্ণুপ্রিয়া মণিপুরী" data-language-local-name="Bishnupriya" class="interlanguage-link-target"><span>বিষ্ণুপ্রিয়া মণিপুরী</span></a></li><li class="interlanguage-link interwiki-br mw-list-item"><a href="https://br.wikipedia.org/wiki/Matematik" title="Matematik – 브르타뉴어" lang="br" hreflang="br" data-title="Matematik" data-language-autonym="Brezhoneg" data-language-local-name="브르타뉴어" class="interlanguage-link-target"><span>Brezhoneg</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Matematika" title="Matematika – 보스니아어" lang="bs" hreflang="bs" data-title="Matematika" data-language-autonym="Bosanski" data-language-local-name="보스니아어" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-bug mw-list-item"><a href="https://bug.wikipedia.org/wiki/%E1%A8%86%E1%A8%88%E1%A8%9B%E1%A8%86%E1%A8%88%E1%A8%97%E1%A8%80" title="ᨆᨈᨛᨆᨈᨗᨀ – 부기어" lang="bug" hreflang="bug" data-title="ᨆᨈᨛᨆᨈᨗᨀ" data-language-autonym="Basa Ugi" data-language-local-name="부기어" class="interlanguage-link-target"><span>Basa Ugi</span></a></li><li class="interlanguage-link interwiki-bxr mw-list-item"><a href="https://bxr.wikipedia.org/wiki/%D0%A2%D0%BE%D0%BE%D0%B3%D0%BE%D0%B9_%D1%83%D1%85%D0%B0%D0%B0%D0%BD" title="Тоогой ухаан – Russia Buriat" lang="bxr" hreflang="bxr" data-title="Тоогой ухаан" data-language-autonym="Буряад" data-language-local-name="Russia Buriat" class="interlanguage-link-target"><span>Буряад</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Matem%C3%A0tiques" title="Matemàtiques – 카탈로니아어" lang="ca" hreflang="ca" data-title="Matemàtiques" data-language-autonym="Català" data-language-local-name="카탈로니아어" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/Matematica" title="Matematica – Chavacano" lang="cbk" hreflang="cbk" data-title="Matematica" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-cdo mw-list-item"><a href="https://cdo.wikipedia.org/wiki/S%C3%B3-h%C5%8Fk" title="Só-hŏk – Mindong" lang="cdo" hreflang="cdo" data-title="Só-hŏk" data-language-autonym="閩東語 / Mìng-dĕ̤ng-ngṳ̄" data-language-local-name="Mindong" class="interlanguage-link-target"><span>閩東語 / Mìng-dĕ̤ng-ngṳ̄</span></a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 체첸어" lang="ce" hreflang="ce" data-title="Математика" data-language-autonym="Нохчийн" data-language-local-name="체첸어" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-ceb mw-list-item"><a href="https://ceb.wikipedia.org/wiki/Isip" title="Isip – 세부아노어" lang="ceb" hreflang="ceb" data-title="Isip" data-language-autonym="Cebuano" data-language-local-name="세부아노어" class="interlanguage-link-target"><span>Cebuano</span></a></li><li class="interlanguage-link interwiki-ch mw-list-item"><a href="https://ch.wikipedia.org/wiki/Matematika" title="Matematika – 차모로어" lang="ch" hreflang="ch" data-title="Matematika" data-language-autonym="Chamoru" data-language-local-name="차모로어" class="interlanguage-link-target"><span>Chamoru</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9" title="ماتماتیک – 소라니 쿠르드어" lang="ckb" hreflang="ckb" data-title="ماتماتیک" data-language-autonym="کوردی" data-language-local-name="소라니 쿠르드어" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Matematica" title="Matematica – 코르시카어" lang="co" hreflang="co" data-title="Matematica" data-language-autonym="Corsu" data-language-local-name="코르시카어" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-crh mw-list-item"><a href="https://crh.wikipedia.org/wiki/Riyaziyat" title="Riyaziyat – 크리민 터키어; 크리민 타타르어" lang="crh" hreflang="crh" data-title="Riyaziyat" data-language-autonym="Qırımtatarca" data-language-local-name="크리민 터키어; 크리민 타타르어" class="interlanguage-link-target"><span>Qırımtatarca</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Matematika" title="Matematika – 체코어" lang="cs" hreflang="cs" data-title="Matematika" data-language-autonym="Čeština" data-language-local-name="체코어" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-csb mw-list-item"><a href="https://csb.wikipedia.org/wiki/Matematika" title="Matematika – 카슈비아어" lang="csb" hreflang="csb" data-title="Matematika" data-language-autonym="Kaszëbsczi" data-language-local-name="카슈비아어" class="interlanguage-link-target"><span>Kaszëbsczi</span></a></li><li class="interlanguage-link interwiki-cu mw-list-item"><a href="https://cu.wikipedia.org/wiki/%D0%9C%D0%B0%D1%B3%D0%B8%D0%BC%D0%B0%D1%82%D1%97%D0%BA%D0%B0" title="Маѳиматїка – 교회 슬라브어" lang="cu" hreflang="cu" data-title="Маѳиматїка" data-language-autonym="Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ" data-language-local-name="교회 슬라브어" class="interlanguage-link-target"><span>Словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 추바시어" lang="cv" hreflang="cv" data-title="Математика" data-language-autonym="Чӑвашла" data-language-local-name="추바시어" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Mathemateg" title="Mathemateg – 웨일스어" lang="cy" hreflang="cy" data-title="Mathemateg" data-language-autonym="Cymraeg" data-language-local-name="웨일스어" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da badge-Q17559452 badge-recommendedarticle mw-list-item" title="추천 항목"><a href="https://da.wikipedia.org/wiki/Matematik" title="Matematik – 덴마크어" lang="da" hreflang="da" data-title="Matematik" data-language-autonym="Dansk" data-language-local-name="덴마크어" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-dag mw-list-item"><a href="https://dag.wikipedia.org/wiki/Laasabu_malibu" title="Laasabu malibu – Dagbani" lang="dag" hreflang="dag" data-title="Laasabu malibu" data-language-autonym="Dagbanli" data-language-local-name="Dagbani" class="interlanguage-link-target"><span>Dagbanli</span></a></li><li class="interlanguage-link interwiki-de badge-Q17437798 badge-goodarticle mw-list-item" title="좋은 글"><a href="https://de.wikipedia.org/wiki/Mathematik" title="Mathematik – 독일어" lang="de" hreflang="de" data-title="Mathematik" data-language-autonym="Deutsch" data-language-local-name="독일어" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-din mw-list-item"><a href="https://din.wikipedia.org/wiki/Aku%C3%ABnk%C3%A4%C5%8B" title="Akuënkäŋ – 딩카어" lang="din" hreflang="din" data-title="Akuënkäŋ" data-language-autonym="Thuɔŋjäŋ" data-language-local-name="딩카어" class="interlanguage-link-target"><span>Thuɔŋjäŋ</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Matematik" title="Matematik – Zazaki" lang="diq" hreflang="diq" data-title="Matematik" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</span></a></li><li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://dsb.wikipedia.org/wiki/Matematika" title="Matematika – 저지 소르비아어" lang="dsb" hreflang="dsb" data-title="Matematika" data-language-autonym="Dolnoserbski" data-language-local-name="저지 소르비아어" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li><li class="interlanguage-link interwiki-dtp mw-list-item"><a href="https://dtp.wikipedia.org/wiki/Matematik" title="Matematik – Central Dusun" lang="dtp" hreflang="dtp" data-title="Matematik" data-language-autonym="Kadazandusun" data-language-local-name="Central Dusun" class="interlanguage-link-target"><span>Kadazandusun</span></a></li><li class="interlanguage-link interwiki-dv mw-list-item"><a href="https://dv.wikipedia.org/wiki/%DE%83%DE%A8%DE%94%DE%A7%DE%9F%DE%A8%DE%87%DE%B0%DE%94%DE%A7%DE%8C%DE%AA" title="ރިޔާޟިއްޔާތު – 디베히어" lang="dv" hreflang="dv" data-title="ރިޔާޟިއްޔާތު" data-language-autonym="ދިވެހިބަސް" data-language-local-name="디베히어" class="interlanguage-link-target"><span>ދިވެހިބަސް</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9C%CE%B1%CE%B8%CE%B7%CE%BC%CE%B1%CF%84%CE%B9%CE%BA%CE%AC" title="Μαθηματικά – 그리스어" lang="el" hreflang="el" data-title="Μαθηματικά" data-language-autonym="Ελληνικά" data-language-local-name="그리스어" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-eml mw-list-item"><a href="https://eml.wikipedia.org/wiki/Matem%C3%A2tica" title="Matemâtica – Emiliano-Romagnolo" lang="egl" hreflang="egl" data-title="Matemâtica" data-language-autonym="Emiliàn e rumagnòl" data-language-local-name="Emiliano-Romagnolo" class="interlanguage-link-target"><span>Emiliàn e rumagnòl</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mathematics" title="Mathematics – 영어" lang="en" hreflang="en" data-title="Mathematics" data-language-autonym="English" data-language-local-name="영어" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Matematiko" title="Matematiko – 에스페란토어" lang="eo" hreflang="eo" data-title="Matematiko" data-language-autonym="Esperanto" data-language-local-name="에스페란토어" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Matem%C3%A1ticas" title="Matemáticas – 스페인어" lang="es" hreflang="es" data-title="Matemáticas" data-language-autonym="Español" data-language-local-name="스페인어" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Matemaatika" title="Matemaatika – 에스토니아어" lang="et" hreflang="et" data-title="Matemaatika" data-language-autonym="Eesti" data-language-local-name="에스토니아어" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Matematika" title="Matematika – 바스크어" lang="eu" hreflang="eu" data-title="Matematika" data-language-autonym="Euskara" data-language-local-name="바스크어" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-ext mw-list-item"><a href="https://ext.wikipedia.org/wiki/Matem%C3%A1ticas" title="Matemáticas – Extremaduran" lang="ext" hreflang="ext" data-title="Matemáticas" data-language-autonym="Estremeñu" data-language-local-name="Extremaduran" class="interlanguage-link-target"><span>Estremeñu</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA" title="ریاضیات – 페르시아어" lang="fa" hreflang="fa" data-title="ریاضیات" data-language-autonym="فارسی" data-language-local-name="페르시아어" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Matematiikka" title="Matematiikka – 핀란드어" lang="fi" hreflang="fi" data-title="Matematiikka" data-language-autonym="Suomi" data-language-local-name="핀란드어" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Mat%C3%B5maatiga" title="Matõmaatiga – Võro" lang="vro" hreflang="vro" data-title="Matõmaatiga" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fj mw-list-item"><a href="https://fj.wikipedia.org/wiki/Fika" title="Fika – 피지어" lang="fj" hreflang="fj" data-title="Fika" data-language-autonym="Na Vosa Vakaviti" data-language-local-name="피지어" class="interlanguage-link-target"><span>Na Vosa Vakaviti</span></a></li><li class="interlanguage-link interwiki-fo mw-list-item"><a href="https://fo.wikipedia.org/wiki/St%C3%B8ddfr%C3%B8%C3%B0i" title="Støddfrøði – 페로어" lang="fo" hreflang="fo" data-title="Støddfrøði" data-language-autonym="Føroyskt" data-language-local-name="페로어" class="interlanguage-link-target"><span>Føroyskt</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Math%C3%A9matiques" title="Mathématiques – 프랑스어" lang="fr" hreflang="fr" data-title="Mathématiques" data-language-autonym="Français" data-language-local-name="프랑스어" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frp mw-list-item"><a href="https://frp.wikipedia.org/wiki/Mat%C3%A8matiques" title="Matèmatiques – Arpitan" lang="frp" hreflang="frp" data-title="Matèmatiques" data-language-autonym="Arpetan" data-language-local-name="Arpitan" class="interlanguage-link-target"><span>Arpetan</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Matematiik" title="Matematiik – 북부 프리지아어" lang="frr" hreflang="frr" data-title="Matematiik" data-language-autonym="Nordfriisk" data-language-local-name="북부 프리지아어" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/Matematiche" title="Matematiche – 프리울리어" lang="fur" hreflang="fur" data-title="Matematiche" data-language-autonym="Furlan" data-language-local-name="프리울리어" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Wiskunde" title="Wiskunde – 서부 프리지아어" lang="fy" hreflang="fy" data-title="Wiskunde" data-language-autonym="Frysk" data-language-local-name="서부 프리지아어" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Matamaitic" title="Matamaitic – 아일랜드어" lang="ga" hreflang="ga" data-title="Matamaitic" data-language-autonym="Gaeilge" data-language-local-name="아일랜드어" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E6%95%B8%E5%AD%B8" title="數學 – 간어" lang="gan" hreflang="gan" data-title="數學" data-language-autonym="贛語" data-language-local-name="간어" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Mat%C3%A9matik" title="Matématik – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Matématik" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Matamataig" title="Matamataig – 스코틀랜드 게일어" lang="gd" hreflang="gd" data-title="Matamataig" data-language-autonym="Gàidhlig" data-language-local-name="스코틀랜드 게일어" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Matem%C3%A1ticas" title="Matemáticas – 갈리시아어" lang="gl" hreflang="gl" data-title="Matemáticas" data-language-autonym="Galego" data-language-local-name="갈리시아어" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-gn mw-list-item"><a href="https://gn.wikipedia.org/wiki/Papapykuaa" title="Papapykuaa – 과라니어" lang="gn" hreflang="gn" data-title="Papapykuaa" data-language-autonym="Avañe'ẽ" data-language-local-name="과라니어" class="interlanguage-link-target"><span>Avañe'ẽ</span></a></li><li class="interlanguage-link interwiki-gom mw-list-item"><a href="https://gom.wikipedia.org/wiki/%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4%E0%B3%8D" title="ಗಣಿತ್ – 고아 콘칸어" lang="gom" hreflang="gom" data-title="ಗಣಿತ್" data-language-autonym="गोंयची कोंकणी / Gõychi Konknni" data-language-local-name="고아 콘칸어" class="interlanguage-link-target"><span>गोंयची कोंकणी / Gõychi Konknni</span></a></li><li class="interlanguage-link interwiki-gor mw-list-item"><a href="https://gor.wikipedia.org/wiki/Matematika" title="Matematika – 고론탈로어" lang="gor" hreflang="gor" data-title="Matematika" data-language-autonym="Bahasa Hulontalo" data-language-local-name="고론탈로어" class="interlanguage-link-target"><span>Bahasa Hulontalo</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%97%E0%AA%A3%E0%AA%BF%E0%AA%A4" title="ગણિત – 구자라트어" lang="gu" hreflang="gu" data-title="ગણિત" data-language-autonym="ગુજરાતી" data-language-local-name="구자라트어" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-gv mw-list-item"><a href="https://gv.wikipedia.org/wiki/Maddaght" title="Maddaght – 맹크스어" lang="gv" hreflang="gv" data-title="Maddaght" data-language-autonym="Gaelg" data-language-local-name="맹크스어" class="interlanguage-link-target"><span>Gaelg</span></a></li><li class="interlanguage-link interwiki-ha mw-list-item"><a href="https://ha.wikipedia.org/wiki/Lissafi" title="Lissafi – 하우사어" lang="ha" hreflang="ha" data-title="Lissafi" data-language-autonym="Hausa" data-language-local-name="하우사어" class="interlanguage-link-target"><span>Hausa</span></a></li><li class="interlanguage-link interwiki-hak mw-list-item"><a href="https://hak.wikipedia.org/wiki/Su-ho%CC%8Dk" title="Su-ho̍k – 하카어" lang="hak" hreflang="hak" data-title="Su-ho̍k" data-language-autonym="客家語 / Hak-kâ-ngî" data-language-local-name="하카어" class="interlanguage-link-target"><span>客家語 / Hak-kâ-ngî</span></a></li><li class="interlanguage-link interwiki-haw mw-list-item"><a href="https://haw.wikipedia.org/wiki/Makemakika" title="Makemakika – 하와이어" lang="haw" hreflang="haw" data-title="Makemakika" data-language-autonym="Hawaiʻi" data-language-local-name="하와이어" class="interlanguage-link-target"><span>Hawaiʻi</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94" title="מתמטיקה – 히브리어" lang="he" hreflang="he" data-title="מתמטיקה" data-language-autonym="עברית" data-language-local-name="히브리어" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – 힌디어" lang="hi" hreflang="hi" data-title="गणित" data-language-autonym="हिन्दी" data-language-local-name="힌디어" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Mathematics" title="Mathematics – 피지 힌디어" lang="hif" hreflang="hif" data-title="Mathematics" data-language-autonym="Fiji Hindi" data-language-local-name="피지 힌디어" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Matematika" title="Matematika – 크로아티아어" lang="hr" hreflang="hr" data-title="Matematika" data-language-autonym="Hrvatski" data-language-local-name="크로아티아어" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Matematik" title="Matematik – 아이티어" lang="ht" hreflang="ht" data-title="Matematik" data-language-autonym="Kreyòl ayisyen" data-language-local-name="아이티어" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Matematika" title="Matematika – 헝가리어" lang="hu" hreflang="hu" data-title="Matematika" data-language-autonym="Magyar" data-language-local-name="헝가리어" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A1%D5%A9%D5%A5%D5%B4%D5%A1%D5%BF%D5%AB%D5%AF%D5%A1" title="Մաթեմատիկա – 아르메니아어" lang="hy" hreflang="hy" data-title="Մաթեմատիկա" data-language-autonym="Հայերեն" data-language-local-name="아르메니아어" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia badge-Q17437796 badge-featuredarticle mw-list-item" title="알찬 글"><a href="https://ia.wikipedia.org/wiki/Mathematica" title="Mathematica – 인터링구아" lang="ia" hreflang="ia" data-title="Mathematica" data-language-autonym="Interlingua" data-language-local-name="인터링구아" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-iba mw-list-item"><a href="https://iba.wikipedia.org/wiki/Matematik" title="Matematik – 이반어" lang="iba" hreflang="iba" data-title="Matematik" data-language-autonym="Jaku Iban" data-language-local-name="이반어" class="interlanguage-link-target"><span>Jaku Iban</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Matematika" title="Matematika – 인도네시아어" lang="id" hreflang="id" data-title="Matematika" data-language-autonym="Bahasa Indonesia" data-language-local-name="인도네시아어" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ie mw-list-item"><a href="https://ie.wikipedia.org/wiki/Matematica" title="Matematica – 인테르링구에" lang="ie" hreflang="ie" data-title="Matematica" data-language-autonym="Interlingue" data-language-local-name="인테르링구에" class="interlanguage-link-target"><span>Interlingue</span></a></li><li class="interlanguage-link interwiki-ig mw-list-item"><a href="https://ig.wikipedia.org/wiki/%E1%BB%8Cm%C3%BAm%C3%BA-%C3%B3n%C3%BA%E1%BB%8Dg%E1%BB%A5g%E1%BB%A5" title="Ọmúmú-ónúọgụgụ – 이그보어" lang="ig" hreflang="ig" data-title="Ọmúmú-ónúọgụgụ" data-language-autonym="Igbo" data-language-local-name="이그보어" class="interlanguage-link-target"><span>Igbo</span></a></li><li class="interlanguage-link interwiki-ilo mw-list-item"><a href="https://ilo.wikipedia.org/wiki/Matematika" title="Matematika – 이로코어" lang="ilo" hreflang="ilo" data-title="Matematika" data-language-autonym="Ilokano" data-language-local-name="이로코어" class="interlanguage-link-target"><span>Ilokano</span></a></li><li class="interlanguage-link interwiki-inh mw-list-item"><a href="https://inh.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 인귀시어" lang="inh" hreflang="inh" data-title="Математика" data-language-autonym="ГӀалгӀай" data-language-local-name="인귀시어" class="interlanguage-link-target"><span>ГӀалгӀай</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Matematiko" title="Matematiko – 이도어" lang="io" hreflang="io" data-title="Matematiko" data-language-autonym="Ido" data-language-local-name="이도어" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/St%C3%A6r%C3%B0fr%C3%A6%C3%B0i" title="Stærðfræði – 아이슬란드어" lang="is" hreflang="is" data-title="Stærðfræði" data-language-autonym="Íslenska" data-language-local-name="아이슬란드어" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Matematica" title="Matematica – 이탈리아어" lang="it" hreflang="it" data-title="Matematica" data-language-autonym="Italiano" data-language-local-name="이탈리아어" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E6%95%B0%E5%AD%A6" title="数学 – 일본어" lang="ja" hreflang="ja" data-title="数学" data-language-autonym="日本語" data-language-local-name="일본어" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Matimatix" title="Matimatix – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Matimatix" data-language-autonym="Patois" data-language-local-name="Jamaican Creole English" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-jbo mw-list-item"><a href="https://jbo.wikipedia.org/wiki/cmaci" title="cmaci – 로반어" lang="jbo" hreflang="jbo" data-title="cmaci" data-language-autonym="La .lojban." data-language-local-name="로반어" class="interlanguage-link-target"><span>La .lojban.</span></a></li><li class="interlanguage-link interwiki-jv badge-Q17437796 badge-featuredarticle mw-list-item" title="알찬 글"><a href="https://jv.wikipedia.org/wiki/Mat%C3%A9matika" title="Matématika – 자바어" lang="jv" hreflang="jv" data-title="Matématika" data-language-autonym="Jawa" data-language-local-name="자바어" class="interlanguage-link-target"><span>Jawa</span></a></li><li class="interlanguage-link interwiki-ka badge-Q17437796 badge-featuredarticle mw-list-item" title="알찬 글"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%90" title="მათემატიკა – 조지아어" lang="ka" hreflang="ka" data-title="მათემატიკა" data-language-autonym="ქართული" data-language-local-name="조지아어" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kaa mw-list-item"><a href="https://kaa.wikipedia.org/wiki/Matematika" title="Matematika – 카라칼파크어" lang="kaa" hreflang="kaa" data-title="Matematika" data-language-autonym="Qaraqalpaqsha" data-language-local-name="카라칼파크어" class="interlanguage-link-target"><span>Qaraqalpaqsha</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Tusnakt" title="Tusnakt – 커바일어" lang="kab" hreflang="kab" data-title="Tusnakt" data-language-autonym="Taqbaylit" data-language-local-name="커바일어" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kge mw-list-item"><a href="https://kge.wikipedia.org/wiki/Matematika" title="Matematika – Komering" lang="kge" hreflang="kge" data-title="Matematika" data-language-autonym="Kumoring" data-language-local-name="Komering" class="interlanguage-link-target"><span>Kumoring</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 카자흐어" lang="kk" hreflang="kk" data-title="Математика" data-language-autonym="Қазақша" data-language-local-name="카자흐어" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kl mw-list-item"><a href="https://kl.wikipedia.org/wiki/Matematikki" title="Matematikki – 그린란드어" lang="kl" hreflang="kl" data-title="Matematikki" data-language-autonym="Kalaallisut" data-language-local-name="그린란드어" class="interlanguage-link-target"><span>Kalaallisut</span></a></li><li class="interlanguage-link interwiki-km mw-list-item"><a href="https://km.wikipedia.org/wiki/%E1%9E%82%E1%9E%8E%E1%9E%B7%E1%9E%8F%E1%9E%9C%E1%9E%B7%E1%9E%91%E1%9F%92%E1%9E%99%E1%9E%B6" title="គណិតវិទ្យា – 크메르어" lang="km" hreflang="km" data-title="គណិតវិទ្យា" data-language-autonym="ភាសាខ្មែរ" data-language-local-name="크메르어" class="interlanguage-link-target"><span>ភាសាខ្មែរ</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4" title="ಗಣಿತ – 칸나다어" lang="kn" hreflang="kn" data-title="ಗಣಿತ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="칸나다어" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-krc mw-list-item"><a href="https://krc.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 카라챠이-발카르어" lang="krc" hreflang="krc" data-title="Математика" data-language-autonym="Къарачай-малкъар" data-language-local-name="카라챠이-발카르어" class="interlanguage-link-target"><span>Къарачай-малкъар</span></a></li><li class="interlanguage-link interwiki-ks mw-list-item"><a href="https://ks.wikipedia.org/wiki/%DA%AF%D8%B1%D9%9B%D8%A0%D9%86%D8%AF%D9%8F%D8%AA" title="گرٛؠندُت – 카슈미르어" lang="ks" hreflang="ks" data-title="گرٛؠندُت" data-language-autonym="कॉशुर / کٲشُر" data-language-local-name="카슈미르어" class="interlanguage-link-target"><span>कॉशुर / کٲشُر</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Matemat%C3%AEk" title="Matematîk – 쿠르드어" lang="ku" hreflang="ku" data-title="Matematîk" data-language-autonym="Kurdî" data-language-local-name="쿠르드어" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-kw mw-list-item"><a href="https://kw.wikipedia.org/wiki/Awgrym" title="Awgrym – 콘월어" lang="kw" hreflang="kw" data-title="Awgrym" data-language-autonym="Kernowek" data-language-local-name="콘월어" class="interlanguage-link-target"><span>Kernowek</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%8F:%D0%A1%D0%BE%D0%BC%D0%BE/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Википедия:Сомо/Математика – 키르기스어" lang="ky" hreflang="ky" data-title="Википедия:Сомо/Математика" data-language-autonym="Кыргызча" data-language-local-name="키르기스어" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la badge-Q17437796 badge-featuredarticle mw-list-item" title="알찬 글"><a href="https://la.wikipedia.org/wiki/Mathematica" title="Mathematica – 라틴어" lang="la" hreflang="la" data-title="Mathematica" data-language-autonym="Latina" data-language-local-name="라틴어" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lad mw-list-item"><a href="https://lad.wikipedia.org/wiki/Matem%C3%A1tika" title="Matemátika – 라디노어" lang="lad" hreflang="lad" data-title="Matemátika" data-language-autonym="Ladino" data-language-local-name="라디노어" class="interlanguage-link-target"><span>Ladino</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Mathematik" title="Mathematik – 룩셈부르크어" lang="lb" hreflang="lb" data-title="Mathematik" data-language-autonym="Lëtzebuergesch" data-language-local-name="룩셈부르크어" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lez mw-list-item"><a href="https://lez.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 레즈기안어" lang="lez" hreflang="lez" data-title="Математика" data-language-autonym="Лезги" data-language-local-name="레즈기안어" class="interlanguage-link-target"><span>Лезги</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Matematica" title="Matematica – 링구아 프랑카 노바" lang="lfn" hreflang="lfn" data-title="Matematica" data-language-autonym="Lingua Franca Nova" data-language-local-name="링구아 프랑카 노바" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lg mw-list-item"><a href="https://lg.wikipedia.org/wiki/Ekibalangulo" title="Ekibalangulo – 간다어" lang="lg" hreflang="lg" data-title="Ekibalangulo" data-language-autonym="Luganda" data-language-local-name="간다어" class="interlanguage-link-target"><span>Luganda</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Mathematiek" title="Mathematiek – 림버거어" lang="li" hreflang="li" data-title="Mathematiek" data-language-autonym="Limburgs" data-language-local-name="림버거어" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Matematica" title="Matematica – Ligurian" lang="lij" hreflang="lij" data-title="Matematica" data-language-autonym="Ligure" data-language-local-name="Ligurian" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lld mw-list-item"><a href="https://lld.wikipedia.org/wiki/Matematica" title="Matematica – Ladin" lang="lld" hreflang="lld" data-title="Matematica" data-language-autonym="Ladin" data-language-local-name="Ladin" class="interlanguage-link-target"><span>Ladin</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Matematega" title="Matematega – Lombard" lang="lmo" hreflang="lmo" data-title="Matematega" data-language-autonym="Lombard" data-language-local-name="Lombard" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%84%E0%BA%B0%E0%BA%99%E0%BA%B4%E0%BA%94%E0%BA%AA%E0%BA%B2%E0%BA%94" title="ຄະນິດສາດ – 라오어" lang="lo" hreflang="lo" data-title="ຄະນິດສາດ" data-language-autonym="ລາວ" data-language-local-name="라오어" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Matematika" title="Matematika – 리투아니아어" lang="lt" hreflang="lt" data-title="Matematika" data-language-autonym="Lietuvių" data-language-local-name="리투아니아어" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Matem%C4%81tika" title="Matemātika – 라트비아어" lang="lv" hreflang="lv" data-title="Matemātika" data-language-autonym="Latviešu" data-language-local-name="라트비아어" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mad mw-list-item"><a href="https://mad.wikipedia.org/wiki/Matematika" title="Matematika – 마두라어" lang="mad" hreflang="mad" data-title="Matematika" data-language-autonym="Madhurâ" data-language-local-name="마두라어" class="interlanguage-link-target"><span>Madhurâ</span></a></li><li class="interlanguage-link interwiki-mai mw-list-item"><a href="https://mai.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – 마이틸리어" lang="mai" hreflang="mai" data-title="गणित" data-language-autonym="मैथिली" data-language-local-name="마이틸리어" class="interlanguage-link-target"><span>मैथिली</span></a></li><li class="interlanguage-link interwiki-map-bms mw-list-item"><a href="https://map-bms.wikipedia.org/wiki/Matematika" title="Matematika – Banyumasan" lang="jv-x-bms" hreflang="jv-x-bms" data-title="Matematika" data-language-autonym="Basa Banyumasan" data-language-local-name="Banyumasan" class="interlanguage-link-target"><span>Basa Banyumasan</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Matematika" title="Matematika – 말라가시어" lang="mg" hreflang="mg" data-title="Matematika" data-language-autonym="Malagasy" data-language-local-name="말라가시어" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mhr mw-list-item"><a href="https://mhr.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B5" title="Математике – Eastern Mari" lang="mhr" hreflang="mhr" data-title="Математике" data-language-autonym="Олык марий" data-language-local-name="Eastern Mari" class="interlanguage-link-target"><span>Олык марий</span></a></li><li class="interlanguage-link interwiki-min mw-list-item"><a href="https://min.wikipedia.org/wiki/Matematika" title="Matematika – 미낭카바우어" lang="min" hreflang="min" data-title="Matematika" data-language-autonym="Minangkabau" data-language-local-name="미낭카바우어" class="interlanguage-link-target"><span>Minangkabau</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 마케도니아어" lang="mk" hreflang="mk" data-title="Математика" data-language-autonym="Македонски" data-language-local-name="마케도니아어" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%97%E0%B4%A3%E0%B4%BF%E0%B4%A4%E0%B4%82" title="ഗണിതം – 말라얄람어" lang="ml" hreflang="ml" data-title="ഗണിതം" data-language-autonym="മലയാളം" data-language-local-name="말라얄람어" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn badge-Q17437796 badge-featuredarticle mw-list-item" title="알찬 글"><a href="https://mn.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA" title="Математик – 몽골어" lang="mn" hreflang="mn" data-title="Математик" data-language-autonym="Монгол" data-language-local-name="몽골어" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-mni mw-list-item"><a href="https://mni.wikipedia.org/wiki/%EA%AF%86%EA%AF%A9%EA%AF%81%EA%AF%A4%EA%AF%A1%EA%AF%82%EA%AF%A3%EA%AF%9F" title="ꯆꯩꯁꯤꯡꯂꯣꯟ – 마니푸리어" lang="mni" hreflang="mni" data-title="ꯆꯩꯁꯤꯡꯂꯣꯟ" data-language-autonym="ꯃꯤꯇꯩ ꯂꯣꯟ" data-language-local-name="마니푸리어" class="interlanguage-link-target"><span>ꯃꯤꯇꯩ ꯂꯣꯟ</span></a></li><li class="interlanguage-link interwiki-mnw mw-list-item"><a href="https://mnw.wikipedia.org/wiki/%E1%80%9E%E1%81%9A%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="သၚ်္ချာ – Mon" lang="mnw" hreflang="mnw" data-title="သၚ်္ချာ" data-language-autonym="ဘာသာမန်" data-language-local-name="Mon" class="interlanguage-link-target"><span>ဘာသာမန်</span></a></li><li class="interlanguage-link interwiki-mr mw-list-item"><a href="https://mr.