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href="#Cabang"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Cabang</span> </div> </a> <button aria-controls="toc-Cabang-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>Gulingkan subbagian Cabang</span> </button> <ul id="toc-Cabang-sublist" class="vector-toc-list"> <li id="toc-Analisis_klasik" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Analisis_klasik"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Analisis klasik</span> </div> </a> <ul id="toc-Analisis_klasik-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Aplikasi_teknik_analisis" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Aplikasi_teknik_analisis"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Aplikasi teknik analisis</span> </div> </a> <ul id="toc-Aplikasi_teknik_analisis-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Referensi" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Referensi"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Referensi</span> </div> </a> <ul id="toc-Referensi-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Pranala_luar" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Pranala_luar"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Pranala luar</span> </div> </a> <ul id="toc-Pranala_luar-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="Daftar isi" 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="Gulingkan daftar isi" > <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">Gulingkan daftar isi</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">Analisis matematis</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="Pergi ke artikel dalam bahasa lain. Terdapat 114 bahasa" > <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 bahasa</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 – Afrikaans" lang="af" hreflang="af" data-title="Wiskundige analise" data-language-autonym="Afrikaans" data-language-local-name="Afrikaans" 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 – Jerman (Swiss)" lang="gsw" hreflang="gsw" data-title="Analysis" data-language-autonym="Alemannisch" data-language-local-name="Jerman (Swiss)" class="interlanguage-link-target"><span>Alemannisch</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 – Aragon" lang="an" hreflang="an" data-title="Analís matematica" data-language-autonym="Aragonés" data-language-local-name="Aragon" class="interlanguage-link-target"><span>Aragonés</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 – Arab" lang="ar" hreflang="ar" data-title="تحليل رياضي" data-language-autonym="العربية" data-language-local-name="Arab" class="interlanguage-link-target"><span>العربية</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 – Assam" lang="as" hreflang="as" data-title="গাণিতিক বিশ্লেষণ" data-language-autonym="অসমীয়া" data-language-local-name="Assam" 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 – Asturia" lang="ast" hreflang="ast" data-title="Analís matemáticu" data-language-autonym="Asturianu" data-language-local-name="Asturia" 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 – Azerbaijani" lang="az" hreflang="az" data-title="Riyazi analiz" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbaijani" class="interlanguage-link-target"><span>Azərbaycanca</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) – Bashkir" lang="ba" hreflang="ba" data-title="Анализ (математика бүлеге)" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" 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 – Belarusia" lang="be" hreflang="be" data-title="Матэматычны аналіз" data-language-autonym="Беларуская" data-language-local-name="Belarusia" 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 – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Матэматычны аналіз" 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%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 – Bulgaria" lang="bg" hreflang="bg" data-title="Математически анализ" data-language-autonym="Български" data-language-local-name="Bulgaria" 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%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 – Bhojpuri" lang="bh" hreflang="bh" data-title="गणितीय बिस्लेषण" data-language-autonym="भोजपुरी" data-language-local-name="Bhojpuri" class="interlanguage-link-target"><span>भोजपुरी</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-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-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/An%C3%A0lisi_matem%C3%A0tica" title="Anàlisi matemàtica – Katalan" lang="ca" hreflang="ca" data-title="Anàlisi matemàtica" data-language-autonym="Català" data-language-local-name="Katalan" class="interlanguage-link-target"><span>Català</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 – Kurdi Sorani" lang="ckb" hreflang="ckb" data-title="شیکاریی ماتماتیکی" data-language-autonym="کوردی" data-language-local-name="Kurdi Sorani" 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/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-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Matematick%C3%A1_anal%C3%BDza" title="Matematická