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class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">vii külgpaanile</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">peida</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">Algus</div> </a> </li> <li id="toc-Matemaatiline_analüüs_kitsas_mõttes" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Matemaatiline_analüüs_kitsas_mõttes"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Matemaatiline analüüs kitsas mõttes</span> </div> </a> <ul id="toc-Matemaatiline_analüüs_kitsas_mõttes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Analüüs_laias_mõttes" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Analüüs_laias_mõttes"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Analüüs laias mõttes</span> </div> </a> <ul id="toc-Analüüs_laias_mõttes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Ajalugu" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Ajalugu"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Ajalugu</span> </div> </a> <ul id="toc-Ajalugu-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Vaata_ka" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vaata_ka"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Vaata ka</span> </div> </a> <ul id="toc-Vaata_ka-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Viited" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Viited"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Viited</span> </div> </a> <ul id="toc-Viited-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kirjandus" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kirjandus"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Kirjandus</span> </div> </a> <ul id="toc-Kirjandus-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="Sisukord" 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="Lülita sisukord ümber" > <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">Lülita sisukord ümber</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">Matemaatiline analüüs</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="Mine teises keeles artiklisse. Saadaval 114 keeles" > <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-114" 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">114 keelt</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/Wiskundige_analise" title="Wiskundige analise – afrikaani" lang="af" hreflang="af" data-title="Wiskundige analise" data-language-autonym="Afrikaans" data-language-local-name="afrikaani" 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/Analysis" title="Analysis – šveitsisaksa" lang="gsw" hreflang="gsw" data-title="Analysis" data-language-autonym="Alemannisch" data-language-local-name="šveitsisaksa" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-anp mw-list-item"><a href="https://anp.wikipedia.org/wiki/%E0%A4%95%E0%A4%B2%E0%A4%A8_%E0%A4%B6%E0%A4%BE%E0%A4%B8%E0%A5%8D%E0%A4%A4%E0%A5%8D%E0%A4%B0" title="कलन शास्त्र – angika" lang="anp" hreflang="anp" data-title="कलन शास्त्र" data-language-autonym="अंगिका" data-language-local-name="angika" class="interlanguage-link-target"><span>अंगिका</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%AA%D8%AD%D9%84%D9%8A%D9%84_%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A" title="تحليل رياضي – araabia" lang="ar" hreflang="ar" data-title="تحليل رياضي" data-language-autonym="العربية" data-language-local-name="araabia" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Anal%C3%ADs_matematica" title="Analís matematica – aragoni" lang="an" hreflang="an" data-title="Analís matematica" data-language-autonym="Aragonés" data-language-local-name="aragoni" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-as mw-list-item"><a href="https://as.wikipedia.org/wiki/%E0%A6%97%E0%A6%BE%E0%A6%A3%E0%A6%BF%E0%A6%A4%E0%A6%BF%E0%A6%95_%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%8D%E0%A6%B2%E0%A7%87%E0%A6%B7%E0%A6%A3" title="গাণিতিক বিশ্লেষণ – assami" lang="as" hreflang="as" data-title="গাণিতিক বিশ্লেষণ" data-language-autonym="অসমীয়া" data-language-local-name="assami" 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/Anal%C3%ADs_matem%C3%A1ticu" title="Analís matemáticu – astuuria" lang="ast" hreflang="ast" data-title="Analís matemáticu" data-language-autonym="Asturianu" data-language-local-name="astuuria" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Riyazi_analiz" title="Riyazi analiz – aserbaidžaani" lang="az" hreflang="az" data-title="Riyazi analiz" data-language-autonym="Azərbaycanca" data-language-local-name="aserbaidžaani" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Analisis_matematis" title="Analisis matematis – indoneesia" lang="id" hreflang="id" data-title="Analisis matematis" data-language-autonym="Bahasa Indonesia" data-language-local-name="indoneesia" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Analisis_matematik" title="Analisis matematik – malai" lang="ms" hreflang="ms" data-title="Analisis matematik" data-language-autonym="Bahasa Melayu" data-language-local-name="malai" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%97%E0%A6%BE%E0%A6%A3%E0%A6%BF%E0%A6%A4%E0%A6%BF%E0%A6%95_%E0%A6%AC%E0%A6%BF%E0%A6%B6%E0%A7%8D%E0%A6%B2%E0%A7%87%E0%A6%B7%E0%A6%A3" title="গাণিতিক বিশ্লেষণ – bengali" lang="bn" hreflang="bn" data-title="গাণিতিক বিশ্লেষণ" data-language-autonym="বাংলা" data-language-local-name="bengali" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0_%D0%B1%D2%AF%D0%BB%D0%B5%D0%B3%D0%B5)" title="Анализ (математика бүлеге) – baškiiri" lang="ba" hreflang="ba" data-title="Анализ (математика бүлеге)" data-language-autonym="Башҡортса" data-language-local-name="baškiiri" class="interlanguage-link-target"><span>Башҡортса</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%D1%87%D0%BD%D1%8B_%D0%B0%D0%BD%D0%B0%D0%BB%D1%96%D0%B7" title="Матэматычны аналіз – valgevene" lang="be" hreflang="be" data-title="Матэматычны аналіз" data-language-autonym="Беларуская" data-language-local-name="valgevene" 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%D1%87%D0%BD%D1%8B_%D0%B0%D0%BD%D0%B0%D0%BB%D1%96%D0%B7" title="Матэматычны аналіз – valgevene (taraškievitsa)" lang="be-tarask" hreflang="be-tarask" data-title="Матэматычны аналіз" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="valgevene (taraškievitsa)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</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%E0%A5%80%E0%A4%AF_%E0%A4%AC%E0%A4%BF%E0%A4%B8%E0%A5%8D%E0%A4%B2%E0%A5%87%E0%A4%B7%E0%A4%A3" title="गणितीय बिस्लेषण – bihaari" lang="bh" hreflang="bh" data-title="गणितीय बिस्लेषण" data-language-autonym="भोजपुरी" data-language-local-name="bihaari" class="interlanguage-link-target"><span>भोजपुरी</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Matemati%C4%8Dka_analiza" title="Matematička analiza – bosnia" lang="bs" hreflang="bs" data-title="Matematička analiza" data-language-autonym="Bosanski" data-language-local-name="bosnia" class="interlanguage-link-target"><span>Bosanski</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%D1%87%D0%B5%D1%81%D0%BA%D0%B8_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7" title="Математически анализ – bulgaaria" lang="bg" hreflang="bg" data-title="Математически анализ" data-language-autonym="Български" data-language-local-name="bulgaaria" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/An%C3%A0lisi_matem%C3%A0tica" title="Anàlisi matemàtica – katalaani" lang="ca" hreflang="ca" data-title="Anàlisi