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – 마라티어" lang="mr" hreflang="mr" data-title="गणित" data-language-autonym="मराठी" data-language-local-name="마라티어" class="interlanguage-link-target"><span>मराठी</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Matematik" title="Matematik – 말레이어" lang="ms" hreflang="ms" data-title="Matematik" data-language-autonym="Bahasa Melayu" data-language-local-name="말레이어" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Matematika" title="Matematika – 몰타어" lang="mt" hreflang="mt" data-title="Matematika" data-language-autonym="Malti" data-language-local-name="몰타어" class="interlanguage-link-target"><span>Malti</span></a></li><li class="interlanguage-link interwiki-mwl mw-list-item"><a href="https://mwl.wikipedia.org/wiki/Matem%C3%A1tica" title="Matemática – 미란데어" lang="mwl" hreflang="mwl" data-title="Matemática" data-language-autonym="Mirandés" data-language-local-name="미란데어" class="interlanguage-link-target"><span>Mirandés</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%9E%E1%80%84%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="သင်္ချာ – 버마어" lang="my" hreflang="my" data-title="သင်္ချာ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="버마어" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 엘즈야어" lang="myv" hreflang="myv" data-title="Математика" data-language-autonym="Эрзянь" data-language-local-name="엘즈야어" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-mzn mw-list-item"><a href="https://mzn.wikipedia.org/wiki/%D8%B1%D9%82%D9%85" title="رقم – 마잔데라니어" lang="mzn" hreflang="mzn" data-title="رقم" data-language-autonym="مازِرونی" data-language-local-name="마잔데라니어" class="interlanguage-link-target"><span>مازِرونی</span></a></li><li class="interlanguage-link interwiki-nah mw-list-item"><a href="https://nah.wikipedia.org/wiki/Tlap%C5%8Dhualmatiliztli" title="Tlapōhualmatiliztli – Nahuatl" lang="nah" hreflang="nah" data-title="Tlapōhualmatiliztli" data-language-autonym="Nāhuatl" data-language-local-name="Nahuatl" class="interlanguage-link-target"><span>Nāhuatl</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Mathematik" title="Mathematik – 저지 독일어" lang="nds" hreflang="nds" data-title="Mathematik" data-language-autonym="Plattdüütsch" data-language-local-name="저지 독일어" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nds-nl mw-list-item"><a href="https://nds-nl.wikipedia.org/wiki/Wiskunde" title="Wiskunde – 저지 색슨어" lang="nds-NL" hreflang="nds-NL" data-title="Wiskunde" data-language-autonym="Nedersaksies" data-language-local-name="저지 색슨어" class="interlanguage-link-target"><span>Nedersaksies</span></a></li><li class="interlanguage-link interwiki-ne mw-list-item"><a href="https://ne.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4" title="गणित – 네팔어" lang="ne" hreflang="ne" data-title="गणित" data-language-autonym="नेपाली" data-language-local-name="네팔어" class="interlanguage-link-target"><span>नेपाली</span></a></li><li class="interlanguage-link interwiki-new mw-list-item"><a href="https://new.wikipedia.org/wiki/%E0%A4%B2%E0%A5%8D%E0%A4%AF%E0%A4%BE%E0%A4%83%E0%A4%9C%E0%A5%8D%E0%A4%AF%E0%A4%BE" title="ल्याःज्या – 네와르어" lang="new" hreflang="new" data-title="ल्याःज्या" data-language-autonym="नेपाल भाषा" data-language-local-name="네와르어" class="interlanguage-link-target"><span>नेपाल भाषा</span></a></li><li class="interlanguage-link interwiki-nia mw-list-item"><a href="https://nia.wikipedia.org/wiki/Matematika" title="Matematika – 니아스어" lang="nia" hreflang="nia" data-title="Matematika" data-language-autonym="Li Niha" data-language-local-name="니아스어" class="interlanguage-link-target"><span>Li Niha</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wiskunde" title="Wiskunde – 네덜란드어" lang="nl" hreflang="nl" data-title="Wiskunde" data-language-autonym="Nederlands" data-language-local-name="네덜란드어" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Matematikk" title="Matematikk – 노르웨이어(니노르스크)" lang="nn" hreflang="nn" data-title="Matematikk" data-language-autonym="Norsk nynorsk" data-language-local-name="노르웨이어(니노르스크)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Matematikk" title="Matematikk – 노르웨이어(보크말)" lang="nb" hreflang="nb" data-title="Matematikk" data-language-autonym="Norsk bokmål" data-language-local-name="노르웨이어(보크말)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/Matematike" title="Matematike – Novial" lang="nov" hreflang="nov" data-title="Matematike" data-language-autonym="Novial" data-language-local-name="Novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-nrm mw-list-item"><a href="https://nrm.wikipedia.org/wiki/Caltchul" title="Caltchul – Norman" lang="nrf" hreflang="nrf" data-title="Caltchul" data-language-autonym="Nouormand" data-language-local-name="Norman" class="interlanguage-link-target"><span>Nouormand</span></a></li><li class="interlanguage-link interwiki-nv mw-list-item"><a href="https://nv.wikipedia.org/wiki/A%C5%82hii%CA%BCn%C3%ADn%C3%A1%CA%BCiidz%C3%B3%C3%B3h" title="Ałhiiʼnínáʼiidzóóh – 나바호어" lang="nv" hreflang="nv" data-title="Ałhiiʼnínáʼiidzóóh" data-language-autonym="Diné bizaad" data-language-local-name="나바호어" class="interlanguage-link-target"><span>Diné bizaad</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Matematicas" title="Matematicas – 오크어" lang="oc" hreflang="oc" data-title="Matematicas" data-language-autonym="Occitan" data-language-local-name="오크어" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-olo mw-list-item"><a href="https://olo.wikipedia.org/wiki/Matematiekku" title="Matematiekku – Livvi-Karelian" lang="olo" hreflang="olo" data-title="Matematiekku" data-language-autonym="Livvinkarjala" data-language-local-name="Livvi-Karelian" class="interlanguage-link-target"><span>Livvinkarjala</span></a></li><li class="interlanguage-link interwiki-om mw-list-item"><a href="https://om.wikipedia.org/wiki/Herrega" title="Herrega – 오로모어" lang="om" hreflang="om" data-title="Herrega" data-language-autonym="Oromoo" data-language-local-name="오로모어" class="interlanguage-link-target"><span>Oromoo</span></a></li><li class="interlanguage-link interwiki-or mw-list-item"><a href="https://or.wikipedia.org/wiki/%E0%AC%97%E0%AC%A3%E0%AC%BF%E0%AC%A4" title="ଗଣିତ – 오리야어" lang="or" hreflang="or" data-title="ଗଣିତ" data-language-autonym="ଓଡ଼ିଆ" data-language-local-name="오리야어" class="interlanguage-link-target"><span>ଓଡ଼ିଆ</span></a></li><li class="interlanguage-link interwiki-os mw-list-item"><a href="https://os.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%C3%A6" title="Математикæ – 오세트어" lang="os" hreflang="os" data-title="Математикæ" data-language-autonym="Ирон" data-language-local-name="오세트어" class="interlanguage-link-target"><span>Ирон</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%97%E0%A8%A3%E0%A8%BF%E0%A8%A4" title="ਗਣਿਤ – 펀잡어" lang="pa" hreflang="pa" data-title="ਗਣਿਤ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="펀잡어" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pag mw-list-item"><a href="https://pag.wikipedia.org/wiki/Matematiks" title="Matematiks – 판가시난어" lang="pag" hreflang="pag" data-title="Matematiks" data-language-autonym="Pangasinan" data-language-local-name="판가시난어" class="interlanguage-link-target"><span>Pangasinan</span></a></li><li class="interlanguage-link interwiki-pam mw-list-item"><a href="https://pam.wikipedia.org/wiki/Matematica" title="Matematica – 팜팡가어" lang="pam" hreflang="pam" data-title="Matematica" data-language-autonym="Kapampangan" data-language-local-name="팜팡가어" class="interlanguage-link-target"><span>Kapampangan</span></a></li><li class="interlanguage-link interwiki-pap mw-list-item"><a href="https://pap.wikipedia.org/wiki/Matem%C3%A1tika" title="Matemátika – 파피아먼토어" lang="pap" hreflang="pap" data-title="Matemátika" data-language-autonym="Papiamentu" data-language-local-name="파피아먼토어" class="interlanguage-link-target"><span>Papiamentu</span></a></li><li class="interlanguage-link interwiki-pcd mw-list-item"><a href="https://pcd.wikipedia.org/wiki/Mat%C3%A9matikes" title="Matématikes – Picard" lang="pcd" hreflang="pcd" data-title="Matématikes" data-language-autonym="Picard" data-language-local-name="Picard" class="interlanguage-link-target"><span>Picard</span></a></li><li class="interlanguage-link interwiki-pi mw-list-item"><a href="https://pi.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A4%82" title="गणितं – 팔리어" lang="pi" hreflang="pi" data-title="गणितं" data-language-autonym="पालि" data-language-local-name="팔리어" class="interlanguage-link-target"><span>पालि</span></a></li><li class="interlanguage-link interwiki-pih mw-list-item"><a href="https://pih.wikipedia.org/wiki/Maethamatiks" title="Maethamatiks – Norfuk / Pitkern" lang="pih" hreflang="pih" data-title="Maethamatiks" data-language-autonym="Norfuk / Pitkern" data-language-local-name="Norfuk / Pitkern" class="interlanguage-link-target"><span>Norfuk / Pitkern</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Matematyka" title="Matematyka – 폴란드어" lang="pl" hreflang="pl" data-title="Matematyka" data-language-autonym="Polski" data-language-local-name="폴란드어" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Matem%C3%A0tica" title="Matemàtica – Piedmontese" lang="pms" hreflang="pms" data-title="Matemàtica" data-language-autonym="Piemontèis" data-language-local-name="Piedmontese" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C" title="ریاضی – Western Punjabi" lang="pnb" hreflang="pnb" data-title="ریاضی" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-ps mw-list-item"><a href="https://ps.wikipedia.org/wiki/%D8%B4%D9%85%DB%90%D8%B1%D9%BE%D9%88%D9%87%D9%86%D9%87" title="شمېرپوهنه – 파슈토어" lang="ps" hreflang="ps" data-title="شمېرپوهنه" data-language-autonym="پښتو" data-language-local-name="파슈토어" class="interlanguage-link-target"><span>پښتو</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Matem%C3%A1tica" title="Matemática – 포르투갈어" lang="pt" hreflang="pt" data-title="Matemática" data-language-autonym="Português" data-language-local-name="포르투갈어" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Yupay_yachay" title="Yupay yachay – 케추아어" lang="qu" hreflang="qu" data-title="Yupay yachay" data-language-autonym="Runa Simi" data-language-local-name="케추아어" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Matematic%C4%83" title="Matematică – 루마니아어" lang="ro" hreflang="ro" data-title="Matematică" data-language-autonym="Română" data-language-local-name="루마니아어" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-roa-rup mw-list-item"><a href="https://roa-rup.wikipedia.org/wiki/Mathematic%C3%A2" title="Mathematicâ – 아로마니아어" lang="rup" hreflang="rup" data-title="Mathematicâ" data-language-autonym="Armãneashti" data-language-local-name="아로마니아어" class="interlanguage-link-target"><span>Armãneashti</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 러시아어" lang="ru" hreflang="ru" data-title="Математика" data-language-autonym="Русский" data-language-local-name="러시아어" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D1%96%D0%BA%D0%B0" title="Математіка – 루신어" lang="rue" hreflang="rue" data-title="Математіка" data-language-autonym="Русиньскый" data-language-local-name="루신어" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sa mw-list-item"><a href="https://sa.wikipedia.org/wiki/%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4%E0%A4%AE%E0%A5%8D" title="गणितम् – 산스크리트어" lang="sa" hreflang="sa" data-title="गणितम्" data-language-autonym="संस्कृतम्" data-language-local-name="산스크리트어" class="interlanguage-link-target"><span>संस्कृतम्</span></a></li><li class="interlanguage-link interwiki-sah mw-list-item"><a href="https://sah.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 야쿠트어" lang="sah" hreflang="sah" data-title="Математика" data-language-autonym="Саха тыла" data-language-local-name="야쿠트어" class="interlanguage-link-target"><span>Саха тыла</span></a></li><li class="interlanguage-link interwiki-sat mw-list-item"><a href="https://sat.wikipedia.org/wiki/%E1%B1%AE%E1%B1%9E%E1%B1%A0%E1%B1%B7%E1%B1%9F" title="ᱮᱞᱠᱷᱟ – 산탈리어" lang="sat" hreflang="sat" data-title="ᱮᱞᱠᱷᱟ" data-language-autonym="ᱥᱟᱱᱛᱟᱲᱤ" data-language-local-name="산탈리어" class="interlanguage-link-target"><span>ᱥᱟᱱᱛᱟᱲᱤ</span></a></li><li class="interlanguage-link interwiki-sc badge-Q17437796 badge-featuredarticle mw-list-item" title="알찬 글"><a href="https://sc.wikipedia.org/wiki/Matem%C3%A0tica" title="Matemàtica – 사르디니아어" lang="sc" hreflang="sc" data-title="Matemàtica" data-language-autonym="Sardu" data-language-local-name="사르디니아어" class="interlanguage-link-target"><span>Sardu</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Matim%C3%A0tica" title="Matimàtica – 시칠리아어" lang="scn" hreflang="scn" data-title="Matimàtica" data-language-autonym="Sicilianu" data-language-local-name="시칠리아어" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Mathematics" title="Mathematics – 스코틀랜드어" lang="sco" hreflang="sco" data-title="Mathematics" data-language-autonym="Scots" data-language-local-name="스코틀랜드어" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sd mw-list-item"><a href="https://sd.wikipedia.org/wiki/%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A" title="رياضي – 신디어" lang="sd" hreflang="sd" data-title="رياضي" data-language-autonym="سنڌي" data-language-local-name="신디어" class="interlanguage-link-target"><span>سنڌي</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Matematika" title="Matematika – 세르비아-크로아티아어" lang="sh" hreflang="sh" data-title="Matematika" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="세르비아-크로아티아어" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-shi mw-list-item"><a href="https://shi.wikipedia.org/wiki/Tusnakt" title="Tusnakt – 타셸히트어" lang="shi" hreflang="shi" data-title="Tusnakt" data-language-autonym="Taclḥit" data-language-local-name="타셸히트어" class="interlanguage-link-target"><span>Taclḥit</span></a></li><li class="interlanguage-link interwiki-si mw-list-item"><a href="https://si.wikipedia.org/wiki/%E0%B6%9C%E0%B6%AB%E0%B7%92%E0%B6%AD%E0%B6%BA" title="ගණිතය – 싱할라어" lang="si" hreflang="si" data-title="ගණිතය" data-language-autonym="සිංහල" data-language-local-name="싱할라어" class="interlanguage-link-target"><span>සිංහල</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Mathematics" title="Mathematics – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mathematics" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Matematika" title="Matematika – 슬로바키아어" lang="sk" hreflang="sk" data-title="Matematika" data-language-autonym="Slovenčina" data-language-local-name="슬로바키아어" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-skr mw-list-item"><a href="https://skr.