analýza – Cheska" lang="cs" hreflang="cs" data-title="Matematická analýza" data-language-autonym="Čeština" data-language-local-name="Cheska" class="interlanguage-link-target"><span>Čeština</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) – Chuvash" lang="cv" hreflang="cv" data-title="Анализ (математика пайĕ)" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" 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/Dadansoddiad_mathemategol" title="Dadansoddiad mathemategol – Welsh" lang="cy" hreflang="cy" data-title="Dadansoddiad mathemategol" data-language-autonym="Cymraeg" data-language-local-name="Welsh" 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 – Dansk" lang="da" hreflang="da" data-title="Matematisk analyse" data-language-autonym="Dansk" data-language-local-name="Dansk" 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 – Jerman" lang="de" hreflang="de" data-title="Analysis" data-language-autonym="Deutsch" data-language-local-name="Jerman" class="interlanguage-link-target"><span>Deutsch</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 – Zazaki" lang="diq" hreflang="diq" data-title="Analizo matematikên" data-language-autonym="Zazaki" data-language-local-name="Zazaki" class="interlanguage-link-target"><span>Zazaki</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 – Yunani" lang="el" hreflang="el" data-title="Μαθηματική ανάλυση" data-language-autonym="Ελληνικά" data-language-local-name="Yunani" 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 – Inggris" lang="en" hreflang="en" data-title="Mathematical analysis" data-language-autonym="English" data-language-local-name="Inggris" 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/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-es mw-list-item"><a href="https://es.wikipedia.org/wiki/An%C3%A1lisis_matem%C3%A1tico" title="Análisis matemático – Spanyol" lang="es" hreflang="es" data-title="Análisis matemático" data-language-autonym="Español" data-language-local-name="Spanyol" 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/Matemaatiline_anal%C3%BC%C3%BCs" title="Matemaatiline analüüs – Esti" lang="et" hreflang="et" data-title="Matemaatiline analüüs" data-language-autonym="Eesti" data-language-local-name="Esti" 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/Analisi_matematiko" title="Analisi matematiko – Basque" lang="eu" hreflang="eu" data-title="Analisi matematiko" data-language-autonym="Euskara" data-language-local-name="Basque" 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 – Persia" lang="fa" hreflang="fa" data-title="آنالیز ریاضی" data-language-autonym="فارسی" data-language-local-name="Persia" 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/Analyysi_(matematiikka)" title="Analyysi (matematiikka) – Suomi" lang="fi" hreflang="fi" data-title="Analyysi (matematiikka)" data-language-autonym="Suomi" data-language-local-name="Suomi" class="interlanguage-link-target"><span>Suomi</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) – Prancis" lang="fr" hreflang="fr" data-title="Analyse (mathématiques)" data-language-autonym="Français" data-language-local-name="Prancis" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-frr mw-list-item"><a href="https://frr.wikipedia.org/wiki/Analysis" title="Analysis – Frisia Utara" lang="frr" hreflang="frr" data-title="Analysis" data-language-autonym="Nordfriisk" data-language-local-name="Frisia Utara" class="interlanguage-link-target"><span>Nordfriisk</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 – Irlandia" lang="ga" hreflang="ga" data-title="Anailís mhatamaiticiúil" data-language-autonym="Gaeilge" data-language-local-name="Irlandia" 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%E5%88%86%E6%9E%90" title="數學分析 – Gan" lang="gan" hreflang="gan" data-title="數學分析" data-language-autonym="贛語" data-language-local-name="Gan" 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/Analiz_(mat%C3%A9matik)" title="Analiz (matématik) – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Analiz (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/Anailis_mhatamataigeach" title="Anailis mhatamataigeach – Gaelik Skotlandia" lang="gd" hreflang="gd" data-title="Anailis mhatamataigeach" data-language-autonym="Gàidhlig" data-language-local-name="Gaelik Skotlandia" 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 – Galisia" lang="gl" hreflang="gl" data-title="Análise matemática" data-language-autonym="Galego" data-language-local-name="Galisia" class="interlanguage-link-target"><span>Galego</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 – Ibrani" lang="he" hreflang="he" data-title="אנליזה מתמטית" data-language-autonym="עברית" data-language-local-name="Ibrani" 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%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-hif mw-list-item"><a href="https://hif.wikipedia.org/wiki/Mathematical_analysis" title="Mathematical analysis – Hindi Fiji" lang="hif" hreflang="hif" data-title="Mathematical