matemàtica" data-language-autonym="Català" data-language-local-name="katalaani" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0_%D0%BF%D0%B0%D0%B9%C4%95)" title="Анализ (математика пайĕ) – tšuvaši" lang="cv" hreflang="cv" data-title="Анализ (математика пайĕ)" data-language-autonym="Чӑвашла" data-language-local-name="tšuvaši" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Matematick%C3%A1_anal%C3%BDza" title="Matematická analýza – tšehhi" lang="cs" hreflang="cs" data-title="Matematická analýza" data-language-autonym="Čeština" data-language-local-name="tšehhi" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Analisa" title="Analisa – korsika" lang="co" hreflang="co" data-title="Analisa" data-language-autonym="Corsu" data-language-local-name="korsika" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Dadansoddiad_mathemategol" title="Dadansoddiad mathemategol – kõmri" lang="cy" hreflang="cy" data-title="Dadansoddiad mathemategol" data-language-autonym="Cymraeg" data-language-local-name="kõmri" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Matematisk_analyse" title="Matematisk analyse – taani" lang="da" hreflang="da" data-title="Matematisk analyse" data-language-autonym="Dansk" data-language-local-name="taani" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Analysis" title="Analysis – saksa" lang="de" hreflang="de" data-title="Analysis" data-language-autonym="Deutsch" data-language-local-name="saksa" class="interlanguage-link-target"><span>Deutsch</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%AE_%CE%B1%CE%BD%CE%AC%CE%BB%CF%85%CF%83%CE%B7" title="Μαθηματική ανάλυση – kreeka" lang="el" hreflang="el" data-title="Μαθηματική ανάλυση" data-language-autonym="Ελληνικά" data-language-local-name="kreeka" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Mathematical_analysis" title="Mathematical analysis – inglise" lang="en" hreflang="en" data-title="Mathematical analysis" data-language-autonym="English" data-language-local-name="inglise" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/An%C3%A1lisis_matem%C3%A1tico" title="Análisis matemático – hispaania" lang="es" hreflang="es" data-title="Análisis matemático" data-language-autonym="Español" data-language-local-name="hispaania" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Analitiko" title="Analitiko – esperanto" lang="eo" hreflang="eo" data-title="Analitiko" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Analisi_matematiko" title="Analisi matematiko – baski" lang="eu" hreflang="eu" data-title="Analisi matematiko" data-language-autonym="Euskara" data-language-local-name="baski" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A2%D9%86%D8%A7%D9%84%DB%8C%D8%B2_%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C" title="آنالیز ریاضی – pärsia" lang="fa" hreflang="fa" data-title="آنالیز ریاضی" data-language-autonym="فارسی" data-language-local-name="pärsia" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Mathematical_analysis" title="Mathematical analysis – Fidži hindi" lang="hif" hreflang="hif" data-title="Mathematical analysis" data-language-autonym="Fiji Hindi" data-language-local-name="Fidži hindi" class="interlanguage-link-target"><span>Fiji Hindi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Analyse_(math%C3%A9matiques)" title="Analyse (mathématiques) – prantsuse" lang="fr" hreflang="fr" data-title="Analyse (mathématiques)" data-language-autonym="Français" data-language-local-name="prantsuse" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Anail%C3%ADs_mhatamaitici%C3%BAil" title="Anailís mhatamaiticiúil – iiri" lang="ga" hreflang="ga" data-title="Anailís mhatamaiticiúil" data-language-autonym="Gaeilge" data-language-local-name="iiri" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Anailis_mhatamataigeach" title="Anailis mhatamataigeach – gaeli" lang="gd" hreflang="gd" data-title="Anailis mhatamataigeach" data-language-autonym="Gàidhlig" data-language-local-name="gaeli" 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/An%C3%A1lise_matem%C3%A1tica" title="Análise matemática – galeegi" lang="gl" hreflang="gl" data-title="Análise matemática" data-language-autonym="Galego" data-language-local-name="galeegi" class="interlanguage-link-target"><span>Galego</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%E5%88%86%E6%9E%90" title="數學分析 – kani" lang="gan" hreflang="gan" data-title="數學分析" data-language-autonym="贛語" data-language-local-name="kani" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%ED%95%B4%EC%84%9D%ED%95%99_(%EC%88%98%ED%95%99)" title="해석학 (수학) – korea" lang="ko" hreflang="ko" data-title="해석학 (수학)" data-language-autonym="한국어" data-language-local-name="korea" class="interlanguage-link-target"><span>한국어</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%D5%AF%D5%A1%D5%B6_%D5%A1%D5%B6%D5%A1%D5%AC%D5%AB%D5%A6" title="Մաթեմատիկական անալիզ – armeenia" lang="hy" hreflang="hy" data-title="Մաթեմատիկական անալիզ" data-language-autonym="Հայերեն" data-language-local-name="armeenia" class="interlanguage-link-target"><span>Հայերեն</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%E0%A5%80%E0%A4%AF_%E0%A4%B5%E0%A4%BF%E0%A4%B6%E0%A5%8D%E0%A4%B2%E0%A5%87%E0%A4%B7%E0%A4%A3" title="गणितीय विश्लेषण – hindi" lang="hi" hreflang="hi" data-title="गणितीय विश्लेषण" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Matemati%C4%8Dka_analiza" title="Matematička analiza – horvaadi" lang="hr" hreflang="hr" data-title="Matematička analiza" data-language-autonym="Hrvatski" data-language-local-name="horvaadi" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Analitiko" title="Analitiko – ido" lang="io" hreflang="io" data-title="Analitiko" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Analyse_(mathematica)" title="Analyse (mathematica) – interlingua" lang="ia" hreflang="ia" data-title="Analyse (mathematica)" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</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%B0igreining" title="Stærðfræðigreining – islandi" lang="is" hreflang="is" data-title="Stærðfræðigreining" data-language-autonym="Íslenska" data-language-local-name="islandi" 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/Analisi_matematica" title="Analisi matematica – itaalia" lang="it" hreflang="it" data-title="Analisi matematica" data-language-autonym="Italiano" data-language-local-name="itaalia" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%A0%D7%9C%D7%99%D7%96%D7%94_%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%AA" title="אנליזה מתמטית – heebrea" lang="he" hreflang="he" data-title="אנליזה מתמטית" data-language-autonym="עברית" data-language-local-name="heebrea" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B5%E0%B2%BF%E0%B2%B6%E0%B3%8D%E0%B2%B2%E0%B3%87%E0%B2%B7%E0%B2%A3_%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4" title="ವಿಶ್ಲೇಷಣ ಗಣಿತ – kannada" lang="kn" hreflang="kn" data-title="ವಿಶ್ಲೇಷಣ ಗಣಿತ" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><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%A3%E1%83%A0%E1%83%98_%E1%83%90%E1%83%9C%E1%83%90%E1%83%9A%E1%83%98%E1%83%96%E1%83%98" title="მათემატიკური ანალიზი – gruusia" lang="ka" hreflang="ka" data-title="მათემატიკური ანალიზი" data-language-autonym="ქართული" data-language-local-name="gruusia" class="interlanguage-link-target"><span>ქართული</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%D0%BB%D1%8B%D2%9B_%D1%82%D0%B0%D0%BB%D0%B4%D0%B0%D1%83" title="Математикалық талдау – kasahhi" lang="kk" hreflang="kk" data-title="Математикалық талдау" data-language-autonym="Қазақша" data-language-local-name="kasahhi" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%D0%BB%D1%8B%D0%BA_%D1%82%D0%B0%D0%BB%D0%B4%D0%BE%D0%BE" title="Математикалык талдоо – kirgiisi" lang="ky" hreflang="ky" data-title="Математикалык талдоо" data-language-autonym="Кыргызча" data-language-local-name="kirgiisi" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Uchambuzi_wa_kihisabati" title="Uchambuzi wa kihisabati – suahiili" lang="sw" hreflang="sw" data-title="Uchambuzi wa kihisabati" data-language-autonym="Kiswahili" data-language-local-name="suahiili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Analiz_(mat%C3%A9matik)" title="Analiz (matématik) – Guajaana kreoolkeel" lang="gcr" hreflang="gcr" data-title="Analiz (matématik)" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guajaana kreoolkeel" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-lo mw-list-item"><a href="https://lo.wikipedia.org/wiki/%E0%BA%81%E0%BA%B2%E0%BA%99%E0%BA%A7%E0%BA%B4%E0%BB%80%E0%BA%84%E0%BA%B2%E0%BA%B0%E0%BA%97%E0%BA%B2%E0%BA%87%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="ການວິເຄາະທາງຄະນິດສາດ – lao" lang="lo" hreflang="lo" data-title="ການວິເຄາະທາງຄະນິດສາດ" data-language-autonym="ລາວ" data-language-local-name="lao" class="interlanguage-link-target"><span>ລາວ</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Analysis_mathematica" title="Analysis mathematica – ladina" lang="la" hreflang="la" data-title="Analysis mathematica" data-language-autonym="Latina" data-language-local-name="ladina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Matem%C4%81tisk%C4%81_anal%C4%ABze" title="Matemātiskā analīze – läti" lang="lv" hreflang="lv" data-title="Matemātiskā analīze" data-language-autonym="Latviešu" data-language-local-name="läti" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Analys_(Mathematik)" title="Analys (Mathematik) – letseburgi" lang="lb" hreflang="lb" data-title="Analys (Mathematik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="letseburgi" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Matematin%C4%97_analiz%C4%97" title="Matematinė analizė – leedu" lang="lt" hreflang="lt" data-title="Matematinė analizė" data-language-autonym="Lietuvių" data-language-local-name="leedu" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Analixi_matematica" title="Analixi matematica – liguuri" lang="lij" hreflang="lij" data-title="Analixi matematica" data-language-autonym="Ligure" data-language-local-name="liguuri" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Analise_matematical" title="Analise matematical – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Analise matematical" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Analisi_matematega" title="Analisi matematega – lombardi" lang="lmo" hreflang="lmo" data-title="Analisi matematega" data-language-autonym="Lombard" data-language-local-name="lombardi" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Matematikai_anal%C3%ADzis" title="Matematikai analízis – ungari" lang="hu" hreflang="hu" data-title="Matematikai analízis" data-language-autonym="Magyar" data-language-local-name="ungari" class="interlanguage-link-target"><span>Magyar</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%D1%87%D0%BA%D0%B0_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0" title="Математичка анализа – makedoonia" lang="mk" hreflang="mk" data-title="Математичка анализа" data-language-autonym="Македонски" data-language-local-name="makedoonia" 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%85%E0%B4%A8%E0%B4%BE%E0%B4%B2%E0%B4%BF%E0%B4%B8%E0%B4%BF%E0%B4%B8%E0%B5%8D_(%E0%B4%97%E0%B4%A3%E0%B4%BF%E0%B4%A4%E0%B4%82)" title="അനാലിസിസ് (ഗണിതം) – malajalami" lang="ml" hreflang="ml" data-title="അനാലിസിസ് (ഗണിതം)" data-language-autonym="മലയാളം" data-language-local-name="malajalami" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mt mw-list-item"><a href="https://mt.wikipedia.org/wiki/Analisi_matematika" title="Analisi matematika – malta" lang="mt" hreflang="mt" data-title="Analisi matematika" data-language-autonym="Malti" data-language-local-name="malta" 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/An%C3%A1leze_matem%C3%A1tica" title="Análeze matemática – miranda" lang="mwl" hreflang="mwl" data-title="Análeze matemática" data-language-autonym="Mirandés" data-language-local-name="miranda" 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%81%E1%80%BD%E1%80%B2%E1%80%81%E1%80%BC%E1%80%99%E1%80%BA%E1%80%B8%E1%80%85%E1%80%AD%E1%80%90%E1%80%BA%E1%80%96%E1%80%BC%E1%80%AC%E1%80%9E%E1%80%84%E1%80%BA%E1%80%B9%E1%80%81%E1%80%BB%E1%80%AC" title="ခွဲခြမ်းစိတ်ဖြာသင်္ချာ – birma" lang="my" hreflang="my" data-title="ခွဲခြမ်းစိတ်ဖြာသင်္ချာ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birma" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Analyse_(wiskunde)" title="Analyse (wiskunde) – hollandi" lang="nl" hreflang="nl" data-title="Analyse (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="hollandi" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E8%A7%A3%E6%9E%90%E5%AD%A6" title="解析学 – jaapani" lang="ja" hreflang="ja" data-title="解析学" data-language-autonym="日本語" data-language-local-name="jaapani" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Analysis" title="Analysis – põhjafriisi" lang="frr" hreflang="frr" data-title="Analysis" data-language-autonym="Nordfriisk" data-language-local-name="põhjafriisi" class="interlanguage-link-target"><span>Nordfriisk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Matematisk_analyse" title="Matematisk analyse – norra bokmål" lang="nb" hreflang="nb" data-title="Matematisk analyse" data-language-autonym="Norsk bokmål" data-language-local-name="norra bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Matematisk_analyse" title="Matematisk analyse – uusnorra" lang="nn" hreflang="nn" data-title="Matematisk analyse" data-language-autonym="Norsk nynorsk" data-language-local-name="uusnorra" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Analisi_matematica" title="Analisi matematica – oksitaani" lang="oc" hreflang="oc" data-title="Analisi matematica" data-language-autonym="Occitan" data-language-local-name="oksitaani" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Matematik_analiz" title="Matematik analiz – usbeki" lang="uz" hreflang="uz" data-title="Matematik analiz" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="usbeki" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</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_%E0%A8%B5%E0%A8%BF%E0%A8%B8%E0%A8%BC%E0%A8%B2%E0%A9%87%E0%A8%B8%E0%A8%BC%E0%A8%A3" title="ਗਣਿਤ ਵਿਸ਼ਲੇਸ਼ਣ – pandžabi" lang="pa" hreflang="pa" data-title="ਗਣਿਤ ਵਿਸ਼ਲੇਸ਼ਣ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pnb mw-list-item"><a href="https://pnb.wikipedia.org/wiki/%D9%85%DB%8C%D8%AA%DA%BE%D9%85%DB%8C%D9%B9%DB%8C%DA%A9%D9%84_%D8%A7%D9%86%DB%8C%D9%84%DB%8C%D8%B3%D8%B2" title="میتھمیٹیکل انیلیسز – lahnda" lang="pnb" hreflang="pnb" data-title="میتھمیٹیکل انیلیسز" data-language-autonym="پنجابی" data-language-local-name="lahnda" class="interlanguage-link-target"><span>پنجابی</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Matimatikal_analisis" title="Matimatikal analisis – Jamaica kreoolkeel" lang="jam" hreflang="jam" data-title="Matimatikal analisis" data-language-autonym="Patois" data-language-local-name="Jamaica kreoolkeel" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/An%C3%A0lisi_matem%C3%A0tica" title="Anàlisi