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C" title="ریاضی – Saraiki" lang="skr" hreflang="skr" data-title="ریاضی" data-language-autonym="سرائیکی" data-language-local-name="Saraiki" class="interlanguage-link-target"><span>سرائیکی</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Matematika" title="Matematika – 슬로베니아어" lang="sl" hreflang="sl" data-title="Matematika" data-language-autonym="Slovenščina" data-language-local-name="슬로베니아어" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sm mw-list-item"><a href="https://sm.wikipedia.org/wiki/Matematika" title="Matematika – 사모아어" lang="sm" hreflang="sm" data-title="Matematika" data-language-autonym="Gagana Samoa" data-language-local-name="사모아어" class="interlanguage-link-target"><span>Gagana Samoa</span></a></li><li class="interlanguage-link interwiki-sn mw-list-item"><a href="https://sn.wikipedia.org/wiki/Masvomhu" title="Masvomhu – 쇼나어" lang="sn" hreflang="sn" data-title="Masvomhu" data-language-autonym="ChiShona" data-language-local-name="쇼나어" class="interlanguage-link-target"><span>ChiShona</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Tiromaal" title="Tiromaal – 소말리아어" lang="so" hreflang="so" data-title="Tiromaal" data-language-autonym="Soomaaliga" data-language-local-name="소말리아어" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Matematika" title="Matematika – 알바니아어" lang="sq" hreflang="sq" data-title="Matematika" data-language-autonym="Shqip" data-language-local-name="알바니아어" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 세르비아어" lang="sr" hreflang="sr" data-title="Математика" data-language-autonym="Српски / srpski" data-language-local-name="세르비아어" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-srn mw-list-item"><a href="https://srn.wikipedia.org/wiki/Sabi_fu_Teri" title="Sabi fu Teri – 스라난 통가어" lang="srn" hreflang="srn" data-title="Sabi fu Teri" data-language-autonym="Sranantongo" data-language-local-name="스라난 통가어" class="interlanguage-link-target"><span>Sranantongo</span></a></li><li class="interlanguage-link interwiki-ss mw-list-item"><a href="https://ss.wikipedia.org/wiki/Tekubala" title="Tekubala – 시스와티어" lang="ss" hreflang="ss" data-title="Tekubala" data-language-autonym="SiSwati" data-language-local-name="시스와티어" class="interlanguage-link-target"><span>SiSwati</span></a></li><li class="interlanguage-link interwiki-stq mw-list-item"><a href="https://stq.wikipedia.org/wiki/Mathematik" title="Mathematik – Saterland Frisian" lang="stq" hreflang="stq" data-title="Mathematik" data-language-autonym="Seeltersk" data-language-local-name="Saterland Frisian" class="interlanguage-link-target"><span>Seeltersk</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Matematika" title="Matematika – 순다어" lang="su" hreflang="su" data-title="Matematika" data-language-autonym="Sunda" data-language-local-name="순다어" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Matematik" title="Matematik – 스웨덴어" lang="sv" hreflang="sv" data-title="Matematik" data-language-autonym="Svenska" data-language-local-name="스웨덴어" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Hisabati" title="Hisabati – 스와힐리어" lang="sw" hreflang="sw" data-title="Hisabati" data-language-autonym="Kiswahili" data-language-local-name="스와힐리어" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Matymatyka" title="Matymatyka – Silesian" lang="szl" hreflang="szl" data-title="Matymatyka" data-language-autonym="Ślůnski" data-language-local-name="Silesian" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D" title="கணிதம் – 타밀어" lang="ta" hreflang="ta" data-title="கணிதம்" data-language-autonym="தமிழ்" data-language-local-name="타밀어" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-tcy mw-list-item"><a href="https://tcy.wikipedia.org/wiki/%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4" title="ಗಣಿತ – Tulu" lang="tcy" hreflang="tcy" data-title="ಗಣಿತ" data-language-autonym="ತುಳು" data-language-local-name="Tulu" class="interlanguage-link-target"><span>ತುಳು</span></a></li><li class="interlanguage-link interwiki-tdd mw-list-item"><a href="https://tdd.wikipedia.org/wiki/%E1%A5%99%E1%A5%A3%E1%A5%AD%E1%A5%B0_%E1%A5%98%E1%A5%99%E1%A5%B3" title="ᥙᥣᥭᥰ ᥘᥙᥳ – Tai Nuea" lang="tdd" hreflang="tdd" data-title="ᥙᥣᥭᥰ ᥘᥙᥳ" data-language-autonym="ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ" data-language-local-name="Tai Nuea" class="interlanguage-link-target"><span>ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%97%E0%B0%A3%E0%B0%BF%E0%B0%A4%E0%B0%82" title="గణితం – 텔루구어" lang="te" hreflang="te" data-title="గణితం" data-language-autonym="తెలుగు" data-language-local-name="텔루구어" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-tet mw-list-item"><a href="https://tet.wikipedia.org/wiki/Matem%C3%A1tika" title="Matemátika – 테툼어" lang="tet" hreflang="tet" data-title="Matemátika" data-language-autonym="Tetun" data-language-local-name="테툼어" class="interlanguage-link-target"><span>Tetun</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A0%D0%B8%D1%91%D0%B7%D0%B8%D1%91%D1%82" title="Риёзиёт – 타지크어" lang="tg" hreflang="tg" data-title="Риёзиёт" data-language-autonym="Тоҷикӣ" data-language-local-name="타지크어" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B8%A8%E0%B8%B2%E0%B8%AA%E0%B8%95%E0%B8%A3%E0%B9%8C" title="คณิตศาสตร์ – 태국어" lang="th" hreflang="th" data-title="คณิตศาสตร์" data-language-autonym="ไทย" data-language-local-name="태국어" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Matematika" title="Matematika – 투르크멘어" lang="tk" hreflang="tk" data-title="Matematika" data-language-autonym="Türkmençe" data-language-local-name="투르크멘어" class="interlanguage-link-target"><span>Türkmençe</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Matematika" title="Matematika – 타갈로그어" lang="tl" hreflang="tl" data-title="Matematika" data-language-autonym="Tagalog" data-language-local-name="타갈로그어" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tly mw-list-item"><a href="https://tly.wikipedia.org/wiki/Rijozijot" title="Rijozijot – 탈리쉬어" lang="tly" hreflang="tly" data-title="Rijozijot" data-language-autonym="Tolışi" data-language-local-name="탈리쉬어" class="interlanguage-link-target"><span>Tolışi</span></a></li><li class="interlanguage-link interwiki-tn mw-list-item"><a href="https://tn.wikipedia.org/wiki/Dipalo" title="Dipalo – 츠와나어" lang="tn" hreflang="tn" data-title="Dipalo" data-language-autonym="Setswana" data-language-local-name="츠와나어" class="interlanguage-link-target"><span>Setswana</span></a></li><li class="interlanguage-link interwiki-tpi mw-list-item"><a href="https://tpi.wikipedia.org/wiki/Ol_matematik" title="Ol matematik – 토크 피신어" lang="tpi" hreflang="tpi" data-title="Ol matematik" data-language-autonym="Tok Pisin" data-language-local-name="토크 피신어" class="interlanguage-link-target"><span>Tok Pisin</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Matematik" title="Matematik – 터키어" lang="tr" hreflang="tr" data-title="Matematik" data-language-autonym="Türkçe" data-language-local-name="터키어" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Dyondzo-Tinhlayo" title="Dyondzo-Tinhlayo – 총가어" lang="ts" hreflang="ts" data-title="Dyondzo-Tinhlayo" data-language-autonym="Xitsonga" data-language-local-name="총가어" class="interlanguage-link-target"><span>Xitsonga</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 타타르어" lang="tt" hreflang="tt" data-title="Математика" data-language-autonym="Татарча / tatarça" data-language-local-name="타타르어" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-udm mw-list-item"><a href="https://udm.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 우드말트어" lang="udm" hreflang="udm" data-title="Математика" data-language-autonym="Удмурт" data-language-local-name="우드말트어" class="interlanguage-link-target"><span>Удмурт</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 우크라이나어" lang="uk" hreflang="uk" data-title="Математика" data-language-autonym="Українська" data-language-local-name="우크라이나어" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C" title="ریاضی – 우르두어" lang="ur" hreflang="ur" data-title="ریاضی" data-language-autonym="اردو" data-language-local-name="우르두어" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Matematika" title="Matematika – 우즈베크어" lang="uz" hreflang="uz" data-title="Matematika" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="우즈베크어" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/Matem%C3%A0tega" title="Matemàtega – Venetian" lang="vec" hreflang="vec" data-title="Matemàtega" data-language-autonym="Vèneto" data-language-local-name="Venetian" class="interlanguage-link-target"><span>Vèneto</span></a></li><li class="interlanguage-link interwiki-vep mw-list-item"><a href="https://vep.wikipedia.org/wiki/Matematik" title="Matematik – Veps" lang="vep" hreflang="vep" data-title="Matematik" data-language-autonym="Vepsän kel’" data-language-local-name="Veps" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-vi badge-Q17437798 badge-goodarticle mw-list-item" title="좋은 글"><a href="https://vi.wikipedia.org/wiki/To%C3%A1n_h%E1%BB%8Dc" title="Toán học – 베트남어" lang="vi" hreflang="vi" data-title="Toán học" data-language-autonym="Tiếng Việt" data-language-local-name="베트남어" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Wiskunde" title="Wiskunde – West Flemish" lang="vls" hreflang="vls" data-title="Wiskunde" data-language-autonym="West-Vlams" data-language-local-name="West Flemish" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-vo badge-Q17437796 badge-featuredarticle mw-list-item" title="알찬 글"><a href="https://vo.wikipedia.org/wiki/Matemat" title="Matemat – 볼라퓌크어" lang="vo" hreflang="vo" data-title="Matemat" data-language-autonym="Volapük" data-language-local-name="볼라퓌크어" class="interlanguage-link-target"><span>Volapük</span></a></li><li class="interlanguage-link interwiki-wa mw-list-item"><a href="https://wa.wikipedia.org/wiki/Matematike" title="Matematike – 왈론어" lang="wa" hreflang="wa" data-title="Matematike" data-language-autonym="Walon" data-language-local-name="왈론어" class="interlanguage-link-target"><span>Walon</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Matematika" title="Matematika – 와라이어" lang="war" hreflang="war" data-title="Matematika" data-language-autonym="Winaray" data-language-local-name="와라이어" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wo mw-list-item"><a href="https://wo.wikipedia.org/wiki/Xayma" title="Xayma – 월로프어" lang="wo" hreflang="wo" data-title="Xayma" data-language-autonym="Wolof" data-language-local-name="월로프어" class="interlanguage-link-target"><span>Wolof</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%95%B0%E5%AD%A6" title="数学 – 우어" lang="wuu" hreflang="wuu" data-title="数学" data-language-autonym="吴语" data-language-local-name="우어" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика – 칼미크어" lang="xal" hreflang="xal" data-title="Математика" data-language-autonym="Хальмг" data-language-local-name="칼미크어" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xh mw-list-item"><a href="https://xh.wikipedia.org/wiki/I-Mathematics" title="I-Mathematics – 코사어" lang="xh" hreflang="xh" data-title="I-Mathematics" data-language-autonym="IsiXhosa" data-language-local-name="코사어" class="interlanguage-link-target"><span>IsiXhosa</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%97%E1%83%94%E1%83%9B%E1%83%90%E1%83%A2%E1%83%98%E1%83%99%E1%83%90" title="მათემატიკა – Mingrelian" lang="xmf" hreflang="xmf" data-title="მათემატიკა" data-language-autonym="მარგალური" data-language-local-name="Mingrelian" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%9E%D7%90%D7%98%D7%A2%D7%9E%D7%90%D7%98%D7%99%D7%A7" title="מאטעמאטיק – 이디시어" lang="yi" hreflang="yi" data-title="מאטעמאטיק" data-language-autonym="ייִדיש" data-language-local-name="이디시어" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-yo mw-list-item"><a href="https://yo.wikipedia.org/wiki/Mathim%C3%A1t%C3%ADk%C3%AC" title="Mathimátíkì – 요루바어" lang="yo" hreflang="yo" data-title="Mathimátíkì" data-language-autonym="Yorùbá" data-language-local-name="요루바어" class="interlanguage-link-target"><span>Yorùbá</span></a></li><li class="interlanguage-link interwiki-za mw-list-item"><a href="https://za.wikipedia.org/wiki/Soqyoz" title="Soqyoz – 주앙어" lang="za" hreflang="za" data-title="Soqyoz" data-language-autonym="Vahcuengh" data-language-local-name="주앙어" class="interlanguage-link-target"><span>Vahcuengh</span></a></li><li class="interlanguage-link interwiki-zea mw-list-item"><a href="https://zea.wikipedia.org/wiki/Wiskunde" title="Wiskunde – Zeelandic" lang="zea" hreflang="zea" data-title="Wiskunde" data-language-autonym="Zeêuws" data-language-local-name="Zeelandic" class="interlanguage-link-target"><span>Zeêuws</span></a></li><li class="interlanguage-link interwiki-zgh mw-list-item"><a href="https://zgh.wikipedia.org/wiki/%E2%B5%9C%E2%B5%93%E2%B5%99%E2%B5%8F%E2%B4%B0%E2%B4%BD%E2%B5%9C" title="ⵜⵓⵙⵏⴰⴽⵜ – 표준 모로코 타마지트어" lang="zgh" hreflang="zgh" data-title="ⵜⵓⵙⵏⴰⴽⵜ" data-language-autonym="ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ" data-language-local-name="표준 모로코 타마지트어" class="interlanguage-link-target"><span>ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E6%95%B0%E5%AD%A6" title="数学 – 중국어" lang="zh" hreflang="zh" data-title="数学" data-language-autonym="中文" data-language-local-name="중국어" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E6%95%B8%E5%AD%B8" title="數學 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="數學" data-language-autonym="文言" data-language-local-name="Literary Chinese" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/S%C3%B2%CD%98-ha%CC%8Dk" title="Sò͘-ha̍k – 민난어" lang="nan" hreflang="nan" data-title="Sò͘-ha̍k" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="민난어" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E6%95%B8%E5%AD%B8" title="數學 – 광둥어" lang="yue" hreflang="yue" data-title="數學" data-language-autonym="粵語" data-language-local-name="광둥어" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/Umchazazibalo" title="Umchazazibalo – 줄루어" lang="zu" hreflang="zu" data-title="Umchazazibalo" data-language-autonym="IsiZulu" data-language-local-name="줄루어" class="interlanguage-link-target"><span>IsiZulu</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q395#sitelinks-wikipedia" title="언어 간 링크 편집" class="wbc-editpage">링크 편집</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="이름공간"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div 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모두의 백과사전.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="ko" dir="ltr"><p><span class="nowrap"></span> </p> <style data-mw-deduplicate="TemplateStyles:r34311307">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}body.skin-minerva .mw-parser-output .infobox-header,body.skin-minerva .mw-parser-output .infobox-subheader,body.skin-minerva .mw-parser-output .infobox-above,body.skin-minerva .mw-parser-output .infobox-title,body.skin-minerva .mw-parser-output .infobox-image,body.skin-minerva .mw-parser-output .infobox-full-data,body.skin-minerva .mw-parser-output .infobox-below{text-align:center}</style><table class="infobox vcard"><tbody><tr><th colspan="2" class="infobox-above" style="background-color:#aaaaaa">수학</th></tr><tr><td colspan="2" class="infobox-image"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Portal_Math_Banner_Background_ka.jpg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Portal_Math_Banner_Background_ka.jpg/330px-Portal_Math_Banner_Background_ka.jpg" decoding="async" width="330" height="111" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/31/Portal_Math_Banner_Background_ka.jpg/495px-Portal_Math_Banner_Background_ka.