analysis" data-language-autonym="Fiji Hindi" data-language-local-name="Hindi Fiji" 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/Matemati%C4%8Dka_analiza" title="Matematička analiza – Kroasia" lang="hr" hreflang="hr" data-title="Matematička analiza" data-language-autonym="Hrvatski" data-language-local-name="Kroasia" class="interlanguage-link-target"><span>Hrvatski</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 – Hungaria" lang="hu" hreflang="hu" data-title="Matematikai analízis" data-language-autonym="Magyar" data-language-local-name="Hungaria" 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%D5%AF%D5%A1%D5%B6_%D5%A1%D5%B6%D5%A1%D5%AC%D5%AB%D5%A6" title="Մաթեմատիկական անալիզ – Armenia" lang="hy" hreflang="hy" data-title="Մաթեմատիկական անալիզ" data-language-autonym="Հայերեն" data-language-local-name="Armenia" class="interlanguage-link-target"><span>Հայերեն</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-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-is mw-list-item"><a href="https://is.wikipedia.org/wiki/St%C3%A6r%C3%B0fr%C3%A6%C3%B0igreining" title="Stærðfræðigreining – Islandia" lang="is" hreflang="is" data-title="Stærðfræðigreining" data-language-autonym="Íslenska" data-language-local-name="Islandia" 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 – Italia" lang="it" hreflang="it" data-title="Analisi matematica" data-language-autonym="Italiano" data-language-local-name="Italia" 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/%E8%A7%A3%E6%9E%90%E5%AD%A6" title="解析学 – Jepang" lang="ja" hreflang="ja" data-title="解析学" data-language-autonym="日本語" data-language-local-name="Jepang" 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/Matimatikal_analisis" title="Matimatikal analisis – Jamaican Creole English" lang="jam" hreflang="jam" data-title="Matimatikal analisis" 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-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 – Georgia" lang="ka" hreflang="ka" data-title="მათემატიკური ანალიზი" data-language-autonym="ქართული" data-language-local-name="Georgia" 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 – Kazakh" lang="kk" hreflang="kk" data-title="Математикалық талдау" data-language-autonym="Қазақша" data-language-local-name="Kazakh" class="interlanguage-link-target"><span>Қазақша</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-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-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 – Kirgiz" lang="ky" hreflang="ky" data-title="Математикалык талдоо" data-language-autonym="Кыргызча" data-language-local-name="Kirgiz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Analysis_mathematica" title="Analysis mathematica – Latin" lang="la" hreflang="la" data-title="Analysis mathematica" data-language-autonym="Latina" data-language-local-name="Latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Analys_(Mathematik)" title="Analys (Mathematik) – Luksemburg" lang="lb" hreflang="lb" data-title="Analys (Mathematik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="Luksemburg" class="interlanguage-link-target"><span>Lëtzebuergesch</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-lij mw-list-item"><a href="https://lij.wikipedia.org/wiki/Analixi_matematica" title="Analixi matematica – Liguria" lang="lij" hreflang="lij" data-title="Analixi matematica" data-language-autonym="Ligure" data-language-local-name="Liguria" class="interlanguage-link-target"><span>Ligure</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Analisi_matematega" title="Analisi matematega – Lombard" lang="lmo" hreflang="lmo" data-title="Analisi 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%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-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Matematin%C4%97_analiz%C4%97" title="Matematinė analizė – Lituavi" lang="lt" hreflang="lt" data-title="Matematinė analizė" data-language-autonym="Lietuvių" data-language-local-name="Lituavi" 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%81tisk%C4%81_anal%C4%ABze" title="Matemātiskā analīze – Latvi" lang="lv" hreflang="lv" data-title="Matemātiskā analīze" data-language-autonym="Latviešu" data-language-local-name="Latvi" class="interlanguage-link-target"><span>Latviešu</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 – Makedonia" lang="mk" hreflang="mk" data-title="Математичка анализа" data-language-autonym="Македонски" data-language-local-name="Makedonia" 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) – Malayalam" lang="ml" hreflang="ml" data-title="അനാലിസിസ് (ഗണിതം)" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Analisis_matematik" title="Analisis matematik – Melayu" lang="ms" hreflang="ms" data-title="Analisis matematik" data-language-autonym="Bahasa Melayu" data-language-local-name="Melayu" 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/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 – Burma" lang="my" hreflang="my" data-title="ခွဲခြမ်းစိတ်ဖြာသင်္ချာ" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="Burma" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Analysis" title="Analysis – Jerman Rendah" lang="nds" hreflang="nds" data-title="Analysis" data-language-autonym="Plattdüütsch" data-language-local-name="Jerman Rendah" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Analyse_(wiskunde)" title="Analyse (wiskunde) – Belanda" lang="nl" hreflang="nl" data-title="Analyse (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="Belanda" 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/Matematisk_analyse" title="Matematisk analyse – Nynorsk Norwegia" lang="nn" hreflang="nn" data-title="Matematisk analyse" data-language-autonym="Norsk nynorsk" data-language-local-name="Nynorsk Norwegia" 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/Matematisk_analyse" title="Matematisk analyse – Bokmål Norwegia" lang="nb" hreflang="nb" data-title="Matematisk analyse" data-language-autonym="Norsk bokmål" data-language-local-name="Bokmål Norwegia" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Analisi_matematica" title="Analisi matematica – Ositania" lang="oc" hreflang="oc" data-title="Analisi matematica" data-language-autonym="Occitan" data-language-local-name="Ositania" class="interlanguage-link-target"><span>Occitan</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 – Punjabi" lang="pa" hreflang="pa" data-title="ਗਣਿਤ ਵਿਸ਼ਲੇਸ਼ਣ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="Punjabi" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Analiza_matematyczna" title="Analiza matematyczna – Polski" lang="pl" hreflang="pl" data-title="Analiza matematyczna" data-language-autonym="Polski" data-language-local-name="Polski" 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/An%C3%A0lisi_matem%C3%A0tica" title="Anàlisi matemàtica – Piedmontese" lang="pms" hreflang="pms" data-title="Anàlisi 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/%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 – Western Punjabi" lang="pnb" hreflang="pnb" data-title="میتھمیٹیکل انیلیسز" data-language-autonym="پنجابی" data-language-local-name="Western Punjabi" class="interlanguage-link-target"><span>پنجابی</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 – Portugis" lang="pt" hreflang="pt" data-title="Análise matemática" data-language-autonym="Português" data-language-local-name="Portugis" 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 – Rumania" lang="ro" hreflang="ro" data-title="Analiza matematică" data-language-autonym="Română" data-language-local-name="Rumania" class="interlanguage-link-target"><span>Română</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) – Rusia" lang="ru" hreflang="ru" data-title="Анализ (раздел математики)" data-language-autonym="Русский" data-language-local-name="Rusia" 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%D1%87%D0%BD%D0%B0_%D0%B0%D0%BD%D0%B0%D0%BB%D1%96%D0%B7%D0%B0" title="Математічна аналіза – Rusyn" lang="rue" hreflang="rue" data-title="Математічна аналіза" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</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) – Sisilia" lang="scn" hreflang="scn" data-title="Anàlisi (matimàtica)" data-language-autonym="Sicilianu" data-language-local-name="Sisilia" 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/Mathematical_analysis" title="Mathematical analysis – Skotlandia" lang="sco" hreflang="sco" data-title="Mathematical analysis" data-language-autonym="Scots" data-language-local-name="Skotlandia" class="interlanguage-link-target"><span>Scots</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 – Serbo-Kroasia" lang="sh" hreflang="sh" data-title="Matematička analiza" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="Serbo-Kroasia" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</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 – Sinhala" lang="si" hreflang="si" data-title="ගණිතමය විශ්ලේෂණය" data-language-autonym="සිංහල" data-language-local-name="Sinhala" 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 – Simple English" lang="en-simple" hreflang="en-simple" data-title="Mathematical analysis" 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/Matematick%C3%A1_anal%C3%BDza" title="Matematická analýza – Slovak" lang="sk" hreflang="sk" data-title="Matematická analýza" data-language-autonym="Slovenčina" data-language-local-name="Slovak" 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 – Sloven" lang="sl" hreflang="sl" data-title="Matematična analiza" data-language-autonym="Slovenščina" data-language-local-name="Sloven" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Analiza_matematikore" title="Analiza matematikore – Albania" lang="sq" hreflang="sq" data-title="Analiza matematikore" data-language-autonym="Shqip" data-language-local-name="Albania" 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%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-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Matematisk_analys" title="Matematisk analys – Swedia" lang="sv" hreflang="sv" data-title="Matematisk