matemàtica – piemonte" lang="pms" hreflang="pms" data-title="Anàlisi matemàtica" data-language-autonym="Piemontèis" data-language-local-name="piemonte" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Analysis" title="Analysis – alamsaksa" lang="nds" hreflang="nds" data-title="Analysis" data-language-autonym="Plattdüütsch" data-language-local-name="alamsaksa" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Analiza_matematyczna" title="Analiza matematyczna – poola" lang="pl" hreflang="pl" data-title="Analiza matematyczna" data-language-autonym="Polski" data-language-local-name="poola" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/An%C3%A1lise_matem%C3%A1tica" title="Análise matemática – portugali" lang="pt" hreflang="pt" data-title="Análise matemática" data-language-autonym="Português" data-language-local-name="portugali" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Analiza_matematic%C4%83" title="Analiza matematică – rumeenia" lang="ro" hreflang="ro" data-title="Analiza matematică" data-language-autonym="Română" data-language-local-name="rumeenia" class="interlanguage-link-target"><span>Română</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%D1%87%D0%BD%D0%B0_%D0%B0%D0%BD%D0%B0%D0%BB%D1%96%D0%B7%D0%B0" title="Математічна аналіза – russiini" lang="rue" hreflang="rue" data-title="Математічна аналіза" data-language-autonym="Русиньскый" data-language-local-name="russiini" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%90%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7_(%D1%80%D0%B0%D0%B7%D0%B4%D0%B5%D0%BB_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B8)" title="Анализ (раздел математики) – vene" lang="ru" hreflang="ru" data-title="Анализ (раздел математики)" data-language-autonym="Русский" data-language-local-name="vene" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Mathematical_analysis" title="Mathematical analysis – šoti" lang="sco" hreflang="sco" data-title="Mathematical analysis" data-language-autonym="Scots" data-language-local-name="šoti" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Analiza_matematikore" title="Analiza matematikore – albaania" lang="sq" hreflang="sq" data-title="Analiza matematikore" data-language-autonym="Shqip" data-language-local-name="albaania" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/An%C3%A0lisi_(matim%C3%A0tica)" title="Anàlisi (matimàtica) – sitsiilia" lang="scn" hreflang="scn" data-title="Anàlisi (matimàtica)" data-language-autonym="Sicilianu" data-language-local-name="sitsiilia" class="interlanguage-link-target"><span>Sicilianu</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%B8%E0%B6%BA_%E0%B7%80%E0%B7%92%E0%B7%81%E0%B7%8A%E0%B6%BD%E0%B7%9A%E0%B7%82%E0%B6%AB%E0%B6%BA" title="ගණිතමය විශ්ලේෂණය – singali" lang="si" hreflang="si" data-title="ගණිතමය විශ්ලේෂණය" data-language-autonym="සිංහල" data-language-local-name="singali" 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/Mathematical_analysis" title="Mathematical analysis – lihtsustatud inglise" lang="en-simple" hreflang="en-simple" data-title="Mathematical analysis" data-language-autonym="Simple English" data-language-local-name="lihtsustatud inglise" 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/Matematick%C3%A1_anal%C3%BDza" title="Matematická analýza – slovaki" lang="sk" hreflang="sk" data-title="Matematická analýza" data-language-autonym="Slovenčina" data-language-local-name="slovaki" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Matemati%C4%8Dna_analiza" title="Matematična analiza – sloveeni" lang="sl" hreflang="sl" data-title="Matematična analiza" data-language-autonym="Slovenščina" data-language-local-name="sloveeni" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%B4%DB%8C%DA%A9%D8%A7%D8%B1%DB%8C%DB%8C_%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9%DB%8C" title="شیکاریی ماتماتیکی – sorani" lang="ckb" hreflang="ckb" data-title="شیکاریی ماتماتیکی" data-language-autonym="کوردی" data-language-local-name="sorani" class="interlanguage-link-target"><span>کوردی</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%D1%87%D0%BA%D0%B0_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0" title="Математичка анализа – serbia" lang="sr" hreflang="sr" data-title="Математичка анализа" data-language-autonym="Српски / srpski" data-language-local-name="serbia" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Matemati%C4%8Dka_analiza" title="Matematička analiza – serbia-horvaadi" lang="sh" hreflang="sh" data-title="Matematička analiza" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbia-horvaadi" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Analyysi_(matematiikka)" title="Analyysi (matematiikka) – soome" lang="fi" hreflang="fi" data-title="Analyysi (matematiikka)" data-language-autonym="Suomi" data-language-local-name="soome" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Matematisk_analys" title="Matematisk analys – rootsi" lang="sv" hreflang="sv" data-title="Matematisk analys" data-language-autonym="Svenska" data-language-local-name="rootsi" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pagsusuring_matematikal" title="Pagsusuring matematikal – tagalogi" lang="tl" hreflang="tl" data-title="Pagsusuring matematikal" data-language-autonym="Tagalog" data-language-local-name="tagalogi" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%95%E0%AF%81%E0%AE%B5%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" title="பகுவியல் (கணிதம்) – tamili" lang="ta" hreflang="ta" data-title="பகுவியல் (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="tamili" class="interlanguage-link-target"><span>தமிழ்</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%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7" title="Математик анализ – tatari" lang="tt" hreflang="tt" data-title="Математик анализ" data-language-autonym="Татарча / tatarça" data-language-local-name="tatari" class="interlanguage-link-target"><span>Татарча / tatarça</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%A7%E0%B8%B4%E0%B9%80%E0%B8%84%E0%B8%A3%E0%B8%B2%E0%B8%B0%E0%B8%AB%E0%B9%8C" title="คณิตวิเคราะห์ – tai" lang="th" hreflang="th" data-title="คณิตวิเคราะห์" data-language-autonym="ไทย" data-language-local-name="tai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Gi%E1%BA%A3i_t%C3%ADch_to%C3%A1n_h%E1%BB%8Dc" title="Giải tích toán học – vietnami" lang="vi" hreflang="vi" data-title="Giải tích toán học" data-language-autonym="Tiếng Việt" data-language-local-name="vietnami" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Analiz_(matematik)" title="Analiz (matematik) – türgi" lang="tr" hreflang="tr" data-title="Analiz (matematik)" data-language-autonym="Türkçe" data-language-local-name="türgi" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tk mw-list-item"><a href="https://tk.wikipedia.org/wiki/Analiz" title="Analiz – türkmeeni" lang="tk" hreflang="tk" data-title="Analiz" data-language-autonym="Türkmençe" data-language-local-name="türkmeeni" class="interlanguage-link-target"><span>Türkmençe</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%D1%87%D0%BD%D0%B8%D0%B9_%D0%B0%D0%BD%D0%B0%D0%BB%D1%96%D0%B7" title="Математичний аналіз – ukraina" lang="uk" hreflang="uk" data-title="Математичний аналіз" data-language-autonym="Українська" data-language-local-name="ukraina" 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%D8%A7%D8%AA%DB%8C_%D8%AA%D8%AD%D9%84%DB%8C%D9%84" title="ریاضیاتی تحلیل – urdu" lang="ur" hreflang="ur" data-title="ریاضیاتی تحلیل" data-language-autonym="اردو" data-language-local-name="urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vec mw-list-item"><a href="https://vec.wikipedia.org/wiki/An%C3%A0%C5%82ixi_matem%C3%A0tica" title="Anàłixi matemàtica – veneti" lang="vec" hreflang="vec" data-title="Anàłixi matemàtica" data-language-autonym="Vèneto" data-language-local-name="veneti" 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/Analiz_(matematikan_jaguz)" title="Analiz (matematikan jaguz) – vepsa" lang="vep" hreflang="vep" data-title="Analiz (matematikan jaguz)" data-language-autonym="Vepsän kel’" data-language-local-name="vepsa" class="interlanguage-link-target"><span>Vepsän kel’</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E5%88%86%E6%9E%90%E5%AD%B8" title="分析學 – klassikaline hiina" lang="lzh" hreflang="lzh" data-title="分析學" data-language-autonym="文言" data-language-local-name="klassikaline hiina" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Analisis_matematikal" title="Analisis matematikal – varai" lang="war" hreflang="war" data-title="Analisis matematikal" data-language-autonym="Winaray" data-language-local-name="varai" class="interlanguage-link-target"><span>Winaray</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%E5%88%86%E6%9E%90" title="数学分析 – uu" lang="wuu" hreflang="wuu" data-title="数学分析" data-language-autonym="吴语" data-language-local-name="uu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-ts mw-list-item"><a href="https://ts.wikipedia.org/wiki/Vukambisisi_bya_Dyondzo-Tinhlayo" title="Vukambisisi bya Dyondzo-Tinhlayo – tsonga" lang="ts" hreflang="ts" data-title="Vukambisisi bya Dyondzo-Tinhlayo" data-language-autonym="Xitsonga" data-language-local-name="tsonga" class="interlanguage-link-target"><span>Xitsonga</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%A9%D7%A2%D7%A8_%D7%90%D7%A0%D7%90%D7%9C%D7%99%D7%96" title="מאטעמאטישער אנאליז – jidiši" lang="yi" hreflang="yi" data-title="מאטעמאטישער אנאליז" data-language-autonym="ייִדיש" data-language-local-name="jidiši" 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/%C3%8Ct%C3%BAw%C3%B2_Mathim%C3%A1t%C3%AD%C3%ACk%C3%AC" title="Ìtúwò Mathimátíìkì – joruba" lang="yo" hreflang="yo" data-title="Ìtúwò Mathimátíìkì" data-language-autonym="Yorùbá" data-language-local-name="joruba" class="interlanguage-link-target"><span>Yorùbá</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%E5%88%86%E6%9E%90" title="數學分析 – kantoni" lang="yue" hreflang="yue" data-title="數學分析" data-language-autonym="粵語" data-language-local-name="kantoni" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-diq mw-list-item"><a href="https://diq.wikipedia.org/wiki/Analizo_matematik%C3%AAn" title="Analizo matematikên – dõmli" lang="diq" hreflang="diq" data-title="Analizo matematikên" data-language-autonym="Zazaki" data-language-local-name="dõmli" class="interlanguage-link-target"><span>Zazaki</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%E5%88%86%E6%9E%90" title="数学分析 – hiina" lang="zh" hreflang="zh" data-title="数学分析" data-language-autonym="中文" data-language-local-name="hiina" class="interlanguage-link-target"><span>中文</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/Q7754#sitelinks-wikipedia" title="Muuda keelelinke" class="wbc-editpage">Muuda linke</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="Nimeruumid"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a 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class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">peida</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Allikas: Vikipeedia</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="et" dir="ltr"><p><b>Matemaatiline analüüs</b> ehk <b>analüüs</b> on <a href="/wiki/Matemaatika" title="Matemaatika">matemaatika</a> haru, mis uurib <a href="/wiki/Funktsioon_(matemaatika)" title="Funktsioon (matemaatika)">funktsioone</a> ja nende üldistusi <a href="/wiki/Piirv%C3%A4%C3%A4rtus" title="Piirväärtus">piirväärtuse</a> meetodil.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p>Kitsamas mõttes mõeldakse matemaatilise analüüsi all <a href="/wiki/Diferentsiaalarvutus" title="Diferentsiaalarvutus">diferentsiaalarvutust</a> ja <a href="/w/index.php?title=Integraalarvutus&action=edit&redlink=1" class="new" title="Integraalarvutus (pole veel kirjutatud)">integraalarvutust</a> ühe ja mitme <a href="/wiki/Reaalmuutuja_funktsioon" title="Reaalmuutuja funktsioon">reaalmuutuja funktsioonidega</a>, mille rajasid <a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a> ja <a href="/wiki/Leibniz" class="mw-redirect" title="Leibniz">Leibniz</a>, kuigi mõned selle mõisted kujunesid palju varem. Piirväärtuste meetod võeti kasutusele 19. sajandil. 20. sajandil on kujunenud ka alternatiivne <a href="/wiki/Mittestandardne_matemaatiline_anal%C3%BC%C3%BCs" class="mw-redirect" title="Mittestandardne matemaatiline analüüs">mittestandardne matemaatiline analüüs</a>. Õppeainena hõlmab see ka <a href="/w/index.php?title=Ridade_teooria&action=edit&redlink=1" class="new" title="Ridade teooria (pole veel kirjutatud)">ridade teooria</a>. Laiemas mõttes hõlmab matemaatiline analüüs paljusid uuteks matemaatika harudeks kujunenud valdkondi, nagu <a href="/wiki/Reaalmuutuja_funktsioonide_teooria" title="Reaalmuutuja funktsioonide teooria">reaalmuutuja funktsioonide teooria</a>, <a href="/wiki/Kompleksmuutuja_funktsioonide_teooria" title="Kompleksmuutuja funktsioonide teooria">kompleksmuutuja funktsioonide teooria</a>, <a href="/wiki/T%C3%B5en%C3%A4osusteooria" title="Tõenäosusteooria">tõenäosusteooria</a>, <a href="/w/index.php?title=Harilike_diferentsiaalv%C3%B5rrandite_teooria&action=edit&redlink=1" class="new" title="Harilike diferentsiaalvõrrandite teooria (pole veel kirjutatud)">harilike diferentsiaalvõrrandite teooria</a>, <a href="/wiki/Matemaatiline_statistika" title="Matemaatiline statistika">matemaatiline statistika</a>, <a href="/w/index.php?title=Osatuletistega_diferentsiaalv%C3%B5rrandite_teooria&action=edit&redlink=1" class="new" title="Osatuletistega diferentsiaalvõrrandite teooria (pole veel kirjutatud)">osatuletistega diferentsiaalvõrrandite teooria</a>, <a href="/w/index.php?title=Matemaatilise_f%C3%BC%C3%BCsika_v%C3%B5rrandid&action=edit&redlink=1" class="new" title="Matemaatilise füüsika võrrandid (pole veel kirjutatud)">matemaatilise füüsika võrrandid</a>, <a href="/wiki/Arvutusmatemaatika" title="Arvutusmatemaatika">arvutusmatemaatika</a>, <a href="/wiki/Variatsioonarvutus" title="Variatsioonarvutus">variatsioonarvutus</a>, <a href="/wiki/Funktsionaalanal%C3%BC%C3%BCs" title="Funktsionaalanalüüs">funktsionaalanalüüs</a>. Kokku moodustavad need suurema osa matemaatikast. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Matemaatiline_analüüs_kitsas_mõttes"><span id="Matemaatiline_anal.C3.BC.C3.BCs_kitsas_m.C3.B5ttes"></span>Matemaatiline analüüs kitsas mõttes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&veaction=edit&section=1" title="Muuda alaosa "Matemaatiline analüüs kitsas mõttes"" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&action=edit&section=1" title="Muuda alaosa "Matemaatiline analüüs kitsas mõttes" lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b>Matemaatiline analüüs</b> kitsamas mõttes ehk klassikaline matemaatiline analüüs ühendab <a href="/wiki/Diferentsiaalarvutus" title="Diferentsiaalarvutus">diferentsiaalarvutuse</a> ja <a href="/w/index.php?title=Integraalarvutus&action=edit&redlink=1" class="new" title="Integraalarvutus (pole veel kirjutatud)">integraalarvutuse</a> ning nendega lähedalt seotud matemaatika valdkonnad (<a href="/w/index.php?title=Piirv%C3%A4%C3%A4rtuste_teooria&action=edit&redlink=1" class="new" title="Piirväärtuste teooria (pole veel kirjutatud)">piirväärtuste teooria</a>, <a href="/w/index.php?title=Ridade_teooria&action=edit&redlink=1" class="new" title="Ridade teooria (pole veel kirjutatud)">ridade teooria</a>). Selle põhimõisted on <a href="/wiki/Funktsiooni_piirv%C3%A4%C3%A4rtus" class="mw-redirect" title="Funktsiooni piirväärtus">funktsiooni piirväärtus</a>, <a href="/wiki/Diferentsiaal" title="Diferentsiaal">diferentsiaal</a>, <a href="/wiki/Tuletis_(matemaatika)" title="Tuletis (matemaatika)">tuletis</a>, ja <a href="/wiki/Integraal" title="Integraal">integraal</a>, peamised tulemused on <a href="/w/index.php?title=Newtoni-Leibnizi_valem&action=edit&redlink=1" class="new" title="Newtoni-Leibnizi valem (pole veel kirjutatud)">Newtoni-Leibnizi valem</a>, mis seob <a href="/wiki/M%C3%A4%C3%A4ratud_integraal" title="Määratud integraal">määratud integraali</a> ja <a href="/w/index.php?title=Algfunktsioon&action=edit&redlink=1" class="new" title="Algfunktsioon (pole veel kirjutatud)">algfunktsiooni</a>, ja <a href="/wiki/Taylori_rida" title="Taylori rida">Taylori rida</a>, <a href="/wiki/L%C3%B5pmatult_diferentseeruv_funktsioon" title="Lõpmatult diferentseeruv funktsioon">lõpmatult diferentseeruva funktsiooni</a> <a href="/w/index.php?title=Reaksarendus&action=edit&redlink=1" class="new" title="Reaksarendus (pole veel kirjutatud)">reaksarendus</a> <a href="/wiki/Punkt_(matemaatika)" title="Punkt (matemaatika)">punkti</a> <a href="/wiki/%C3%9Cmbrus" title="Ümbrus">ümbruses</a>. </p><p>Klassikalisel matemaatilisel analüüsil põhineb analüüs laiemas mõttes, mida peetakse üheks kolmest matemaatika põhisuunast <a href="/wiki/Algebra" title="Algebra">algebra</a> ja <a href="/wiki/Geomeetria" title="Geomeetria">geomeetria</a> kõrval. </p><p>Kitsas mõttes kasutatakse väljendit "matemaatiline analüüs" põhiliselt õppeprogrammides ja -materjalides. Analüüsi aluseid õpitakse tavaliselt juba keskkoolis, enam-vähem täies mahus õpitakse matemaatilist analüüsi kõrgkoolis paljude erialade esimestel kursustel. </p> <div class="mw-heading mw-heading2"><h2 id="Analüüs_laias_mõttes"><span id="Anal.C3.BC.C3.BCs_laias_m.C3.B5ttes"></span>Analüüs laias mõttes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&veaction=edit&section=2" title="Muuda alaosa "Analüüs laias mõttes"" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&action=edit&section=2" title="Muuda alaosa "Analüüs laias mõttes" lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b>Analüüs</b> on klassikalisest matemaatilisest analüüsist välja kasvanud osa tänapäeva matemaatikast. See hõlmab peale klassikalisse ossa kuuluvate <a href="/wiki/Diferentsiaalarvutus" title="Diferentsiaalarvutus">diferentsiaalarvutuse</a> ja <a href="/w/index.php?title=Integraalarvutus&action=edit&redlink=1" class="new" title="Integraalarvutus (pole veel kirjutatud)">integraalarvutuse</a> ka näiteks <a href="/wiki/Reaalmuutuja_funktsioonide_teooria" title="Reaalmuutuja funktsioonide teooria">reaalmuutuja funktsioonide teooria</a>, <a href="/wiki/Kompleksmuutuja_funktsioonide_teooria" title="Kompleksmuutuja funktsioonide teooria">kompleksmuutuja funktsioonide teooria</a>, <a href="/w/index.php?title=Diferentsiaalv%C3%B5rrandite_teooria&action=edit&redlink=1" class="new" title="Diferentsiaalvõrrandite teooria (pole veel kirjutatud)">diferentsiaalvõrrandite teooria</a>, <a href="/w/index.php?title=Integraalv%C3%B5rrandite_teooria&action=edit&redlink=1" class="new" title="Integraalvõrrandite teooria (pole veel kirjutatud)">integraalvõrrandite teooria</a>, <a href="/wiki/Variatsioonarvutus" title="Variatsioonarvutus">variatsioonarvutuse</a>, <a href="/wiki/Harmooniline_anal%C3%BC%C3%BCs" title="Harmooniline analüüs">harmoonilise analüüsi</a>, <a href="/wiki/Funktsionaalanal%C3%BC%C3%BCs" title="Funktsionaalanalüüs">funktsionaalanalüüsi</a>, <a href="/w/index.php?title=D%C3%BCnaamiliste_s%C3%BCsteemide_teooria&action=edit&redlink=1" class="new" title="Dünaamiliste süsteemide teooria (pole veel kirjutatud)">dünaamiliste süsteemide teooria</a>, <a href="/w/index.php?title=Ergoodiline_teooria&action=edit&redlink=1" class="new" title="Ergoodiline teooria (pole veel kirjutatud)">ergoodilise teooria</a> ja <a href="/w/index.php?title=Globaalne_anal%C3%BC%C3%BCs&action=edit&redlink=1" class="new" title="Globaalne analüüs (pole veel kirjutatud)">globaalse analüüsi</a>. <a href="/wiki/Mittestandardne_anal%C3%BC%C3%BCs" title="Mittestandardne analüüs">Mittestandardne analüüs</a> on <a href="/wiki/Matemaatiline_loogika" title="Matemaatiline loogika">matemaatilise loogika</a> ja <a href="/w/index.php?title=Mudeliteooria&action=edit&redlink=1" class="new" title="Mudeliteooria (pole veel kirjutatud)">mudeliteooria</a> <a href="/w/index.php?title=Sidusdistsipliin&action=edit&redlink=1" class="new" title="Sidusdistsipliin (pole veel kirjutatud)">sidusdistsipliin</a>, mis rakendab <a href="/w/index.php?title=Mudelteooria&action=edit&redlink=1" class="new" title="Mudelteooria (pole veel kirjutatud)">mudelteooria</a> meetodeid eelkõige klassikalise matemaatilise analüüsi alternatiivseks formaliseerimiseks. </p><p>Analüüsi loetakse <a href="/wiki/Algebra" title="Algebra">algebra</a> ja <a href="/wiki/Geomeetria" title="Geomeetria">geomeetria</a> kõrval üheks <a href="/wiki/Matemaatika" title="Matemaatika">matemaatika</a> põhisuunaks. Analüüsile on iseloomulik funktsioonide uurimine. Kui <a href="/wiki/Elementaarmatemaatika" title="Elementaarmatemaatika">elementaarmatemaatika</a> õppeprogrammides ja -materjalides ühendatakse analüüsi teemad sageli <a href="/w/index.php?title=Elementaaralgebra&action=edit&redlink=1" class="new" title="Elementaaralgebra (pole veel kirjutatud)">elementaaralgebraga</a>, siis tänapäeva analüüs kasutab suurel määral tänapäeva geomeetria, eelkõige <a href="/wiki/Diferentsiaalgeomeetria" title="Diferentsiaalgeomeetria">diferentsiaalgeomeetria</a> ja <a href="/w/index.php?title=Diferentsiaaltopoloogia&action=edit&redlink=1" class="new" title="Diferentsiaaltopoloogia (pole veel kirjutatud)">diferentsiaaltopoloogia</a> meetodeid. </p> <div class="mw-heading mw-heading2"><h2 id="Ajalugu">Ajalugu</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&veaction=edit&section=3" title="Muuda alaosa "Ajalugu"" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&action=edit&section=3" title="Muuda alaosa "Ajalugu" lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Next.svg/12px-Next.svg.png" decoding="async" width="12" height="12" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Next.svg/18px-Next.