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/31/Portal_Math_Banner_Background_ka.jpg/660px-Portal_Math_Banner_Background_ka.jpg 2x" data-file-width="800" data-file-height="270" /></a></span></td></tr><tr><th scope="row" class="infobox-label">학문명</th><td class="infobox-data">수학</td></tr><tr><th scope="row" class="infobox-label">학문 분야</th><td class="infobox-data"><a href="/wiki/%EC%9E%90%EC%97%B0%EA%B3%BC%ED%95%99" title="자연과학">자연과학</a></td></tr><tr><th scope="row" class="infobox-label">관련 직업</th><td class="infobox-data"><a href="/wiki/%EC%88%98%ED%95%99%EC%9E%90" title="수학자">수학자</a></td></tr></tbody></table> <p><b>수학</b>(數學, <span style="font-size: smaller;"><a href="/wiki/%EC%98%81%EC%96%B4" title="영어">영어</a>: </span><span lang="en">mathematics, math, maths</span>)은 <a href="/wiki/%EC%88%98_(%EC%88%98%ED%95%99)" title="수 (수학)">수</a>, <a href="/wiki/%EC%96%91_(%ED%81%AC%EA%B8%B0)" title="양 (크기)">양</a>, <a href="/wiki/%EA%B5%AC%EC%A1%B0" title="구조">구조</a>, <a href="/wiki/%EA%B3%B5%EA%B0%84" title="공간">공간</a>, <a href="/wiki/%EB%B3%80%ED%99%94" title="변화">변화</a> 등의 <a href="/wiki/%EA%B0%9C%EB%85%90" title="개념">개념</a>을 다루는 <a href="/wiki/%ED%95%99%EB%AC%B8" title="학문">학문</a>이다.<sup id="cite_ref-OED_1-0" class="reference"><a href="#cite_note-OED-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> 널리 받아들여지는 명확한 정의는 없으나<sup id="cite_ref-Mura_2-0" class="reference"><a href="#cite_note-Mura-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> 현대 수학은 일반적으로 엄밀한 <a href="/wiki/%EB%85%BC%EB%A6%AC" class="mw-disambig" title="논리">논리</a>에 근거하여 <a href="/w/index.php?title=%EC%B6%94%EC%83%81%EC%A0%81_%EB%8C%80%EC%83%81&action=edit&redlink=1" class="new" title="추상적 대상 (없는 문서)">추상적 대상</a>을 탐구하며, 이는 규칙의 발견과 문제의 제시 및 해결의 과정으로 이루어진다.<sup id="cite_ref-devlin_3-0" class="reference"><a href="#cite_note-devlin-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> 수학은 그 발전 과정에 있어서 <a href="/wiki/%EC%B2%A0%ED%95%99" title="철학">철학</a>, <a href="/wiki/%EA%B3%BC%ED%95%99" title="과학">과학</a>과 깊은 연관을 맺고 있으며, 엄밀한 논리와 특유의 추상성, 보편성에 의해 다른 학문들과 구별된다. 특히 수학은 과학의 여느 분야들과는 달리 자연계에서 관측되지 않는 개념들에 대해서까지 <a href="/wiki/%EC%9D%B4%EB%A1%A0" title="이론">이론</a>을 추상화시키는 특징을 보이는데, <a href="/wiki/%EC%88%98%ED%95%99%EC%9E%90" title="수학자">수학자</a>들은 그러한 개념들에 대한 <a href="/wiki/%EC%B6%94%EC%B8%A1" title="추측">추측</a>을 제시하고 적절하게 선택된 <a href="/wiki/%EC%A0%95%EC%9D%98_(%EB%85%BC%EB%A6%AC%ED%95%99)" title="정의 (논리학)">정의</a>와 <a href="/wiki/%EA%B3%B5%EB%A6%AC" title="공리">공리</a>로부터 엄밀한 <a href="/wiki/%EC%97%B0%EC%97%AD" title="연역">연역</a>을 거쳐 그 진위를 파악한다. </p><p>수학의 개념들은 기원전 600년 경에 활동하며 최초의 수학자로도 여겨지는 <a href="/wiki/%ED%83%88%EB%A0%88%EC%8A%A4" title="탈레스">탈레스</a>의 기록은 물론, 다른 고대 문명들에서도 찾아볼 수 있으며 인류의 문명과 함께 발전해 왔다. 오늘날 수학은 <a href="/wiki/%EC%9E%90%EC%97%B0%EA%B3%BC%ED%95%99" title="자연과학">자연과학</a>, <a href="/wiki/%EC%82%AC%ED%9A%8C%EA%B3%BC%ED%95%99" title="사회과학">사회과학</a>, <a href="/wiki/%EA%B3%B5%ED%95%99" title="공학">공학</a>, <a href="/wiki/%EC%9D%98%ED%95%99" title="의학">의학</a> 등 거의 모든 학문에서도 핵심적인 역할을 하며 다양한 방식으로 <a href="/wiki/%EC%9D%91%EC%9A%A9_%EC%88%98%ED%95%99" class="mw-redirect" title="응용 수학">응용</a>된다. </p><p>수학을 의미하는 mathematics라는 단어는 '아는 모든 것', '배우는 모든 것'이라는 뜻의 <a href="/wiki/%EA%B3%A0%EB%8C%80_%EA%B7%B8%EB%A6%AC%EC%8A%A4%EC%96%B4" title="고대 그리스어">고대 그리스어</a> 'máthēma'(μάθημα) 및 그 활용형 mathēmatikós(μαθηματικός)에서 유래되었다. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="역사"><span id=".EC.97.AD.EC.82.AC"></span>역사</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=1" title="부분 편집: 역사"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r34311305">.mw-parser-output .hatnote{}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}</style><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/18px-Icons8_flat_search.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/27px-Icons8_flat_search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/36px-Icons8_flat_search.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> 이 부분의 본문은 <a href="/wiki/%EC%88%98%ED%95%99%EC%9D%98_%EC%97%AD%EC%82%AC" class="mw-redirect" title="수학의 역사">수학의 역사</a>입니다.</div> <p>역사적으로 고대부터 현대에 이르기까지 문명에 필수적인 <a href="/wiki/%EA%B1%B4%EC%B6%95" title="건축">건축</a>, <a href="/wiki/%EC%B2%9C%EB%AC%B8%ED%95%99" title="천문학">천문학</a>, <a href="/wiki/%EC%A0%95%EC%B9%98" title="정치">정치</a>, <a href="/wiki/%EC%83%81%EC%97%85" title="상업">상업</a> 등에 수학적 개념들이 응용되어 왔다. 교역·분배·과세 등 인류의 사회 생활에 필요한 모든 계산에 수학이 관여해 왔고, 농경 생활에 필수적인 천문 관측과 달력의 제정, 토지의 측량 또한 수학이 직접적으로 사용된 분야이다. 고대 수학을 크게 발전시킨 문명으로는 <a href="/wiki/%EB%A9%94%EC%86%8C%ED%8F%AC%ED%83%80%EB%AF%B8%EC%95%84" title="메소포타미아">메소포타미아</a>, <a href="/wiki/%EC%9D%B4%EC%A7%91%ED%8A%B8" title="이집트">이집트</a>, <a href="/wiki/%EC%9D%B8%EB%8F%84" title="인도">인도</a>, <a href="/wiki/%EC%A4%91%EA%B5%AD" title="중국">중국</a>, <a href="/wiki/%EA%B7%B8%EB%A6%AC%EC%8A%A4" title="그리스">그리스</a> 등이 있다. </p><p>특히 고대 그리스 문명에서는 처음으로 <a href="/wiki/%EB%B0%A9%EC%A0%95%EC%8B%9D" title="방정식">방정식</a>에서 <a href="/wiki/%EB%B3%80%EC%88%98_(%EC%88%98%ED%95%99)" title="변수 (수학)">변수</a>를 문자로 쓰는 등 추상화가 발전하였고 <a href="/wiki/%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C%EC%9D%98_%EC%9B%90%EB%A1%A0" class="mw-redirect" title="유클리드의 원론">유클리드의 원론</a>에서는 최초로 엄밀한 논증에 근거한 수학이 나타난다. 수학의 발전은 이후로도 계속되어 <a href="/wiki/16%EC%84%B8%EA%B8%B0" title="16세기">16세기</a>의 <a href="/wiki/%EB%A5%B4%EB%84%A4%EC%83%81%EC%8A%A4" title="르네상스">르네상스</a>에 이르러서는 <a href="/wiki/%EA%B3%BC%ED%95%99%EC%A0%81_%EB%B0%A9%EB%B2%95" title="과학적 방법">과학적 방법</a>과의 <a href="/wiki/%EC%83%81%ED%98%B8_%EC%9E%91%EC%9A%A9" class="mw-redirect" title="상호 작용">상호 작용</a>을 통해 수학과 자연과학에 있어서 혁명적인 연구들이 진척되었고, 이는 인류 문명 발달에 큰 영향을 미치게 되었다. </p> <div class="mw-heading mw-heading2"><h2 id="세부_분야"><span id=".EC.84.B8.EB.B6.80_.EB.B6.84.EC.95.BC"></span>세부 분야</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=2" title="부분 편집: 세부 분야"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Abacus_6.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/af/Abacus_6.png/220px-Abacus_6.png" decoding="async" width="220" height="129" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/a/af/Abacus_6.png 1.5x" data-file-width="247" data-file-height="145" /></a><figcaption><a href="/wiki/%EC%A3%BC%ED%8C%90" title="주판">주판</a>은 고대로부터 계산 도구로 사용되어왔다.</figcaption></figure> <p>수학의 각 분야들은 상업에 필요한 계산을 하기 위해, 숫자들의 관계를 이해하기 위해, 토지를 측량하기 위해, 그리고 <a href="/wiki/%EC%B2%9C%EB%AC%B8%ED%95%99" title="천문학">천문학</a>적 사건들을 예견하기 위해 발전되어왔다. 이 네 가지 목적은 대략적으로 수학이 다루는 대상인 양, 구조, 공간 및 변화에 대응되며, 이들을 다루는 수학의 분야를 각각 <a href="/wiki/%EC%82%B0%EC%88%A0" title="산술">산술</a>, <a href="/wiki/%EB%8C%80%EC%88%98%ED%95%99" title="대수학">대수학</a>, <a href="/wiki/%EA%B8%B0%ED%95%98%ED%95%99" title="기하학">기하학</a>, <a href="/wiki/%ED%95%B4%EC%84%9D%ED%95%99_(%EC%88%98%ED%95%99)" title="해석학 (수학)">해석학</a>이라 한다. 또한 이 밖에도 근대 이후에 나타난 <a href="/wiki/%EC%88%98%ED%95%99%EA%B8%B0%EC%B4%88%EB%A1%A0" title="수학기초론">수학기초론</a>과 <a href="/wiki/%EC%9D%B4%EC%82%B0%EC%88%98%ED%95%99" title="이산수학">이산수학</a> 및 <a href="/wiki/%EC%9D%91%EC%9A%A9%EC%88%98%ED%95%99" title="응용수학">응용수학</a> 등이 있다. </p> <div class="mw-heading mw-heading3"><h3 id="산술"><span id=".EC.82.B0.EC.88.A0"></span>산술</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=3" title="부분 편집: 산술"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r34311305"><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/18px-Icons8_flat_search.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/27px-Icons8_flat_search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/36px-Icons8_flat_search.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> 이 부분의 본문은 <a href="/wiki/%EC%82%B0%EC%88%A0" title="산술">산술</a>입니다.</div> <p>산술은 <a href="/wiki/%EC%9E%90%EC%97%B0%EC%88%98" title="자연수">자연수</a>와 <a href="/wiki/%EC%A0%95%EC%88%98" title="정수">정수</a> 및 이에 대한 <a href="/wiki/%EC%82%AC%EC%B9%99%EC%97%B0%EC%82%B0" title="사칙연산">사칙연산</a>에 대한 연구로서 시작했다. <a href="/wiki/%EC%88%98%EB%A1%A0" title="수론">수론</a>은 이런 주제들을 보다 깊게 다루는 학문으로, 그 결과로는 <a href="/wiki/%ED%8E%98%EB%A5%B4%EB%A7%88%EC%9D%98_%EB%A7%88%EC%A7%80%EB%A7%89_%EC%A0%95%EB%A6%AC" title="페르마의 마지막 정리">페르마의 마지막 정리</a> 등이 유명하다. 또한 <a href="/wiki/%EC%8C%8D%EB%91%A5%EC%9D%B4_%EC%86%8C%EC%88%98_%EC%B6%94%EC%B8%A1" title="쌍둥이 소수 추측">쌍둥이 소수 추측</a>과 <a href="/wiki/%EA%B3%A8%EB%93%9C%EB%B0%94%ED%9D%90_%EC%B6%94%EC%B8%A1" class="mw-redirect" title="골드바흐 추측">골드바흐 추측</a> 등을 비롯해 오랜 세월 동안 해결되지 않고 남아있는 문제들도 여럿 있다. </p><p>수의 체계가 보다 발전하면서, 정수의 집합을 <a href="/wiki/%EC%9C%A0%EB%A6%AC%EC%88%98" title="유리수">유리수</a>의 집합의 <a href="/wiki/%EB%B6%80%EB%B6%84%EC%A7%91%ED%95%A9" title="부분집합">부분집합</a>으로 여기게 되었다. 또한 유리수의 집합은 <a href="/wiki/%EC%8B%A4%EC%88%98" title="실수">실수</a>의 집합의 부분집합이며, 이는 또다시 <a href="/wiki/%EB%B3%B5%EC%86%8C%EC%88%98" title="복소수">복소수</a> 집합의 일부분으로 볼 수 있다. 여기에서 더 나아가면 <a href="/wiki/%EC%82%AC%EC%9B%90%EC%88%98" title="사원수">사원수</a>와 <a href="/wiki/%ED%8C%94%EC%9B%90%EC%88%98" title="팔원수">팔원수</a> 등의 개념을 생각할 수도 있다. 이와는 약간 다른 방향으로, 자연수를 무한대까지 세어나간다는 개념을 형식화하여 <a href="/wiki/%EC%88%9C%EC%84%9C%EC%88%98" title="순서수">순서수</a>의 개념을 얻으며, 집합의 크기 비교를 이용하여 무한대를 다루기 위한 또다른 방법으로는 <a href="/wiki/%EA%B8%B0%EC%88%98_(%EC%88%98%ED%95%99)" title="기수 (수학)">기수</a>의 개념도 있다. </p> <div class="mw-heading mw-heading3"><h3 id="대수학"><span id=".EB.8C.80.EC.88.98.ED.95.99"></span>대수학</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=4" title="부분 편집: 대수학"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r34311305"><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/18px-Icons8_flat_search.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/27px-Icons8_flat_search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/36px-Icons8_flat_search.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> 이 부분의 본문은 <a href="/wiki/%EB%8C%80%EC%88%98%ED%95%99" title="대수학">대수학</a>입니다.</div> <p>수 대신 문자를 써서 문제해결을 쉽게 하는 것과, 마찬가지로 수학적 법칙을 일반적이고 간명하게 나타내는 것을 포함한다. 고전대수학은 대수방정식 및 연립방정식의 해법에서 시작하여 군, 환, 체 등의 추상대수학을 거쳐 현대에 와서는 대수계의 구조를 보는 것을 중심으로 하는 선형대수학으로 전개되었다. 수의 집합이나 함수와 같은 많은 수학적 대상들은 내재적인 구조를 보인다. 이러한 대상들의 구조적 특성들이 <a href="/wiki/%EA%B5%B0%EB%A1%A0" title="군론">군론</a>, <a href="/wiki/%ED%99%98%EB%A1%A0" title="환론">환론</a>, <a href="/wiki/%EC%B2%B4%EB%A1%A0" class="mw-redirect" title="체론">체론</a> 그리고 그 외의 수많은 대수적 구조들을 연구하면서 다루어지며, 그것들 하나하나가 내재적 구조를 지닌 수학적 대상이다. 이 분야에서 중요한 개념은 벡터, <a href="/wiki/%EB%B2%A1%ED%84%B0_%EA%B3%B5%EA%B0%84" title="벡터 공간">벡터 공간</a>으로의 일반화, 그리고 <a href="/wiki/%EC%84%A0%ED%98%95%EB%8C%80%EC%88%98%ED%95%99" title="선형대수학">선형대수학</a>에서의 지식들이다. 벡터의 연구에는 <a href="/wiki/%EC%82%B0%EC%88%A0" title="산술">산술</a>, <a href="/wiki/%EB%8C%80%EC%88%98%ED%95%99" title="대수학">대수</a>, <a href="/wiki/%EA%B8%B0%ED%95%98" class="mw-redirect" title="기하">기하</a>라는 수학의 중요한 세개의 분야가 조합되어 있다. <a href="/wiki/%EB%B2%A1%ED%84%B0_%EB%AF%B8%EC%A0%81%EB%B6%84%ED%95%99" title="벡터 미적분학">벡터 미적분학</a>은 여기에 해석학의 영역이 추가된다. 텐서 미적분학은 대칭성과 회전축의 영향 아래에서 벡터의 움직임을 연구한다. 눈금없는 자와 컴퍼스와 관련된 많은 고대의 미해결 문제들이 <a href="/wiki/%EA%B0%88%EB%A3%A8%EC%95%84_%EC%9D%B4%EB%A1%A0" title="갈루아 이론">갈루아 이론</a>을 사용하여 비로소 해결되었다. </p> <ul class="gallery mw-gallery-packed"> <li class="gallerybox" style="width: 117.33333333333px"> <div class="thumb" style="width: 115.33333333333px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Rubik%27s_cube.svg" class="mw-file-description" title="군론"><img alt="군론" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/173px-Rubik%27s_cube.svg.png" decoding="async" width="116" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/259px-Rubik%27s_cube.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Rubik%27s_cube.svg/346px-Rubik%27s_cube.svg.png 2x" data-file-width="480" data-file-height="500" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EA%B5%B0%EB%A1%A0" title="군론">군론</a></div> </li> <li class="gallerybox" style="width: 110px"> <div class="thumb" style="width: 108px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Elliptic_curve_simple.svg" class="mw-file-description" title="수론"><img alt="수론" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Elliptic_curve_simple.svg/162px-Elliptic_curve_simple.svg.png" decoding="async" width="108" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Elliptic_curve_simple.svg/243px-Elliptic_curve_simple.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/da/Elliptic_curve_simple.svg/324px-Elliptic_curve_simple.svg.png 2x" data-file-width="225" data-file-height="250" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%88%98%EB%A1%A0" title="수론">수론</a></div> </li> <li class="gallerybox" style="width: 122px"> <div class="thumb" style="width: 120px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Group_diagram_d6.svg" class="mw-file-description" title="그래프 이론"><img alt="그래프 이론" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Group_diagram_d6.svg/180px-Group_diagram_d6.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Group_diagram_d6.svg/270px-Group_diagram_d6.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0a/Group_diagram_d6.svg/360px-Group_diagram_d6.svg.png 2x" data-file-width="300" data-file-height="300" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EA%B7%B8%EB%9E%98%ED%94%84_%EC%9D%B4%EB%A1%A0" title="그래프 이론">그래프 이론</a></div> </li> <li class="gallerybox" style="width: 152px"> <div class="thumb" style="width: 150px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Lattice_of_the_divisibility_of_60.svg" class="mw-file-description" title="순서론"><img alt="순서론" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/225px-Lattice_of_the_divisibility_of_60.svg.png" decoding="async" width="150" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/338px-Lattice_of_the_divisibility_of_60.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/51/Lattice_of_the_divisibility_of_60.svg/451px-Lattice_of_the_divisibility_of_60.svg.png 2x" data-file-width="313" data-file-height="250" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%88%9C%EC%84%9C%EB%A1%A0" title="순서론">순서론</a></div> </li> </ul> <div class="mw-heading mw-heading3"><h3 id="기하학"><span id=".EA.B8.B0.ED.95.98.ED.95.99"></span>기하학</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=5" title="부분 편집: 기하학"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r34311305"><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/18px-Icons8_flat_search.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/27px-Icons8_flat_search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/36px-Icons8_flat_search.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> 이 부분의 본문은 <a href="/wiki/%EA%B8%B0%ED%95%98%ED%95%99" title="기하학">기하학</a>입니다.</div> <p>공간에 대한 연구는 <a href="/wiki/%EA%B8%B0%ED%95%98%ED%95%99" title="기하학">기하학</a>에서 시작되었고, 특히 <a href="/wiki/%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C_%EA%B8%B0%ED%95%98%ED%95%99" title="유클리드 기하학">유클리드 기하학</a>에서 비롯되었다. <a href="/wiki/%EC%82%BC%EA%B0%81%EB%B2%95" title="삼각법">삼각법</a>은 공간과 수들을 결합하였고, 잘 알려진 <a href="/wiki/%ED%94%BC%ED%83%80%EA%B3%A0%EB%9D%BC%EC%8A%A4%EC%9D%98_%EC%A0%95%EB%A6%AC" class="mw-redirect" title="피타고라스의 정리">피타고라스의 정리</a>를 포함한다. 현대에 와서 공간에 대한 연구는, 이러한 개념들은 더 높은 차원의 기하학을 다루기 위해 <a href="/wiki/%EB%B9%84%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C_%EA%B8%B0%ED%95%98%ED%95%99" title="비유클리드 기하학">비유클리드 기하학</a>(상대성이론에서 핵심적인 역할을 함)과 <a href="/wiki/%EC%9C%84%EC%83%81%EC%88%98%ED%95%99" title="위상수학">위상수학</a>으로 일반화되었다. 수론과 공간에 대한 이해는 모두 해석 기하학, <a href="/wiki/%EB%AF%B8%EB%B6%84%EA%B8%B0%ED%95%98%ED%95%99" title="미분기하학">미분기하학</a>, <a href="/wiki/%EB%8C%80%EC%88%98%EA%B8%B0%ED%95%98%ED%95%99" title="대수기하학">대수기하학</a>에 중요한 역할을 한다. <a href="/wiki/%EB%A6%AC_%EA%B5%B0" title="리 군">리 군</a>도 공간과 구조, 변화를 다루는데 사용된다. 