analys" data-language-autonym="Svenska" data-language-local-name="Swedia" 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/Uchambuzi_wa_kihisabati" title="Uchambuzi wa kihisabati – Swahili" lang="sw" hreflang="sw" data-title="Uchambuzi wa kihisabati" data-language-autonym="Kiswahili" data-language-local-name="Swahili" class="interlanguage-link-target"><span>Kiswahili</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) – Tamil" lang="ta" hreflang="ta" data-title="பகுவியல் (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</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 – Thai" lang="th" hreflang="th" data-title="คณิตวิเคราะห์" data-language-autonym="ไทย" data-language-local-name="Thai" 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/Analiz" title="Analiz – Turkmen" lang="tk" hreflang="tk" data-title="Analiz" data-language-autonym="Türkmençe" data-language-local-name="Turkmen" 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/Pagsusuring_matematikal" title="Pagsusuring matematikal – Tagalog" lang="tl" hreflang="tl" data-title="Pagsusuring matematikal" data-language-autonym="Tagalog" data-language-local-name="Tagalog" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Analiz_(matematik)" title="Analiz (matematik) – Turki" lang="tr" hreflang="tr" data-title="Analiz (matematik)" data-language-autonym="Türkçe" data-language-local-name="Turki" 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/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-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 – Tatar" lang="tt" hreflang="tt" data-title="Математик анализ" data-language-autonym="Татарча / tatarça" data-language-local-name="Tatar" class="interlanguage-link-target"><span>Татарча / tatarça</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-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Matematik_analiz" title="Matematik analiz – Uzbek" lang="uz" hreflang="uz" data-title="Matematik analiz" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Uzbek" 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/An%C3%A0%C5%82ixi_matem%C3%A0tica" title="Anàłixi matemàtica – Venesia" lang="vec" hreflang="vec" data-title="Anàłixi matemàtica" data-language-autonym="Vèneto" data-language-local-name="Venesia" 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) – Veps" lang="vep" hreflang="vep" data-title="Analiz (matematikan jaguz)" 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 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 – Vietnam" lang="vi" hreflang="vi" data-title="Giải tích toán học" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnam" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Analisis_matematikal" title="Analisis matematikal – Warai" lang="war" hreflang="war" data-title="Analisis matematikal" data-language-autonym="Winaray" data-language-local-name="Warai" 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 – Wu Tionghoa" lang="wuu" hreflang="wuu" data-title="数学分析" data-language-autonym="吴语" data-language-local-name="Wu Tionghoa" class="interlanguage-link-target"><span>吴语</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 – Yiddish" lang="yi" hreflang="yi" data-title="מאטעמאטישער אנאליז" data-language-autonym="ייִדיש" data-language-local-name="Yiddish" 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 – Yoruba" lang="yo" hreflang="yo" data-title="Ìtúwò Mathimátíìkì" data-language-autonym="Yorùbá" data-language-local-name="Yoruba" class="interlanguage-link-target"><span>Yorùbá</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 – Tionghoa" lang="zh" hreflang="zh" data-title="数学分析" data-language-autonym="中文" data-language-local-name="Tionghoa" 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/%E5%88%86%E6%9E%90%E5%AD%B8" title="分析學 – Literary Chinese" lang="lzh" hreflang="lzh" data-title="分析學" 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-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 – Kanton" lang="yue" hreflang="yue" data-title="數學分析" data-language-autonym="粵語" data-language-local-name="Kanton" class="interlanguage-link-target"><span>粵語</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="Sunting pranala interwiki" class="wbc-editpage">Sunting pranala</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="Ruang nama"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div 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mw-parser-output" lang="id" dir="ltr"><figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Berkas:%22Bow-tie%22_diagram_of_components_in_a_directed_network.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/%22Bow-tie%22_diagram_of_components_in_a_directed_network.jpg/220px-%22Bow-tie%22_diagram_of_components_in_a_directed_network.jpg" decoding="async" width="220" height="175" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/03/%22Bow-tie%22_diagram_of_components_in_a_directed_network.jpg/330px-%22Bow-tie%22_diagram_of_components_in_a_directed_network.