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a3/Next.svg/24px-Next.svg.png 2x" data-file-width="160" data-file-height="160" /></span></span> <i>Pikemalt artiklis <a href="/w/index.php?title=L%C3%B5pmata_v%C3%A4ikeste_anal%C3%BC%C3%BCs&action=edit&redlink=1" class="new" title="Lõpmata väikeste analüüs (pole veel kirjutatud)">Lõpmata väikeste analüüs</a></i></dd></dl> <p>Matemaatilise analüüsi eelkäijad olid antiikaja <a href="/w/index.php?title=Ammutamise_meetod&action=edit&redlink=1" class="new" title="Ammutamise meetod (pole veel kirjutatud)">ammutamise meetod</a> ja <a href="/w/index.php?title=Jagamatute_meetod&action=edit&redlink=1" class="new" title="Jagamatute meetod (pole veel kirjutatud)">jagamatute meetod</a>. Neid meetodeid ühendab analüüsiga <a href="/w/index.php?title=L%C3%B5pmata_v%C3%A4ike_suurus&action=edit&redlink=1" class="new" title="Lõpmata väike suurus (pole veel kirjutatud)">lõpmata väikesteks elementideks</a> lahutamise idee, kusjuures nende loomust ei kujutatud täpselt ette. Algebraline lähenemine (<a href="/w/index.php?title=Infinitesimaalarvutus&action=edit&redlink=1" class="new" title="Infinitesimaalarvutus (pole veel kirjutatud)">infinitesimaalarvutus</a>) hakkas ilmuma <a href="/wiki/John_Wallis" title="John Wallis">John Wallise</a>, <a href="/wiki/James_Gregory" title="James Gregory">James Gregory</a> ja <a href="/w/index.php?title=Isaac_Barrow&action=edit&redlink=1" class="new" title="Isaac Barrow (pole veel kirjutatud)">Isaac Barrow</a>' töödes. Täies ulatuses töötas uue arvutuse kui süsteemi välja <a href="/wiki/Isaac_Newton" title="Isaac Newton">Isaac Newton</a>, kes aga jättis oma avastused pikaks ajaks avaldamata. </p><p>Diferentsiaalarvutuse sünni ametlikuks ajaks võib pidada <a href="/wiki/1684" title="1684">1684</a>. aasta maid, mil <a href="/wiki/Gottfried_Wilhelm_Leibniz" title="Gottfried Wilhelm Leibniz">Gottfried Wilhelm Leibniz</a> avaldas ajakirjas <a href="/w/index.php?title=Acta_eruditorum&action=edit&redlink=1" class="new" title="Acta eruditorum (pole veel kirjutatud)">Acta eruditorum</a> (kd V, lk 220–226) artikli "Uus maksimumide ja miinimumide meetod...", mis esitas lühidal ja raskesti arusaadaval kujul diferentsiaalrvutuse printsiibid. </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fail:Gottfried_Wilhelm_von_Leibniz.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6a/Gottfried_Wilhelm_von_Leibniz.jpg/220px-Gottfried_Wilhelm_von_Leibniz.jpg" decoding="async" width="220" height="278" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/6/6a/Gottfried_Wilhelm_von_Leibniz.jpg 1.5x" data-file-width="316" data-file-height="400" /></a><figcaption>Gottfried Wilhelm Leibniz</figcaption></figure> <p>17. sajandi lõpus tekkis Leibnizi ümber matemaatikute ring. </p> <div class="nomobile"><style data-mw-deduplicate="TemplateStyles:r6739384">.mw-parser-output th.mbox-text,.mw-parser-output td.mbox-text{border:none;padding:0.25em 0.9em;width:100%}.mw-parser-output td.mbox-image{border:none;padding:2px 0 2px 0.9em;text-align:center}.mw-parser-output td.mbox-imageright{border:none;padding:2px 0.9em 2px 0;text-align:center}.mw-parser-output td.mbox-empty-cell{border:none;padding:0;width:1px}.mw-parser-output table.ambox{margin:0 10%;border:1px solid #aaa;border-left:10px solid #1e90ff;background:#fbfbfb}.mw-parser-output table.ambox~table.ambox:not(.mbox-small-left){margin-top:-1px}.mw-parser-output .ambox th.mbox-text,.mw-parser-output .ambox td.mbox-text{padding:0.25em 0.5em}.mw-parser-output .ambox td.mbox-image{padding:2px 0 2px 0.5em}.mw-parser-output .ambox td.mbox-imageright{padding:2px 0.5em 2px 0}.mw-parser-output table.ambox-notice{border-left:10px solid #1e90ff}.mw-parser-output table.ambox-speedy{border-left:10px solid #b22222;background:#fee}.mw-parser-output table.ambox-delete{border-left:10px solid #b22222}.mw-parser-output table.ambox-content{border-left:10px solid #f28500}.mw-parser-output table.ambox-style{border-left:10px solid #f4c430}.mw-parser-output table.ambox-move{border-left:10px solid #9932cc}.mw-parser-output table.ambox-protection{border-left:10px solid #bba}.mw-parser-output table.imbox{margin:4px 10%;border-collapse:collapse;border:3px solid #36c;background-color:var(--background-color-interactive-subtle,#f8f9fa)}.mw-parser-output table.cmbox{margin:3px 10%;border-collapse:collapse;border:1px solid #aaa;background:#DFE8FF}.mw-parser-output table.ombox{margin:4px 10%;border-collapse:collapse;border:1px solid #a2a9b1;background-color:var(--background-color-neutral-subtle,#f8f9fa)}.mw-parser-output table.tmbox{margin:4px 10%;border-collapse:collapse;border:1px solid #c0c090;background:#f8eaba}.mw-parser-output table.fmbox{clear:both;margin:0.2em 0;width:100%;border:1px solid #aaa;background-color:var(--background-color-interactive-subtle,#f8f9fa)}.mw-parser-output table.fmbox-editnotice{background-color:transparent}.mw-parser-output table.mbox-small{clear:right;float:right;margin:4px 0 4px 1em;width:238px;font-size:88%;line-height:1.25em}.mw-parser-output table.mbox-small-left{margin:4px 1em 4px 0;width:238px;border-collapse:collapse;font-size:88%;line-height:1.25em}@media screen{html.skin-theme-clientpref-night .mw-parser-output .cmbox{background-color:#0d1a27}html.skin-theme-clientpref-night .mw-parser-output .tmbox{background-color:#2e2505}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cmbox{background-color:#0d1a27}html.skin-theme-clientpref-os .mw-parser-output .tmbox{background-color:#2e2505}}</style></div><table class="metadata plainlinks ambox ambox-notice" role="presentation"><tbody><tr><td class="mbox-image"><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Sm-Wikipuzzlepiece.png/30px-Sm-Wikipuzzlepiece.png" decoding="async" width="30" height="32" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Sm-Wikipuzzlepiece.png/45px-Sm-Wikipuzzlepiece.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Sm-Wikipuzzlepiece.png/60px-Sm-Wikipuzzlepiece.png 2x" data-file-width="113" data-file-height="119" /></span></span></td><td class="mbox-text"><div class="mbox-text-span"><b>Artikli kirjutamine on selles kohas pooleli jäänud. <a class="external text" href="https://et.wikipedia.org/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&action=edit">Jätkamine</a> on kõigile lahkesti lubatud.</b><span class="hide-when-compact"></span><span class="hide-when-compact"></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <p>"<a href="/w/index.php?title=L%C3%B5pmata_v%C3%A4ikeste_anal%C3%BC%C3%BCs&action=edit&redlink=1" class="new" title="Lõpmata väikeste analüüs (pole veel kirjutatud)">Lõpmata väikeste analüüsist</a>" hakkasid juba 18. sajandil ja 19. sajandi esimesel poolel hakkasid hargnema näiteks <a href="/w/index.php?title=Harilike_diferentsiaalv%C3%B5rrandite_teooria&action=edit&redlink=1" class="new" title="Harilike diferentsiaalvõrrandite teooria (pole veel kirjutatud)">harilike diferentsiaalvõrrandite teooria</a> (<a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Leonhard Euler</a>, <a href="/w/index.php?title=Johann_Bernoulli&action=edit&redlink=1" class="new" title="Johann Bernoulli (pole veel kirjutatud)">Johann Bernoulli</a>, <a href="/w/index.php?title=Jean_le_Rond_D%27Alembert&action=edit&redlink=1" class="new" title="Jean le Rond D'Alembert (pole veel kirjutatud)">Jean le Rond D'Alembert</a>), <a href="/w/index.php?title=Anal%C3%BC%C3%BCtiliste_funktsioonide_teooria&action=edit&redlink=1" class="new" title="Analüütiliste funktsioonide teooria (pole veel kirjutatud)">analüütiliste funktsioonide teooria</a> (<a href="/wiki/Joseph-Louis_Lagrange" title="Joseph-Louis Lagrange">Joseph-Louis Lagrange</a>, <a href="/wiki/Augustin_Louis_Cauchy" class="mw-redirect" title="Augustin Louis Cauchy">Augustin Louis Cauchy</a>, hiljem <a href="/wiki/Bernhard_Riemann" title="Bernhard Riemann">Bernhard Riemann</a>). Tänapäevase analüüsi kujunemise alguseks peetakse siiski 19. sajandi keskpaiga töid, millega formaliseeriti klassikalise matemaatilise analüüsi võtmemõisteid (<a href="/wiki/Reaalarv" title="Reaalarv">reaalarv</a>, <a href="/wiki/Funktsioon_(matemaatika)" title="Funktsioon (matemaatika)">funktsioon</a>, <a href="/wiki/Piirv%C3%A4%C3%A4rtus" title="Piirväärtus">piirväärtus</a>, <a href="/wiki/Integraal" title="Integraal">integraal</a>), eelkõige Cauchy ja <a href="/wiki/Bernard_Bolzano" title="Bernard Bolzano">Bernard Bolzano</a> töid, ning <a href="/w/index.php?title=Karl_Weierstra%C3%9F&action=edit&redlink=1" class="new" title="Karl Weierstraß (pole veel kirjutatud)">Karl Weierstraßi</a>, <a href="/w/index.php?title=Richard_Dedekind&action=edit&redlink=1" class="new" title="Richard Dedekind (pole veel kirjutatud)">Richard Dedekindi</a> ja <a href="/wiki/Georg_Cantor" title="Georg Cantor">Georg Cantori</a> 1870. ja 1880. aastate töid, mis viisid need formaliseeringud lõpule<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup>. Seoses sellega tekkisid <a href="/wiki/Reaalmuutuja_funktsioonide_teooria" title="Reaalmuutuja funktsioonide teooria">reaalmuutuja funktsioonide teooria</a> ning <a href="/wiki/Anal%C3%BC%C3%BCtiline_funktsioon" title="Analüütiline funktsioon">analüütiliste funktsioonide</a> uurimise meetodite arenedes <a href="/wiki/Kompleksmuutuja_funktsioonide_teooria" title="Kompleksmuutuja funktsioonide teooria">kompleksmuutuja funktsioonide teooria</a>. <a href="/wiki/Naiivne_hulgateooria" title="Naiivne hulgateooria">Naiivne hulgateooria</a>, mille Cantor 19. sajandi lõpus välja töötas, andis tõuke <a href="/wiki/Meetriline_ruum" title="Meetriline ruum">meetrilise ruumi</a> ja <a href="/wiki/Topoloogiline_ruum" title="Topoloogiline ruum">topoloogilise ruumi</a> mõiste kujunemisele, mis muutis oluliselt kogu analüüsi instrumentaariumi, suurendades uuritavate objektide abstraktsioonastet ja nihutades fookuse reaalarvudelt mittearvumõistetele. </p><p>20. sajandi alguses loodi peamiselt Prantsuse matemaatikakoolkonna (<a href="/w/index.php?title=Marie_Ennemond_Camille_Jordan&action=edit&redlink=1" class="new" title="Marie Ennemond Camille Jordan (pole veel kirjutatud)">Marie Ennemond Camille Jordan</a>, <a href="/w/index.php?title=%C3%89mile_Borel&action=edit&redlink=1" class="new" title="Émile Borel (pole veel kirjutatud)">Émile Borel</a>, <a href="/w/index.php?title=Nicolas_Leb%C3%A8gue&action=edit&redlink=1" class="new" title="Nicolas Lebègue (pole veel kirjutatud)">Nicolas Lebègue</a>, <a href="/w/index.php?title=Ren%C3%A9-Louis_Baire&action=edit&redlink=1" class="new" title="René-Louis Baire (pole veel kirjutatud)">René-Louis Baire</a>) jõududega <a href="/w/index.php?title=M%C3%B5%C3%B5duteooria&action=edit&redlink=1" class="new" title="Mõõduteooria (pole veel kirjutatud)">mõõduteooria</a>, tänu millele üldistati integraali mõistet ning ehitati üles <a href="/wiki/Reaalmuutuja_funktsioonide_teooria" title="Reaalmuutuja funktsioonide teooria">reaalmuutuja funktsioonide teooria</a>. 20. sajandi alguses hakkas kujunema ka tänapäeva analüüsi iseseisev haru <a href="/wiki/Funktsionaalanal%C3%BC%C3%BCs" title="Funktsionaalanalüüs">funktsionaalanalüüs</a>, mis uurib <a href="/wiki/Topoloogiline_vektorruum" title="Topoloogiline vektorruum">topoloogilisi vektorruume</a> ja nende <a href="/wiki/Kujutus" class="mw-redirect" title="Kujutus">kujutusi</a>. </p> <div class="nomobile"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r6739384"></div><table class="metadata plainlinks ambox ambox-notice" role="presentation"><tbody><tr><td class="mbox-image"><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Sm-Wikipuzzlepiece.png/30px-Sm-Wikipuzzlepiece.png" decoding="async" width="30" height="32" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Sm-Wikipuzzlepiece.png/45px-Sm-Wikipuzzlepiece.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7b/Sm-Wikipuzzlepiece.png/60px-Sm-Wikipuzzlepiece.png 2x" data-file-width="113" data-file-height="119" /></span></span></td><td class="mbox-text"><div class="mbox-text-span"><b>Artikli kirjutamine on selles kohas pooleli jäänud. <a class="external text" href="https://et.wikipedia.org/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&action=edit">Jätkamine</a> on kõigile lahkesti lubatud.</b><span class="hide-when-compact"></span><span class="hide-when-compact"></span><span class="hide-when-compact"></span></div></td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="Vaata_ka">Vaata ka</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&veaction=edit&section=4" title="Muuda alaosa "Vaata ka"" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&action=edit&section=4" title="Muuda alaosa "Vaata ka" lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Diferentsiaalarvutus" title="Diferentsiaalarvutus">Diferentsiaalarvutus</a></li> <li><a href="/wiki/Diferentsiaal" title="Diferentsiaal">Diferentsiaal</a></li> <li><a href="/w/index.php?title=Integraalarvutus&action=edit&redlink=1" class="new" title="Integraalarvutus (pole veel kirjutatud)">Integraalarvutus</a></li> <li><a href="/wiki/Integraal" title="Integraal">Integraal</a></li> <li><a href="/w/index.php?title=Ridade_teooria&action=edit&redlink=1" class="new" title="Ridade teooria (pole veel kirjutatud)">Ridade teooria</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Viited">Viited</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&veaction=edit&section=5" title="Muuda alaosa "Viited"" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&action=edit&section=5" title="Muuda alaosa "Viited" lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"> Ü. Kaasik, Matemaatikaleksikon (2002).</span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">А. Д. Александров, А. Н. Колмогоров, М. А. Лавреньтев. <i>Математика, её содержание, методы и значение</i>, М.: Издательство Академии наук СССР, 1956, kd 1, lk 55.</span> </li> </ol></div></div> <div class="mw-heading mw-heading2"><h2 id="Kirjandus">Kirjandus</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&veaction=edit&section=6" title="Muuda alaosa "Kirjandus"" class="mw-editsection-visualeditor"><span>muuda</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Matemaatiline_anal%C3%BC%C3%BCs&action=edit&section=6" title="Muuda alaosa "Kirjandus" lähteteksti"><span>muuda lähteteksti</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Г. И. Архипов, В. А. Садовничий, В. Н. Чубариков. <i>Лекции по математическому анализу: Учебник для университетов и пред. вузов</i>, 1999, lk 7.</li></ul>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Pärit leheküljelt "<a dir="ltr" href="https://et.wikipedia.org/w/index.php?title=Matemaatiline_analüüs&oldid=6652529">https://et.wikipedia.org/w/index.php?title=Matemaatiline_analüüs&oldid=6652529</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Eri:Kategooriad" title="Eri:Kategooriad">Kategooria</a>: <ul><li><a href="/wiki/Kategooria:Matemaatiline_anal%C3%BC%C3%BCs" title="Kategooria:Matemaatiline analüüs">Matemaatiline analüüs</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Peidetud kategooria: <ul><li><a href="/wiki/Kategooria:Pooleli_artiklid" title="Kategooria:Pooleli artiklid">Pooleli artiklid</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Selle lehekülje viimane muutmine: 23:51, 15. mai 2024.</li> <li id="footer-info-copyright">Tekst on kasutatav vastavalt Creative Commonsi litsentsile "<a rel="nofollow" class="external text" href="https://creativecommons.org/licenses/by-sa/4.0/deed.et">Autorile viitamine + jagamine samadel tingimustel</a>"; sellele võivad lisanduda täiendavad tingimused. 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