위상수학은 20세기 수학의 다양한 지류속에서 괄목할만한 성장을 한 분야이며, <a href="/wiki/%ED%91%B8%EC%95%B5%EC%B9%B4%EB%A0%88_%EC%B6%94%EC%B8%A1" title="푸앵카레 추측">푸앵카레 추측</a>과 인간에 의해서 증명되지 못하고 오직 컴퓨터로만 증명된 <a href="/wiki/4%EC%83%89%EC%A0%95%EB%A6%AC" class="mw-redirect" title="4색정리">4색정리</a>를 포함한다. </p> <ul class="gallery mw-gallery-packed"> <li class="gallerybox" style="width: 216.66666666667px"> <div class="thumb" style="width: 214.66666666667px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Torus.jpg" class="mw-file-description" title="위상수학"><img alt="위상수학" src="//upload.wikimedia.org/wikipedia/commons/8/80/Torus.jpg" decoding="async" width="215" height="120" class="mw-file-element" data-file-width="300" data-file-height="168" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%9C%84%EC%83%81%EC%88%98%ED%95%99" title="위상수학">위상수학</a></div> </li> <li class="gallerybox" style="width: 134px"> <div class="thumb" style="width: 132px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Pythagorean.svg" class="mw-file-description" title="삼각법"><img alt="삼각법" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Pythagorean.svg/198px-Pythagorean.svg.png" decoding="async" width="132" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Pythagorean.svg/297px-Pythagorean.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d2/Pythagorean.svg/396px-Pythagorean.svg.png 2x" data-file-width="512" data-file-height="466" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%82%BC%EA%B0%81%EB%B2%95" title="삼각법">삼각법</a></div> </li> <li class="gallerybox" style="width: 176px"> <div class="thumb" style="width: 174px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Hyperbolic_triangle.svg" class="mw-file-description" title="미분기하학"><img alt="미분기하학" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/89/Hyperbolic_triangle.svg/261px-Hyperbolic_triangle.svg.png" decoding="async" width="174" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/89/Hyperbolic_triangle.svg/391px-Hyperbolic_triangle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/89/Hyperbolic_triangle.svg/521px-Hyperbolic_triangle.svg.png 2x" data-file-width="809" data-file-height="559" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EB%AF%B8%EB%B6%84%EA%B8%B0%ED%95%98%ED%95%99" title="미분기하학">미분기하학</a></div> </li> <li class="gallerybox" style="width: 416px"> <div class="thumb" style="width: 414px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Koch_curve.svg" class="mw-file-description" title="프랙털 기하학"><img alt="프랙털 기하학" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5d/Koch_curve.svg/621px-Koch_curve.svg.png" decoding="async" width="414" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5d/Koch_curve.svg/932px-Koch_curve.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5d/Koch_curve.svg/1242px-Koch_curve.svg.png 2x" data-file-width="621" data-file-height="180" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%ED%94%84%EB%9E%99%ED%84%B8_%EA%B8%B0%ED%95%98%ED%95%99" class="mw-redirect" title="프랙털 기하학">프랙털 기하학</a></div> </li> </ul> <div class="mw-heading mw-heading3"><h3 id="해석학"><span id=".ED.95.B4.EC.84.9D.ED.95.99"></span>해석학</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=6" title="부분 편집: 해석학"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r34311305"><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/18px-Icons8_flat_search.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/27px-Icons8_flat_search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/36px-Icons8_flat_search.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> 이 부분의 본문은 <a href="/wiki/%ED%95%B4%EC%84%9D%ED%95%99_(%EC%88%98%ED%95%99)" title="해석학 (수학)">해석학 (수학)</a>입니다.</div> <p>변화에 대한 이해와 묘사는 <a href="/wiki/%EC%9E%90%EC%97%B0%EA%B3%BC%ED%95%99" title="자연과학">자연과학</a>에 있어서 일반적인 주제이며, <a href="/wiki/%EB%AF%B8%EC%A0%81%EB%B6%84%ED%95%99" title="미적분학">미적분학</a>은 변화를 탐구하는 강력한 도구로서 발전되었다. <a href="/wiki/%ED%95%A8%EC%88%98" title="함수">함수</a>는 변화하는 양을 묘사함에 있어서 중추적인 개념으로써 떠오르게 된다. 실수와 실변수로 구성된 함수의 엄밀한 탐구가 <a href="/wiki/%EC%8B%A4%ED%95%B4%EC%84%9D%ED%95%99" title="실해석학">실해석학</a>이라는 분야로 알려지게 되었고, <a href="/wiki/%EB%B3%B5%EC%86%8C%EC%88%98" title="복소수">복소수</a>에 대한 이와 같은 탐구 분야는 <a href="/wiki/%EB%B3%B5%EC%86%8C%ED%95%B4%EC%84%9D%ED%95%99" title="복소해석학">복소해석학</a>이라고 한다. <a href="/wiki/%ED%95%A8%EC%88%98%ED%95%B4%EC%84%9D%ED%95%99" title="함수해석학">함수해석학</a>은 함수의 공간(특히 무한차원)의 탐구에 주목한다. 함수해석학의 많은 응용분야 중 하나가 <a href="/wiki/%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99" title="양자역학">양자역학</a>이다. 많은 문제들이 자연스럽게 양과 그 양의 변화율의 관계로 귀착되고, 이러한 문제들이 <a href="/wiki/%EB%AF%B8%EB%B6%84%EB%B0%A9%EC%A0%95%EC%8B%9D" title="미분방정식">미분방정식</a>으로 다루어진다. 자연의 많은 현상들이 동역학계로 기술될 수 있다. <a href="/wiki/%ED%98%BC%EB%8F%88_%EC%9D%B4%EB%A1%A0" title="혼돈 이론">혼돈 이론</a>은 이러한 예측 불가능한 현상을 탐구하는 데 상당한 기여를 한다. </p> <ul class="gallery mw-gallery-packed"> <li class="gallerybox" style="width: 130.66666666667px"> <div class="thumb" style="width: 128.66666666667px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Integral_as_region_under_curve.svg" class="mw-file-description" title="미적분학"><img alt="미적분학" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Integral_as_region_under_curve.svg/193px-Integral_as_region_under_curve.svg.png" decoding="async" width="129" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Integral_as_region_under_curve.svg/289px-Integral_as_region_under_curve.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f2/Integral_as_region_under_curve.svg/386px-Integral_as_region_under_curve.svg.png 2x" data-file-width="750" data-file-height="700" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EB%AF%B8%EC%A0%81%EB%B6%84%ED%95%99" title="미적분학">미적분학</a></div> </li> <li class="gallerybox" style="width: 122px"> <div class="thumb" style="width: 120px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Vector_field.svg" class="mw-file-description" title="벡터 미적분학"><img alt="벡터 미적분학" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Vector_field.svg/180px-Vector_field.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Vector_field.svg/270px-Vector_field.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Vector_field.svg/360px-Vector_field.svg.png 2x" data-file-width="394" data-file-height="394" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EB%B2%A1%ED%84%B0_%EB%AF%B8%EC%A0%81%EB%B6%84%ED%95%99" title="벡터 미적분학">벡터 미적분학</a></div> </li> <li class="gallerybox" style="width: 170px"> <div class="thumb" style="width: 168px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Airflow-Obstructed-Duct.png" class="mw-file-description" title="미분방정식"><img alt="미분방정식" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Airflow-Obstructed-Duct.png/252px-Airflow-Obstructed-Duct.png" decoding="async" width="168" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/Airflow-Obstructed-Duct.png/378px-Airflow-Obstructed-Duct.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/17/Airflow-Obstructed-Duct.png/504px-Airflow-Obstructed-Duct.png 2x" data-file-width="1270" data-file-height="907" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EB%AF%B8%EB%B6%84%EB%B0%A9%EC%A0%95%EC%8B%9D" title="미분방정식">미분방정식</a></div> </li> <li class="gallerybox" style="width: 162px"> <div class="thumb" style="width: 160px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Limitcycle.jpg" class="mw-file-description" title="동역학계"><img alt="동역학계" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Limitcycle.jpg/240px-Limitcycle.jpg" decoding="async" width="160" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Limitcycle.jpg/360px-Limitcycle.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/a/a1/Limitcycle.jpg 2x" data-file-width="400" data-file-height="300" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EB%8F%99%EC%97%AD%ED%95%99%EA%B3%84" title="동역학계">동역학계</a></div> </li> <li class="gallerybox" style="width: 122px"> <div class="thumb" style="width: 120px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Lorenz_attractor.svg" class="mw-file-description" title="혼돈 이론"><img alt="혼돈 이론" src="//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Lorenz_attractor.svg/180px-Lorenz_attractor.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Lorenz_attractor.svg/270px-Lorenz_attractor.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/f4/Lorenz_attractor.svg/360px-Lorenz_attractor.svg.png 2x" data-file-width="750" data-file-height="750" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%ED%98%BC%EB%8F%88_%EC%9D%B4%EB%A1%A0" title="혼돈 이론">혼돈 이론</a></div> </li> </ul> <div class="mw-heading mw-heading3"><h3 id="수학기초론_관련_분야"><span id=".EC.88.98.ED.95.99.EA.B8.B0.EC.B4.88.EB.A1.A0_.EA.B4.80.EB.A0.A8_.EB.B6.84.EC.95.BC"></span>수학기초론 관련 분야</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=7" title="부분 편집: 수학기초론 관련 분야"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r34311305"><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/18px-Icons8_flat_search.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/27px-Icons8_flat_search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/36px-Icons8_flat_search.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> <a href="/wiki/%EC%88%98%ED%95%99%EA%B8%B0%EC%B4%88%EB%A1%A0" title="수학기초론">수학기초론</a> 문서를 참고하십시오.</div> <p>수학의 기초를 확실히 세우기 위해, 수리논리학과 집합론이 발전하였고, 이와 더불어 범주론이 최근에도 발전되고 있다. “근본 위기”라는 말은 대략 1900년에서 1930년 사이에 일어난, 수학의 엄밀한 기초에 대한 탐구를 상징적으로 보여주는 말이다. 수학의 엄밀한 기초에 대한 몇 가지 의견 불일치는 오늘날에도 계속되고 있다. 수학의 기초에 대한 위기는 그 당시 수많은 논쟁에 의해 촉발되었으며, 그 논쟁에는 칸토어의 집합론과 브라우어-힐베르트 논쟁이 포함되었다. </p> <ul class="gallery mw-gallery-packed"> <li class="gallerybox" style="width: 170px"> <div class="thumb" style="width: 168px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Venn_A_intersect_B.svg" class="mw-file-description" title="집합론"><img alt="집합론" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/252px-Venn_A_intersect_B.svg.png" decoding="async" width="168" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/378px-Venn_A_intersect_B.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/504px-Venn_A_intersect_B.svg.png 2x" data-file-width="350" data-file-height="250" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%A7%91%ED%95%A9%EB%A1%A0" title="집합론">집합론</a></div> </li> <li class="gallerybox" style="width: 122px"> <div class="thumb" style="width: 120px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Commutative_diagram_for_morphism.svg" class="mw-file-description" title="범주론"><img alt="범주론" src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Commutative_diagram_for_morphism.svg/180px-Commutative_diagram_for_morphism.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Commutative_diagram_for_morphism.svg/270px-Commutative_diagram_for_morphism.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ef/Commutative_diagram_for_morphism.svg/360px-Commutative_diagram_for_morphism.svg.png 2x" data-file-width="100" data-file-height="100" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EB%B2%94%EC%A3%BC%EB%A1%A0" title="범주론">범주론</a></div> </li> <li class="gallerybox" style="width: 316px"> <div class="thumb" style="width: 314px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Modus_ponens.png" class="mw-file-description" title="수리논리학"><img alt="수리논리학" src="//upload.wikimedia.org/wikipedia/commons/a/af/Modus_ponens.png" decoding="async" width="314" height="120" class="mw-file-element" data-file-width="230" data-file-height="88" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%88%98%EB%A6%AC%EB%85%BC%EB%A6%AC%ED%95%99" class="mw-redirect" title="수리논리학">수리논리학</a></div> </li> </ul> <div class="mw-heading mw-heading3"><h3 id="이산수학"><span id=".EC.9D.B4.EC.82.B0.EC.88.98.ED.95.99"></span>이산수학</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=8" title="부분 편집: 이산수학"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r34311305"><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/18px-Icons8_flat_search.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/27px-Icons8_flat_search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/36px-Icons8_flat_search.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> 이 부분의 본문은 <a href="/wiki/%EC%9D%B4%EC%82%B0%EC%88%98%ED%95%99" title="이산수학">이산수학</a>입니다.</div> <ul class="gallery mw-gallery-packed"> <li class="gallerybox" style="width: 122px"> <div class="thumb" style="width: 120px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Wheel_diagram_Heap%27s_algorithm.svg" class="mw-file-description" title="조합론"><img alt="조합론" src="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Wheel_diagram_Heap%27s_algorithm.svg/180px-Wheel_diagram_Heap%27s_algorithm.svg.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/da/Wheel_diagram_Heap%27s_algorithm.svg/270px-Wheel_diagram_Heap%27s_algorithm.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/da/Wheel_diagram_Heap%27s_algorithm.svg/360px-Wheel_diagram_Heap%27s_algorithm.svg.png 2x" data-file-width="250" data-file-height="250" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%A1%B0%ED%95%A9%EB%A1%A0" title="조합론">조합론</a></div> </li> <li class="gallerybox" style="width: 202.66666666667px"> <div class="thumb" style="width: 200.66666666667px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:DFAexample.svg" class="mw-file-description" title="계산 이론"><img alt="계산 이론" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9d/DFAexample.svg/301px-DFAexample.svg.png" decoding="async" width="201" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9d/DFAexample.svg/452px-DFAexample.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9d/DFAexample.svg/602px-DFAexample.svg.png 2x" data-file-width="500" data-file-height="299" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EA%B3%84%EC%82%B0_%EC%9D%B4%EB%A1%A0" title="계산 이론">계산 이론</a></div> </li> <li class="gallerybox" style="width: 286.66666666667px"> <div class="thumb" style="width: 284.66666666667px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Caesar3.svg" class="mw-file-description" title="암호학"><img alt="암호학" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Caesar3.svg/427px-Caesar3.svg.png" decoding="async" width="285" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Caesar3.svg/641px-Caesar3.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/2/2b/Caesar3.svg/854px-Caesar3.svg.png 2x" data-file-width="856" data-file-height="361" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%95%94%ED%98%B8%ED%95%99" title="암호학">암호학</a></div> </li> <li class="gallerybox" style="width: 184px"> <div class="thumb" style="width: 182px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:6n-graf.svg" class="mw-file-description" title="그래프 이론"><img alt="그래프 이론" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/5b/6n-graf.svg/273px-6n-graf.svg.png" decoding="async" width="182" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/5b/6n-graf.svg/409px-6n-graf.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/5b/6n-graf.svg/545px-6n-graf.svg.png 2x" data-file-width="333" data-file-height="220" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EA%B7%B8%EB%9E%98%ED%94%84_%EC%9D%B4%EB%A1%A0" title="그래프 이론">그래프 이론</a></div> </li> </ul> <div class="mw-heading mw-heading3"><h3 id="응용수학"><span id=".EC.9D.91.EC.9A.A9.EC.88.98.ED.95.99"></span>응용수학</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=9" title="부분 편집: 응용수학"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r34311305"><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/18px-Icons8_flat_search.svg.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/27px-Icons8_flat_search.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/52/Icons8_flat_search.svg/36px-Icons8_flat_search.svg.png 2x" data-file-width="512" data-file-height="512" /></span></span> 이 부분의 본문은 <a href="/wiki/%EC%9D%91%EC%9A%A9%EC%88%98%ED%95%99" title="응용수학">응용수학</a>입니다.