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/03/%22Bow-tie%22_diagram_of_components_in_a_directed_network.jpg/440px-%22Bow-tie%22_diagram_of_components_in_a_directed_network.jpg 2x" data-file-width="1673" data-file-height="1333" /></a><figcaption>Diagram "dasi kupu-kupu" dari komponen-komponen dalam jaringan terarah</figcaption></figure> <p><b>Analisis matematis</b> adalah cabang ilmu <a href="/wiki/Matematika" title="Matematika">matematika</a> yang mencakup teori <a href="/wiki/Turunan" title="Turunan">turunan</a>, <a href="/wiki/Integral" title="Integral">integral</a>, <a href="/wiki/Ukuran_(matematika)" title="Ukuran (matematika)">ukuran</a>, <a href="/wiki/Limit" class="mw-disambig" title="Limit">limit</a>, <a href="/wiki/Deret_(matematika)" title="Deret (matematika)">deret</a>,<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> dan <a href="/wiki/Analisis_fungsional" title="Analisis fungsional">analisis fungsional</a>. Teori ini biasanya dipelajari dalam konteks <a href="/wiki/Bilangan_riil" title="Bilangan riil">bilangan riil</a> dan <a href="/wiki/Bilangan_kompleks" title="Bilangan kompleks">bilangan kompleks</a> dan <a href="/wiki/Fungsi_(matematika)" title="Fungsi (matematika)">fungsi</a>. Analisis ini dikembangkan dari <a href="/wiki/Kalkulus" title="Kalkulus">kalkulus</a>, yang mencakup konsep dasar dan teknik analisis. Analisis ini dapat dibedakan dari <a href="/wiki/Geometri" title="Geometri">geometri</a>. Namun, analisis ini dapat diterapkan di seluruh <a href="/wiki/Ruang_(matematika)" title="Ruang (matematika)">ruang</a> objek matematika yang memiliki definisi kedekatan (<a href="/wiki/Ruang_topologi" class="mw-redirect" title="Ruang topologi">ruang topologi</a>) atau jarak tertentu di antara objek (<a href="/wiki/Ruang_metrik" title="Ruang metrik">ruang metrik</a>). </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Sejarah">Sejarah</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisis_matematis&veaction=edit&section=1" title="Sunting bagian: Sejarah" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisis_matematis&action=edit&section=1" title="Sunting kode sumber bagian: Sejarah"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Analisis matematis sudah ada sejak awal zaman matematika Yunani kuno. Sebagai contoh, suatu jumlah geometris yang terbatas tersirat dalam <a href="/wiki/Paradoks_Zeno" title="Paradoks Zeno">paradoks</a> <a href="/wiki/Zeno_dari_Elea" title="Zeno dari Elea">Zeno</a>.<sup id="cite_ref-Stillwell_Infinite_Series_Early_Results_2-0" class="reference"><a href="#cite_note-Stillwell_Infinite_Series_Early_Results-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Menyusul <a href="/wiki/Matematika_Yunani" title="Matematika Yunani">matematikawan Yunani</a> seperti <a href="/wiki/Eudoksos_dari_Knidos" title="Eudoksos dari Knidos">Eudoxus</a> and <a href="/wiki/Archimedes" title="Archimedes">Archimedes</a> menjadikannya lebih eksplisit, tetapi tidak formal, menggunakan konsep <a href="/wiki/Limit" class="mw-disambig" title="Limit">limit</a> dan konvergensi saat mereka menggunakan <a href="/wiki/Metode_penghabis" title="Metode penghabis">metode penghabis</a> untuk menghitung luas bangun datar dan volume bangun ruang.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> Di <a href="/wiki/India" title="India">India</a>, <a href="/wiki/Matematikawan" title="Matematikawan">matematikawan</a> abad ke-12 <a href="/wiki/Bh%C4%81skara_II" title="Bhāskara II">Bhāskara II</a> memberi contoh tentang <a href="/wiki/Turunan" title="Turunan">turunan</a> dan menggunakan konsep seperti yang sekarang dikenal dengan nama <a href="/wiki/Teorema_Rolle" title="Teorema Rolle">Teorema Rolle</a>. </p><p>Pada abad ke-14, <a href="/wiki/Madhava_dari_Sangamagrama" title="Madhava dari Sangamagrama">Madhava dari Sangamagrama</a> mengembangkan <a href="/wiki/Deret_(matematika)" title="Deret (matematika)">deret tak hingga</a>, seperti <a href="/wiki/Deret_pangkat" title="Deret pangkat">deret pangkat</a> dan <a href="/wiki/Deret_Taylor" title="Deret Taylor">deret taylor</a> sebagai fungsi seperti <a href="/wiki/Sinus" class="mw-redirect mw-disambig" title="Sinus">sinus</a>, <a href="/wiki/Kosinus" class="mw-redirect" title="Kosinus">kosinus</a>, <a href="/wiki/Tangen" title="Tangen">tangen</a> dan <a href="/wiki/Kotangen" title="Kotangen">kotangen</a>. Disamping pengembangan deret taylor dari <a href="/wiki/Fungsi_trigonometrik" class="mw-redirect" title="Fungsi trigonometrik">fungsi trigonometrik</a>, ia juga mengestimasikan besarnya <a href="/wiki/Galat" title="Galat">galat</a> yang dihasilkan dengan memotong deret dan memberikan perkiraan yang rasional pada sebuah deret tak tak hingga. Pengikutnya di <a href="/wiki/Mazhab_astronomi_dan_matematika_Kerala" title="Mazhab astronomi dan matematika Kerala">mazhab astronomi dan matematika Kerala</a> melanjutkan karyanya hingga abad ke-16. </p><p>Di <a href="/wiki/Eropa" title="Eropa">Eropa</a>, pada akhir abad ke-17, <a href="/wiki/Isaac_Newton" title="Isaac Newton">Newton</a> dan <a href="/wiki/Gottfried_Leibniz" title="Gottfried Leibniz">Leibniz</a> secara independen mengembangkan <a href="/wiki/Kalkulus" title="Kalkulus">kalkulus