</div> <ul class="gallery mw-gallery-packed"> <li class="gallerybox" style="width: 182px"> <div class="thumb" style="width: 180px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Gravitation_space_source.png" class="mw-file-description" title="수리물리학"><img alt="수리물리학" src="//upload.wikimedia.org/wikipedia/commons/thumb/2/26/Gravitation_space_source.png/270px-Gravitation_space_source.png" decoding="async" width="180" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/2/26/Gravitation_space_source.png 1.5x" data-file-width="300" data-file-height="200" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%88%98%EB%A6%AC%EB%AC%BC%EB%A6%AC%ED%95%99" title="수리물리학">수리물리학</a></div> </li> <li class="gallerybox" style="width: 258.66666666667px"> <div class="thumb" style="width: 256.66666666667px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:BernoullisLawDerivationDiagram.png" class="mw-file-description" title="유체역학"><img alt="유체역학" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a8/BernoullisLawDerivationDiagram.png/385px-BernoullisLawDerivationDiagram.png" decoding="async" width="257" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a8/BernoullisLawDerivationDiagram.png/577px-BernoullisLawDerivationDiagram.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a8/BernoullisLawDerivationDiagram.png/769px-BernoullisLawDerivationDiagram.png 2x" data-file-width="790" data-file-height="370" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%9C%A0%EC%B2%B4%EC%97%AD%ED%95%99" title="유체역학">유체역학</a></div> </li> <li class="gallerybox" style="width: 182.66666666667px"> <div class="thumb" style="width: 180.66666666667px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Composite_trapezoidal_rule_illustration_small.png" class="mw-file-description" title="수치해석학"><img alt="수치해석학" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Composite_trapezoidal_rule_illustration_small.png/271px-Composite_trapezoidal_rule_illustration_small.png" decoding="async" width="181" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Composite_trapezoidal_rule_illustration_small.png/406px-Composite_trapezoidal_rule_illustration_small.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4b/Composite_trapezoidal_rule_illustration_small.png/541px-Composite_trapezoidal_rule_illustration_small.png 2x" data-file-width="2407" data-file-height="1603" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%88%98%EC%B9%98%ED%95%B4%EC%84%9D%ED%95%99" title="수치해석학">수치해석학</a></div> </li> <li class="gallerybox" style="width: 129.33333333333px"> <div class="thumb" style="width: 127.33333333333px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Maximum_boxed.png" class="mw-file-description" title="최적화 이론"><img alt="최적화 이론" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Maximum_boxed.png/191px-Maximum_boxed.png" decoding="async" width="128" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Maximum_boxed.png/286px-Maximum_boxed.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Maximum_boxed.png/381px-Maximum_boxed.png 2x" data-file-width="634" data-file-height="599" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%88%98%ED%95%99%EC%A0%81_%EC%B5%9C%EC%A0%81%ED%99%94" title="수학적 최적화">최적화 이론</a></div> </li> <li class="gallerybox" style="width: 189.33333333333px"> <div class="thumb" style="width: 187.33333333333px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Two_red_dice_01.svg" class="mw-file-description" title="확률론"><img alt="확률론" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Two_red_dice_01.svg/281px-Two_red_dice_01.svg.png" decoding="async" width="188" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/3/36/Two_red_dice_01.svg/422px-Two_red_dice_01.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/3/36/Two_red_dice_01.svg/562px-Two_red_dice_01.svg.png 2x" data-file-width="671" data-file-height="430" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%ED%99%95%EB%A5%A0%EB%A1%A0" title="확률론">확률론</a></div> </li> <li class="gallerybox" style="width: 122px"> <div class="thumb" style="width: 120px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Oldfaithful3.png" class="mw-file-description" title="통계학"><img alt="통계학" src="//upload.wikimedia.org/wikipedia/commons/thumb/0/0f/Oldfaithful3.png/180px-Oldfaithful3.png" decoding="async" width="120" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/0f/Oldfaithful3.png/271px-Oldfaithful3.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/0f/Oldfaithful3.png/361px-Oldfaithful3.png 2x" data-file-width="401" data-file-height="400" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%ED%86%B5%EA%B3%84%ED%95%99" title="통계학">통계학</a></div> </li> <li class="gallerybox" style="width: 182px"> <div class="thumb" style="width: 180px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Market_Data_Index_NYA_on_20050726_202628_UTC.png" class="mw-file-description" title="금융수학"><img alt="금융수학" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/Market_Data_Index_NYA_on_20050726_202628_UTC.png/270px-Market_Data_Index_NYA_on_20050726_202628_UTC.png" decoding="async" width="180" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/46/Market_Data_Index_NYA_on_20050726_202628_UTC.png/405px-Market_Data_Index_NYA_on_20050726_202628_UTC.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/46/Market_Data_Index_NYA_on_20050726_202628_UTC.png/540px-Market_Data_Index_NYA_on_20050726_202628_UTC.png 2x" data-file-width="600" data-file-height="400" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EC%88%98%EB%A6%AC%EA%B8%88%EC%9C%B5%ED%95%99" title="수리금융학">금융수학</a></div> </li> <li class="gallerybox" style="width: 170px"> <div class="thumb" style="width: 168px;"><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Arbitrary-gametree-solved.png" class="mw-file-description" title="게임 이론"><img alt="게임 이론" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Arbitrary-gametree-solved.png/252px-Arbitrary-gametree-solved.png" decoding="async" width="168" height="120" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/43/Arbitrary-gametree-solved.png/378px-Arbitrary-gametree-solved.png 1.5x, //upload.wikimedia.org/wikipedia/commons/4/43/Arbitrary-gametree-solved.png 2x" data-file-width="400" data-file-height="286" /></a></span></div> <div class="gallerytext"> <a href="/wiki/%EA%B2%8C%EC%9E%84_%EC%9D%B4%EB%A1%A0" title="게임 이론">게임 이론</a></div> </li> </ul> <div class="mw-heading mw-heading2"><h2 id="영향"><span id=".EC.98.81.ED.96.A5"></span>영향</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=10" title="부분 편집: 영향"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>오늘날 수학은 <a href="/wiki/%EC%9E%90%EC%97%B0%EA%B3%BC%ED%95%99" title="자연과학">자연과학</a>, <a href="/wiki/%EA%B3%B5%ED%95%99" title="공학">공학</a>뿐만 아니라, <a href="/wiki/%EA%B2%BD%EC%A0%9C%ED%95%99" title="경제학">경제학</a> 등의 <a href="/wiki/%EC%82%AC%ED%9A%8C%EA%B3%BC%ED%95%99" title="사회과학">사회과학</a>에서도 중요한 도구로 사용된다. 예를 들어, 정도의 차이는 있으나, <a href="/wiki/%EB%AF%B8%EC%A0%81%EB%B6%84%ED%95%99" title="미적분학">미적분학</a>과 <a href="/wiki/%EC%84%A0%ED%98%95%EB%8C%80%EC%88%98%ED%95%99" title="선형대수학">선형대수학</a>은 <a href="/wiki/%EC%9E%90%EC%97%B0%EA%B3%BC%ED%95%99" title="자연과학">자연과학</a>과 <a href="/wiki/%EA%B3%B5%ED%95%99" title="공학">공학</a>, <a href="/wiki/%EA%B2%BD%EC%A0%9C%ED%95%99" title="경제학">경제학</a>을 하는데에 필수적 과목으로 여겨지며, <a href="/wiki/%ED%99%95%EB%A5%A0%EB%A1%A0" title="확률론">확률론</a>은 <a href="/wiki/%EA%B3%84%EB%9F%89%EA%B2%BD%EC%A0%9C%ED%95%99" title="계량경제학">계량경제학</a>에 응용된다. <a href="/wiki/%ED%86%B5%EA%B3%84%ED%95%99" title="통계학">통계학</a>은 <a href="/wiki/%EC%82%AC%ED%9A%8C%EA%B3%BC%ED%95%99" title="사회과학">사회과학</a> 이론에 근거를 마련하는데 필수적이다. 16세기에 <a href="/wiki/%EA%B0%88%EB%A6%B4%EB%A0%88%EC%98%A4_%EA%B0%88%EB%A6%B4%EB%A0%88%EC%9D%B4" title="갈릴레오 갈릴레이">갈릴레오 갈릴레이</a>가 "자연이라는 책은 수학이라는 언어로 기록되어 있다."는 주장과 함께 물리학에 수학적 방법을 도입하였고, 17세기에 <a href="/wiki/%EC%95%84%EC%9D%B4%EC%9E%91_%EB%89%B4%ED%84%B4" title="아이작 뉴턴">아이작 뉴턴</a>이 <a href="/wiki/%EA%B3%A0%EC%A0%84_%EC%97%AD%ED%95%99" class="mw-redirect" title="고전 역학">고전 역학</a>의 기본 물리학 법칙들을 수학적으로 기술하고 정립하여 물리학 이론에서 수학적 <a href="/wiki/%EB%AA%A8%EB%8D%B8%EB%A7%81" class="mw-redirect mw-disambig" title="모델링">모델링</a>은 필수적 요소가 되었다. 또한 이 시기는 <a href="/wiki/%EA%B3%BC%ED%95%99%EC%A0%81_%EB%B0%A9%EB%B2%95" title="과학적 방법">과학적 방법</a>이 정립되는 시기이기도 한데, 많은 과학적 현상들이 수학적 관계가 있음이 드러나면서 <a href="/wiki/%EA%B3%BC%ED%95%99%EC%A0%81_%EB%B0%A9%EB%B2%95" title="과학적 방법">과학적 방법</a>에도 수학은 중요한 역할을 하고 있다. <a href="/wiki/%EB%85%B8%EB%B2%A8_%EB%AC%BC%EB%A6%AC%ED%95%99%EC%83%81" title="노벨 물리학상">노벨 물리학상</a> 수상자 <a href="/wiki/%EC%9C%A0%EC%A7%84_%EC%9C%84%EA%B7%B8%EB%84%88" title="유진 위그너">유진 위그너</a>는 그의 에세이 "The unreasonable effectiveness of mathematics in natural sciences"에서 인간 세상과 동떨어져있고 현실과 아무 관련이 없다고 여겨지던 수학 중 극히 일부는 뜻밖에도 자연과학과 연관성이 드러나고 과학이론에 효과적인 토대를 마련해 주는데에 대한 놀라움을 표현하였다.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> 예를 들어, <a href="/wiki/%EB%B9%84%EC%9C%A0%ED%81%B4%EB%A6%AC%EB%93%9C_%EA%B8%B0%ED%95%98%ED%95%99" title="비유클리드 기하학">비유클리드 기하학</a>과 3차원 이상의 임의의 차원에서 기하학을 탐구했던 <a href="/wiki/%EB%AF%B8%EB%B6%84_%EA%B8%B0%ED%95%98%ED%95%99" class="mw-redirect" title="미분 기하학">미분 기하학</a>은 당시에는 현실과 연관성을 가지지 않았으나 먼 훗날 <a href="/wiki/%EC%9D%BC%EB%B0%98%EC%83%81%EB%8C%80%EC%84%B1%EC%9D%B4%EB%A1%A0" class="mw-redirect" title="일반상대성이론">일반상대성이론</a>이 4차원 기하학을 필요로 함에 따라, 물리적 세상과 연관이 있음이 밝혀졌다. 또한 <a href="/wiki/%EA%B2%8C%EC%9D%B4%EC%A7%80%EC%9D%B4%EB%A1%A0" class="mw-redirect" title="게이지이론">게이지이론</a>, <a href="/wiki/%EC%96%91%EC%9E%90%EC%9E%A5%EB%A1%A0" title="양자장론">양자장론</a> 등에도 <a href="/wiki/%EB%AF%B8%EB%B6%84_%EA%B8%B0%ED%95%98%ED%95%99" class="mw-redirect" title="미분 기하학">미분 기하학</a>은 필수적이다. </p><p>또한 수학은 <a href="/wiki/%EC%9D%8C%EC%95%85" title="음악">음악</a>이나 <a href="/wiki/%EB%AF%B8%EC%88%A0" title="미술">미술</a> 등 예술과도 관련이 있다. <a href="/wiki/%ED%94%BC%ED%83%80%EA%B3%A0%EB%9D%BC%EC%8A%A4" title="피타고라스">피타고라스</a>는 두 정수의 비율이 듣기 좋은 소리가 난다는 점을 가지고 <a href="/wiki/%ED%94%BC%ED%83%80%EA%B3%A0%EB%9D%BC%EC%8A%A4_%EC%9D%8C%EA%B3%84" class="mw-redirect" title="피타고라스 음계">피타고라스 음계</a>를 만들었다. 중세시대에도 음악과 수학을 밀접하게 연관시켰으며 성 빅토르의 후고는 “음악은 조화다”라고 했고, 성 트론드의 루돌프는 “음악은 조화의 토대(ratio)다”라고 쓴 바 있다. 조화가 반드시 소리로 표현될 필요는 없고 소리의 음악은 음악의 형식 중 하나에 불과했다. 소리에 대해 다루었던 중세의 저술가들이 있는가 하면, 조화와 비례의 추상적 이론만을 다루고 소리에는 거의 관심을 보이지 않았던 저술가들도 있었다. 청각적인 면과 추상적인 면이라는 음악의 이런 이중적 측면은 고대의 음악이론보다는 중세의 음악이론에서 큰 특징이 되었다.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> 또한 <a href="/wiki/%ED%98%84%EB%8C%80_%EC%9D%8C%EC%95%85" class="mw-redirect" title="현대 음악">현대 음악</a>을 군(群,group)같은 수학적 대상을 이용해 분석하기도 한다. <a href="/wiki/%EC%9B%90%EA%B7%BC%EB%B2%95" title="원근법">원근법</a>은 <a href="/wiki/%EC%82%AC%EC%98%81_%EA%B8%B0%ED%95%98%ED%95%99" class="mw-redirect" title="사영 기하학">사영 기하학</a>에 해당한다. 미술 사조 중 하나인 <a href="/wiki/%EC%9E%85%EC%B2%B4%ED%8C%8C" class="mw-redirect" title="입체파">입체파</a>도 기하학의 영향을 받았다. </p> <div class="mw-heading mw-heading2"><h2 id="같이_보기"><span id=".EA.B0.99.EC.9D.B4_.EB.B3.B4.EA.B8.B0"></span>같이 보기</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=11" title="부분 편집: 같이 보기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%EC%A0%95%EC%88%98%EB%A1%A0" class="mw-redirect" title="정수론">정수론</a></li> <li><a href="/wiki/%EA%B8%B0%ED%95%98%ED%95%99" title="기하학">기하학</a></li> <li><a href="/wiki/%EB%8C%80%EC%88%98%ED%95%99" title="대수학">대수학</a></li> <li><a href="/wiki/%ED%95%B4%EC%84%9D%ED%95%99_(%EC%88%98%ED%95%99)" title="해석학 (수학)">해석학</a></li> <li><a href="/wiki/%EC%82%B0%ED%95%99" title="산학">산학</a></li> <li><a href="/wiki/%EB%8C%80%ED%95%9C%EB%AF%BC%EA%B5%AD%EC%9D%98_%EA%B3%A0%EB%93%B1%ED%95%99%EA%B5%90_%EC%88%98%ED%95%99_%EA%B5%90%EA%B3%BC%EB%AA%A9" title="대한민국의 고등학교 수학 교과목">대한민국의 고등학교 수학 교과목</a></li> <li><a href="/wiki/%EC%9D%B4%EC%82%B0%EC%88%98%ED%95%99" title="이산수학">이산수학</a></li> <li><a href="/wiki/%EC%9D%91%EC%9A%A9%EC%88%98%ED%95%99" title="응용수학">응용수학</a></li> <li><a href="/wiki/%EC%88%98%ED%95%99%EC%9E%90" title="수학자">수학자</a></li> <li><a href="/wiki/%EA%B3%BC%ED%95%99_%EC%84%9D%EC%82%AC" title="과학 석사">과학 석사</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="각주"><span id=".EA.B0.81.EC.A3.BC"></span>각주</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=12" title="부분 편집: 각주"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r35556958">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-OED-1"><span class="mw-cite-backlink"><a href="#cite_ref-OED_1-0">↑</a></span> <span class="reference-text"><cite class="citation web"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20191116075558/https://www.oed.com/view/Entry/114974">“mathematics, <i>n.</i>”</a>. 《Oxford English Dictionary》. Oxford University Press. 2012. 2019년 11월 16일에 <a rel="nofollow" class="external text" href="http://oed.com/view/Entry/114974">원본 문서</a>에서 보존된 문서<span class="reference-accessdate">. 2012년 6월 16일에 확인함</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Oxford+English+Dictionary&rft.atitle=mathematics%2C+n.&rft.date=2012&rft_id=http%3A%2F%2Foed.com%2Fview%2FEntry%2F114974&rfr_id=info%3Asid%2Fko.wikipedia.org%3A%EC%88%98%ED%95%99" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-Mura-2"><span class="mw-cite-backlink"><a href="#cite_ref-Mura_2-0">↑</a></span> <span class="reference-text"><cite class="citation journal">Mura, Roberta (Dec 1993). “Images of Mathematics Held by University Teachers of Mathematical Sciences”. 《Educational Studies in Mathematics》 <b>25</b> (4): 375–85. <a href="/wiki/%EB%94%94%EC%A7%80%ED%84%B8_%EA%B0%9D%EC%B2%B4_%EC%8B%9D%EB%B3%84%EC%9E%90" title="디지털 객체 식별자">doi</a>:<a rel="nofollow" class="external text" href="https://dx.doi.org/10.1007%2FBF01273907">10.1007/BF01273907</a>. <a href="/wiki/%EA%B5%AD%EC%A0%9C_%ED%91%9C%EC%A4%80_%EC%9D%BC%EB%A0%A8_%EB%B2%88%ED%98%B8" class="mw-redirect" title="국제 표준 일련 번호">ISSN</a> <a rel="nofollow" class="external text" href="//www.worldcat.org/issn/0013-1954">0013-1954</a>. <a href="/wiki/JSTOR" title="JSTOR">JSTOR</a> <a rel="nofollow" class="external text" href="//www.jstor.org/stable/3482762">3482762</a>. <a href="/wiki/%EC%8B%9C%EB%A7%A8%ED%8B%B1_%EC%8A%A4%EC%B9%BC%EB%9D%BC" title="시맨틱 스칼라">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:122351146">122351146</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Educational+Studies+in+Mathematics&rft.atitle=Images+of+Mathematics+Held+by+University+Teachers+of+Mathematical+Sciences&rft.volume=25&rft.issue=4&rft.pages=375-85&rft.date=1993-12&rft.issn=0013-1954&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A122351146&rft_id=%2F%2Fwww.jstor.org%2Fstable%2F3482762&rft_id=info%3Adoi%2F10.1007%2FBF01273907&rft.au=Mura%2C+Roberta&rfr_id=info%3Asid%2Fko.wikipedia.org%3A%EC%88%98%ED%95%99" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-devlin-3"><span class="mw-cite-backlink"><a href="#cite_ref-devlin_3-0">↑</a></span> <span class="reference-text">Devlin, Keith, <i>Mathematics: The Science of Patterns: The Search for Order in Life, Mind and the Universe</i> (Scientific American Paperback Library) 1996, <style data-mw-deduplicate="TemplateStyles:r38117996">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><a href="/wiki/%EA%B5%AD%EC%A0%9C_%ED%91%9C%EC%A4%80_%EB%8F%84%EC%84%9C_%EB%B2%88%ED%98%B8" class="mw-redirect" title="국제 표준 도서 번호">ISBN</a> <a href="/wiki/%ED%8A%B9%EC%88%98:%EC%B1%85%EC%B0%BE%EA%B8%B0/978-0-7167-5047-5" title="특수:책찾기/978-0-7167-5047-5">978-0-7167-5047-5</a></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><a href="#cite_ref-4">↑</a></span> <span class="reference-text">Wigner, E. P. (1960). "The unreasonable effectiveness of mathematics in the natural sciences". Richard Courant lecture in mathematical sciences delivered at New York University, May 11, 1959. Communications on Pure and Applied Mathematics. 