infinitesimal</a>, yang berkembang, dengan stimulus kerja terapan yang terus berlanjut sampai abad ke-18, menjadi topik analisis seperti <a href="/wiki/Kalkulus" title="Kalkulus">kalkulus variasi</a>, <a href="/wiki/Persamaan_diferensial_biasa" title="Persamaan diferensial biasa">persamaan diferensial biasa</a> dan <a href="/wiki/Persamaan_diferensial_parsial" title="Persamaan diferensial parsial">persamaan diferensial parsial</a>, <a href="/wiki/Analisis_fourier" class="mw-redirect" title="Analisis fourier">analisis fourier</a>, dan <a href="/wiki/Fungsi_pembangkit" title="Fungsi pembangkit">fungsi pembangkit</a>. Dalam periode ini, teknik kalkulus digunakan untuk memperkirakan <a href="/wiki/Matematika_diskret" class="mw-redirect" title="Matematika diskret">masalah diskret</a> melalui pendekatan <a href="/wiki/Analisis_numeris" class="mw-redirect" title="Analisis numeris">numerik</a>. </p><p>Pada abad ke-18, <a href="/wiki/Leonhard_Euler" title="Leonhard Euler">Euler</a> memperkenalkan konsep <a href="/wiki/Fungsi_(matematika)" title="Fungsi (matematika)">fungsi matematika</a>.<sup id="cite_ref-function_4-0" class="reference"><a href="#cite_note-function-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> Analisis yang sesungguhnya mulai muncul sebagai subjek independen saat <a href="/wiki/Bernard_Bolzano" title="Bernard Bolzano">Bernard Bolzano</a> memperkenalkan definisi <a href="/wiki/Fungsi_kontinu" title="Fungsi kontinu">kontinuitas</a> pada tahun 1816,<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> tetapi hasil kerjanya tidak dikenal luas sampai tahun 1870. Pada 1821, <a href="/wiki/Augustin_Louis_Cauchy" title="Augustin Louis Cauchy">Cauchy</a> mulai menempatkan kalkulus pada landasan yang kuat dengan menolak prinsip <a href="/wiki/Aljabar" title="Aljabar">aljabar umum</a> yang secara luas digunakan dalam karya sebelumnya, terutama oleh Euler. Sebaliknya, Cauchy merumuskan kalkulus dalam bentuk ide geometris dan <a href="/wiki/Infinitesimal" title="Infinitesimal">infinitesimal</a>. Dengan demikian, apa yang ia definisikan sebagai kontinuitas memerlukan suatu perubahan kecil dalam "x" sesuai dengan perubahan kecil dalam "y". Ia juga memperkenalkan konsep <a href="/w/index.php?title=Urutan_Cauchy&action=edit&redlink=1" class="new" title="Urutan Cauchy (halaman belum tersedia)">urutan cauchy</a>, dan memulai teori formal <a href="/wiki/Analisis_kompleks" title="Analisis kompleks">analisis kompleks</a>. <a href="/wiki/Sim%C3%A9on_Denis_Poisson" title="Siméon Denis Poisson">Poisson</a>, <a href="/w/index.php?title=Joseph_Liouville&action=edit&redlink=1" class="new" title="Joseph Liouville (halaman belum tersedia)">Liouville</a>, <a href="/wiki/Jean_Baptiste_Joseph_Fourier" class="mw-redirect" title="Jean Baptiste Joseph Fourier">Fourier</a> dan lainnya mempelajari persamaan diferensial parsial dan <a href="/wiki/Analisis_Fourier" title="Analisis Fourier">analisis harmonik</a>. Kontribusi para matematikawan ini termasuk juga <a href="/wiki/Karl_Weierstrass" title="Karl Weierstrass">Weierstrass</a>, mengembangkan pendekatan <a href="/wiki/Definisi_limit_(%CE%B5,_%CE%B4)" title="Definisi limit (ε, δ)">definisi limit (ε, δ)</a> membuka babak baru bidang analisis matematis modern. </p><p>Pada pertengahan abad, <a href="/wiki/Georg_Friedrich_Bernhard_Riemann" title="Georg Friedrich Bernhard Riemann">Riemann</a> memperkenalkan teorinya mengenai <a href="/wiki/Integral" title="Integral">integral</a>. Pada akhir abad ke-19 melihat analisis <a href="/wiki/Aritmetika" title="Aritmetika">aritmetika</a> oleh <a href="/wiki/Karl_Weierstrass" title="Karl Weierstrass">Weierstrass</a>, yang berikir bahwa ada kekeliruan pemahaman mengenai penalaran geometris, dan ia memperkenalkan <a href="/wiki/Definisi_limit_(%CE%B5,_%CE%B4)" title="Definisi limit (ε, δ)">definisi limit (ε, δ)</a> dari <a href="/wiki/Limit_fungsi" title="Limit fungsi">limit</a>. Hal ini mengakibatkan matematikawan khawatir bahwa mereka mengasumsikan adanya <a href="/w/index.php?title=Kontinum&action=edit&redlink=1" class="new" title="Kontinum (halaman belum tersedia)">kontinum</a> <a href="/wiki/Bilangan_riil" title="Bilangan riil">bilangan riil</a> tanpa bukti. <a href="/wiki/Richard_Dedekind" title="Richard Dedekind">Dedekind</a> kemudian menyusun bilangan riil dengan <a href="/w/index.php?title=Potongan_dedekind&action=edit&redlink=1" class="new" title="Potongan dedekind (halaman belum tersedia)">potongan dedekind</a>, di mana <a href="/wiki/Bilangan_irasional" title="Bilangan irasional">bilangan irasional</a> didefinisikan secara formal, yang berfungsi untuk mengisi "celah" di antara <a href="/wiki/Bilangan_rasional" title="Bilangan rasional">bilangan rasional</a>, sehingga menciptakan satu set kontinum bilangan riil yang telah dikembangkan oleh <a href="/w/index.php?title=Simon_Stevin&action=edit&redlink=1" class="new" title="Simon Stevin (halaman belum tersedia)">Simon Stevin</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Cabang">Cabang</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisis_matematis&veaction=edit&section=2" title="Sunting