13: 1–14. Bibcode:1960CPAM...13....1W. doi:10.1002/cpa.3160130102</span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><a href="#cite_ref-5">↑</a></span> <span class="reference-text">타타르키비츠 미학사:중세미학, W.타타르키비츠 씀, 손효주 옮김, 미술문화 펴냄</span> </li> </ol></div></div> <style data-mw-deduplicate="TemplateStyles:r36480451">.mw-parser-output .refbegin{font-size:90%;margin-bottom:0.5em}.mw-parser-output .refbegin-hanging-indents>ul{margin-left:0}.mw-parser-output .refbegin-hanging-indents>ul>li{margin-left:0;padding-left:3.2em;text-indent:-3.2em}.mw-parser-output .refbegin-hanging-indents ul,.mw-parser-output .refbegin-hanging-indents ul li{list-style:none}@media(max-width:720px){.mw-parser-output .refbegin-hanging-indents>ul>li{padding-left:1.6em;text-indent:-1.6em}}.mw-parser-output .refbegin-columns{margin-top:0.3em}.mw-parser-output .refbegin-columns ul{margin-top:0}.mw-parser-output .refbegin-columns li{page-break-inside:avoid;break-inside:avoid-column}</style><div class="refbegin" style=""> <ul><li>Eves, Howard, <i>An Introduction to the History of Mathematics</i>, Sixth Edition, Saunders, 1990, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r38117996"><a href="/wiki/%EA%B5%AD%EC%A0%9C_%ED%91%9C%EC%A4%80_%EB%8F%84%EC%84%9C_%EB%B2%88%ED%98%B8" class="mw-redirect" title="국제 표준 도서 번호">ISBN</a> <a href="/wiki/%ED%8A%B9%EC%88%98:%EC%B1%85%EC%B0%BE%EA%B8%B0/0-03-029558-0" title="특수:책찾기/0-03-029558-0">0-03-029558-0</a>.</li> <li>Jourdain, Philip E. B., <i>The Nature of Mathematics</i>, in <i>The World of Mathematics</i>, James R. Newman, editor, Dover, 2003, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r38117996"><a href="/wiki/%EA%B5%AD%EC%A0%9C_%ED%91%9C%EC%A4%80_%EB%8F%84%EC%84%9C_%EB%B2%88%ED%98%B8" class="mw-redirect" title="국제 표준 도서 번호">ISBN</a> <a href="/wiki/%ED%8A%B9%EC%88%98:%EC%B1%85%EC%B0%BE%EA%B8%B0/0-486-43268-8" title="특수:책찾기/0-486-43268-8">0-486-43268-8</a>.</li> <li>Peterson, Ivars, <i>Mathematical Tourist, New and Updated Snapshots of Modern Mathematics</i>, Owl Books, 2001, <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r38117996"><a href="/wiki/%EA%B5%AD%EC%A0%9C_%ED%91%9C%EC%A4%80_%EB%8F%84%EC%84%9C_%EB%B2%88%ED%98%B8" class="mw-redirect" title="국제 표준 도서 번호">ISBN</a> <a href="/wiki/%ED%8A%B9%EC%88%98:%EC%B1%85%EC%B0%BE%EA%B8%B0/0-8050-7159-8" title="특수:책찾기/0-8050-7159-8">0-8050-7159-8</a>.</li></ul></div> <div class="mw-heading mw-heading2"><h2 id="외부_링크"><span id=".EC.99.B8.EB.B6.80_.EB.A7.81.ED.81.AC"></span>외부 링크</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EC%88%98%ED%95%99&action=edit&section=13" title="부분 편집: 외부 링크"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span typeof="mw:File"><span><img alt="" src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/12px-Commons-logo.svg.png" decoding="async" width="12" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/18px-Commons-logo.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4a/Commons-logo.svg/24px-Commons-logo.svg.png 2x" data-file-width="1024" data-file-height="1376" /></span></span> 위키미디어 공용에 <span class="plainlinks"><a class="external text" href="https://commons.wikimedia.org/wiki/Category:Mathematics?uselang=ko">수학</a></span> 관련 미디어 분류가 있습니다.</li> <li><span typeof="mw:File"><a href="/wiki/%ED%8C%8C%EC%9D%BC:Nuvola_apps_edu_mathematics-p.svg" class="mw-file-description"><img alt="Portal icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Nuvola_apps_edu_mathematics-p.svg/28px-Nuvola_apps_edu_mathematics-p.svg.png" decoding="async" width="28" height="28" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Nuvola_apps_edu_mathematics-p.svg/42px-Nuvola_apps_edu_mathematics-p.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/c2/Nuvola_apps_edu_mathematics-p.svg/56px-Nuvola_apps_edu_mathematics-p.svg.png 2x" data-file-width="128" data-file-height="128" /></a></span> <a href="/wiki/%ED%8F%AC%ED%84%B8:%EC%88%98%ED%95%99" title="포털:수학">수학 포털</a></li> <li><a rel="nofollow" class="external text" href="http://www.kms.or.kr">대한수학회(KMS)</a></li> <li><b><span style="color: #555; font-size: smaller;" title="언어: 영어">(영어)</span></b> <a rel="nofollow" class="external text" href="http://mathworld.wolfram.com">Mathworld</a></li> <li><b><span style="color: #555; font-size: smaller;" title="언어: 영어">(영어)</span></b> <a rel="nofollow" class="external text" href="http://www-history.mcs.st-and.ac.uk/">The MacTutor History of Mathematics archive</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r36480591">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": 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dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}.mw-parser-output .hlist-pipe dd:after,.mw-parser-output .hlist-pipe li:after{content:" | ";font-weight:normal}.mw-parser-output .hlist-hyphen dd:after,.mw-parser-output .hlist-hyphen li:after{content:" - ";font-weight:normal}.mw-parser-output .hlist-comma dd:after,.mw-parser-output .hlist-comma li:after{content:", ";font-weight:normal}.mw-parser-output .hlist-slash 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.navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}</style></div><div role="navigation" class="navbox" aria-labelledby="수학의_주요_분야" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><style data-mw-deduplicate="TemplateStyles:r34311309">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-보기"><a href="/wiki/%ED%8B%80:%EC%88%98%ED%95%99_%EB%B6%84%EC%95%BC" title="틀:수학 분야"><abbr title="이 틀을 보기" style=";;background:none transparent;border:none;box-shadow:none;padding:0;">v</abbr></a></li><li class="nv-토론"><a href="/wiki/%ED%8B%80%ED%86%A0%EB%A1%A0:%EC%88%98%ED%95%99_%EB%B6%84%EC%95%BC" title="틀토론:수학 분야"><abbr title="이 틀에 관해 토론하기" style=";;background:none transparent;border:none;box-shadow:none;padding:0;">t</abbr></a></li><li class="nv-편집"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%AC%B8%EC%84%9C%ED%8E%B8%EC%A7%91/%ED%8B%80:%EC%88%98%ED%95%99_%EB%B6%84%EC%95%BC" title="특수:문서편집/틀:수학 분야"><abbr title="이 틀을 편집하기" style=";;background:none transparent;border:none;box-shadow:none;padding:0;">e</abbr></a></li></ul></div><div id="수학의_주요_분야" style="font-size:114%;margin:0 4em"><a class="mw-selflink selflink">수학</a>의 주요 분야</div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%EC%88%98%EB%A1%A0" title="수론">수론</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EB%8C%80%EC%88%98%EC%A0%81_%EC%88%98%EB%A1%A0" title="대수적 수론">대수적 수론</a></li> <li><a href="/wiki/%ED%95%B4%EC%84%9D%EC%A0%81_%EC%88%98%EB%A1%A0" title="해석적 수론">해석적 수론</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%EB%8C%80%EC%88%98%ED%95%99" title="대수학">대수학</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EC%84%A0%ED%98%95%EB%8C%80%EC%88%98%ED%95%99" title="선형대수학">선형대수학</a></li> <li><a href="/wiki/%EC%B6%94%EC%83%81%EB%8C%80%EC%88%98%ED%95%99" title="추상대수학">추상대수학</a></li> <li><a href="/wiki/%EA%B5%B0%EB%A1%A0" title="군론">군론</a></li> <li><a href="/wiki/%ED%99%98%EB%A1%A0" title="환론">환론</a></li> <li><a href="/wiki/%EA%B0%80%ED%99%98%EB%8C%80%EC%88%98%ED%95%99" title="가환대수학">가환대수학</a></li> <li><a href="/wiki/%ED%98%B8%EB%AA%B0%EB%A1%9C%EC%A7%80_%EB%8C%80%EC%88%98%ED%95%99" title="호몰로지 대수학">호몰로지 대수학</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%ED%95%B4%EC%84%9D%ED%95%99_(%EC%88%98%ED%95%99)" title="해석학 (수학)">해석학</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EB%AF%B8%EC%A0%81%EB%B6%84%ED%95%99" title="미적분학">미적분학</a></li> <li><a href="/wiki/%EC%8B%A4%ED%95%B4%EC%84%9D%ED%95%99" title="실해석학">실해석학</a></li> <li><a href="/wiki/%EB%B3%B5%EC%86%8C%ED%95%B4%EC%84%9D%ED%95%99" title="복소해석학">복소해석학</a></li> <li><a href="/wiki/%EC%88%98%EC%B9%98%ED%95%B4%EC%84%9D%ED%95%99" title="수치해석학">수치해석학</a></li> <li><a href="/wiki/%EC%B8%A1%EB%8F%84%EB%A1%A0" class="mw-redirect" title="측도론">측도론</a></li> <li><a href="/wiki/%ED%95%A8%EC%88%98%ED%95%B4%EC%84%9D%ED%95%99" title="함수해석학">함수해석학</a></li> <li><a href="/wiki/%EC%A1%B0%ED%99%94%ED%95%B4%EC%84%9D%ED%95%99" title="조화해석학">조화해석학</a></li> <li><a href="/wiki/%EB%B9%84%ED%91%9C%EC%A4%80_%ED%95%B4%EC%84%9D%ED%95%99" title="비표준 해석학">비표준 해석학</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%EA%B8%B0%ED%95%98%ED%95%99" title="기하학">기하학</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EB%8C%80%EC%88%98%EA%B8%B0%ED%95%98%ED%95%99" title="대수기하학">대수기하학</a></li> <li><a href="/wiki/%EA%B3%84%EC%82%B0%EA%B8%B0%ED%95%98%ED%95%99" title="계산기하학">계산기하학</a></li> <li><a href="/wiki/%ED%95%B4%EC%84%9D%EA%B8%B0%ED%95%98%ED%95%99" title="해석기하학">해석기하학</a></li> <li><a href="/wiki/%EB%AF%B8%EB%B6%84%EA%B8%B0%ED%95%98%ED%95%99" title="미분기하학">미분기하학</a></li> <li><a href="/wiki/%EB%A6%AC%EB%A7%8C_%EA%B8%B0%ED%95%98%ED%95%99" title="리만 기하학">리만 기하학</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%EC%9C%84%EC%83%81%EC%88%98%ED%95%99" title="위상수학">위상수학</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EC%9D%BC%EB%B0%98%EC%9C%84%EC%83%81%EC%88%98%ED%95%99" title="일반위상수학">일반위상수학</a></li> <li><a href="/wiki/%EB%8C%80%EC%88%98%EC%A0%81_%EC%9C%84%EC%83%81%EC%88%98%ED%95%99" title="대수적 위상수학">대수적 위상수학</a></li> <li><a href="/wiki/%EB%AF%B8%EB%B6%84%EC%9C%84%EC%83%81%EC%88%98%ED%95%99" title="미분위상수학">미분위상수학</a></li> <li><a href="/wiki/%EB%A7%A4%EB%93%AD_%EC%9D%B4%EB%A1%A0" title="매듭 이론">매듭 이론</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%EC%88%98%ED%95%99%EA%B8%B0%EC%B4%88%EB%A1%A0" title="수학기초론">수학기초론</a></th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EC%88%98%EB%A6%AC%EB%85%BC%EB%A6%AC%ED%95%99" class="mw-redirect" title="수리논리학">수리논리학</a></li> <li><a href="/wiki/%EB%AA%A8%ED%98%95_%EC%9D%B4%EB%A1%A0" title="모형 이론">모형 이론</a></li> <li><a href="/wiki/%EC%A6%9D%EB%AA%85_%EC%9D%B4%EB%A1%A0" title="증명 이론">증명 이론</a></li> <li><a href="/wiki/%EA%B3%84%EC%82%B0_%EA%B0%80%EB%8A%A5%EC%84%B1_%EC%9D%B4%EB%A1%A0" title="계산 가능성 이론">계산 가능성 이론</a></li> <li><a href="/wiki/%EC%A7%91%ED%95%A9%EB%A1%A0" title="집합론">집합론</a></li> <li><a href="/wiki/%EB%B2%94%EC%A3%BC%EB%A1%A0" title="범주론">범주론</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/%EC%9D%B4%EC%82%B0%EC%88%98%ED%95%99" title="이산수학">이산수학</a></th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%EA%B3%84%EC%82%B0_%EC%9D%B4%EB%A1%A0" title="계산 이론">계산 이론</a></li> <li><a href="/wiki/%EA%B3%84%EC%82%B0_%EB%B3%B5%EC%9E%A1%EB%8F%84_%EC%9D%B4%EB%A1%A0" title="계산 복잡도 이론">계산 복잡도 이론</a></li> <li><a href="/wiki/%EC%95%94%ED%98%B8%ED%95%99" title="암호학">암호학</a></li> <li><a href="/wiki/%EC%A1%B0%ED%95%A9%EB%A1%A0" title="조합론">조합론</a></li> <li><a href="/wiki/%EA%B7%B8%EB%9E%98%ED%94%84_%EC%9D%B4%EB%A1%A0" title="그래프 이론">그래프 이론</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">확률과 통계</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/%ED%99%95%EB%A5%A0%EB%A1%A0" title="확률론">확률론</a></li> <li><a href="/wiki/%ED%86%B5%EA%B3%84%ED%95%99" title="통계학">통계학</a></li> <li><a href="/wiki/%ED%99%95%EB%A5%A0%EB%AF%B8%EC%A0%81%EB%B6%84%ED%95%99" title="확률미적분학">확률미적분학</a></li> <li><a href="/wiki/%EA%B2%8C%EC%9E%84_%EC%9D%B4%EB%A1%A0" title="게임 이론">게임 이론</a></li> <li><a href="/wiki/%EA%B2%B0%EC%A0%95%EC%9D%B4%EB%A1%A0" class="mw-redirect" title="결정이론">결정이론</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36429174"></div><div role="navigation" class="navbox authority-control" aria-labelledby="전거_통제_frameless&#124;text-top&#124;10px&#124;alt=위키데이터에서_편집하기&#124;link=https&#58;//www.wikidata.org/wiki/Q395#identifiers&#124;class=noprint&#124;위키데이터에서_편집하기" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="전거_통제_frameless&#124;text-top&#124;10px&#124;alt=위키데이터에서_편집하기&#124;link=https&#58;//www.wikidata.org/wiki/Q395#identifiers&#124;class=noprint&#124;위키데이터에서_편집하기" style="font-size:114%;margin:0 4em"><a href="/wiki/%EC%9C%84%ED%82%A4%EB%B0%B1%EA%B3%BC:%EC%A0%84%EA%B1%B0_%ED%86%B5%EC%A0%9C" title="위키백과:전거 통제">전거 통제</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q395#identifiers" title="위키데이터에서 편집하기"><img alt="위키데이터에서 편집하기" src="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/10px-OOjs_UI_icon_edit-ltr-progressive.svg.png" decoding="async" width="10" height="10" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/15px-OOjs_UI_icon_edit-ltr-progressive.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/8/8a/OOjs_UI_icon_edit-ltr-progressive.svg/20px-OOjs_UI_icon_edit-ltr-progressive.svg.png 2x" data-file-width="20" data-file-height="20" /></a></span></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">국가</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="uid"><abbr title="Matemáticas"><a rel="nofollow" class="external text" href="http://catalogo.bne.es/uhtbin/authoritybrowse.cgi?action=display&authority_id=XX4576260">스페인</a></abbr></span></li> <li><span class="uid"><abbr title="Mathématiques"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb11932434c">프랑스</a></abbr></span></li> <li><span class="uid"><abbr title="Mathématiques"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb11932434c">BnF 데이터</a></abbr></span></li> <li><span class="uid"><abbr title="Mathematik"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4037944-9">독일</a></abbr></span></li> <li><span class="uid"><abbr title="מתמטיקה"><a rel="nofollow" class="external text" href="http://uli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007555885005171">이스라엘</a></abbr></span></li> <li><span class="uid"><abbr title="Mathematics"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/sh85082139">미국</a></abbr></span></li> <li><span class="uid"><abbr title="数学"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00571521">일본</a></abbr></span></li> <li><span class="uid"><abbr title="matematika"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph117231&CON_LNG=ENG">체코</a></abbr></span></li> <li><span class="uid"><abbr title="수학(학문)[數學]"><a rel="nofollow" class="external text" href="https://lod.nl.go.kr/resource/KSH2000000191">한국</a></abbr></span></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">기타</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="http://esu.com.ua/search_articles.php?id=66923">현대 우크라이나 백과사전</a></span></li> <li><span class="uid"><a rel="nofollow" class="external text" href="https://hls-dhs-dss.ch/fr/articles/008274">스위스 역사 사전</a></span></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">원본 주소 "<a dir="ltr" href="https://ko.wikipedia.org/w/index.php?title=수학&oldid=37803756">https://ko.wikipedia.org/w/index.php?title=수학&oldid=37803756</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%B6%84%EB%A5%98" title="특수:분류">분류</a>: <ul><li><a href="/wiki/%EB%B6%84%EB%A5%98:%EC%88%98%ED%95%99" title="분류:수학">수학</a></li><li><a href="/wiki/%EB%B6%84%EB%A5%98:%ED%98%95%EC%8B%9D%EA%B3%BC%ED%95%99" title="분류:형식과학">형식과학</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">숨은 분류: <ul><li><a href="/wiki/%EB%B6%84%EB%A5%98:%ED%95%B4%EA%B2%B0%EB%90%98%EC%A7%80_%EC%95%8A%EC%9D%80_%EC%86%8D%EC%84%B1%EC%9D%B4_%EC%9E%88%EB%8A%94_%EB%AC%B8%EC%84%9C" title="분류:해결되지 않은 속성이 있는 문서">해결되지 않은 속성이 있는 문서</a></li><li><a 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