bagian: Cabang" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisis_matematis&action=edit&section=2" title="Sunting kode sumber bagian: Cabang"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Analisis matematis mencakup cabang berikut: </p> <ul><li><a href="/wiki/Persamaan_diferensial" title="Persamaan diferensial">Persamaan diferensial</a></li> <li><a href="/wiki/Analisis_riil" title="Analisis riil">Analisis riil</a> <ul><li><a href="/w/index.php?title=Kalkulus_multivariat&action=edit&redlink=1" class="new" title="Kalkulus multivariat (halaman belum tersedia)">Kalkulus multivariat</a></li> <li><a href="/w/index.php?title=Kalkulus_skala_waktu&action=edit&redlink=1" class="new" title="Kalkulus skala waktu (halaman belum tersedia)">Kalkulus skala waktu</a></li></ul></li> <li><a href="/wiki/Ukuran_(matematika)" title="Ukuran (matematika)">Teori pengukuran</a></li> <li><a href="/wiki/Kalkulus_vektor" title="Kalkulus vektor">Kalkulus vektor</a></li> <li><a href="/wiki/Analisis_fungsional" title="Analisis fungsional">Analisis fungsional</a></li> <li><a href="/w/index.php?title=Kalkulus_variasi&action=edit&redlink=1" class="new" title="Kalkulus variasi (halaman belum tersedia)">Kalkulus variasi</a></li> <li><a href="/wiki/Analisis_Fourier" title="Analisis Fourier">Analisis fourier</a></li> <li><a href="/w/index.php?title=Analisis_geometri&action=edit&redlink=1" class="new" title="Analisis geometri (halaman belum tersedia)">Analisis geometri</a></li> <li><a href="/wiki/Analisis_kompleks" title="Analisis kompleks">Analisis kompleks</a></li> <li><a href="/w/index.php?title=Analisis_Clifford&action=edit&redlink=1" class="new" title="Analisis Clifford (halaman belum tersedia)">Analisis Clifford</a></li> <li><a href="/w/index.php?title=Analisis_p-adic&action=edit&redlink=1" class="new" title="Analisis p-adic (halaman belum tersedia)">Analisis p-adic</a></li> <li><a href="/w/index.php?title=Analisis_non_standar&action=edit&redlink=1" class="new" title="Analisis non standar (halaman belum tersedia)">Analisis non standar</a></li> <li><a href="/wiki/Analisis_numeris" class="mw-redirect" title="Analisis numeris">Analisis numeris</a></li> <li><a href="/w/index.php?title=Analisis_komputasi&action=edit&redlink=1" class="new" title="Analisis komputasi (halaman belum tersedia)">Analisis komputasi</a></li> <li><a href="/w/index.php?title=Kalkulus_stochastic&action=edit&redlink=1" class="new" title="Kalkulus stochastic (halaman belum tersedia)">Kalkulus stochastic</a></li> <li><a href="/w/index.php?title=Analisis_multi_fungsi&action=edit&redlink=1" class="new" title="Analisis multi fungsi (halaman belum tersedia)">Analisis multi fungsi</a></li> <li><a href="/w/index.php?title=Analisis_convex&action=edit&redlink=1" class="new" title="Analisis convex (halaman belum tersedia)">Analisis convex</a></li> <li><a href="/w/index.php?title=Analisis_tropikal&action=edit&redlink=1" class="new" title="Analisis tropikal (halaman belum tersedia)">Analisis tropikal</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Analisis_klasik">Analisis klasik</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisis_matematis&veaction=edit&section=3" title="Sunting bagian: Analisis klasik" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisis_matematis&action=edit&section=3" title="Sunting kode sumber bagian: Analisis klasik"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Analisis klasik biasanya dipahami sebagai suatu analisis yang tidak menggunakan teknik analisis fungsional, serta menggunakan metode yang lebih tradisional. Studi tentang <a href="/wiki/Persamaan_diferensial" title="Persamaan diferensial">persamaan diferensial</a> sekarang berbagi dengan bidang lain seperti <a href="/wiki/Teori_sistem_dinamis" class="mw-redirect" title="Teori sistem dinamis">teori sistem dinamis</a>, meskipun beririsan dengan analisis konvensional masih cukup besar. </p> <div class="mw-heading mw-heading3"><h3 id="Aplikasi_teknik_analisis">Aplikasi teknik analisis</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisis_matematis&veaction=edit&section=4" title="Sunting bagian: Aplikasi teknik analisis" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisis_matematis&action=edit&section=4" title="Sunting kode sumber bagian: Aplikasi teknik analisis"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Teknik dari analisis ini juga ditemukan di berbagai area seperti: </p> <ul><li><a href="/w/index.php?title=Analisis_teori_bilangan&action=edit&redlink=1" class="new" title="Analisis teori bilangan (halaman belum tersedia)">Analisis teori bilangan</a></li> <li><a href="/w/index.php?title=Analisis_kombinasi&action=edit&redlink=1" class="new" title="Analisis kombinasi (halaman belum tersedia)">Analisis kombinasi</a></li> <li><a href="/wiki/Sebaran_probabilitas" title="Sebaran probabilitas">Probabilitas kontinu</a></li> <li><a href="/w/index.php?title=Entropi_diferensial&action=edit&redlink=1" class="new" title="Entropi diferensial (halaman belum tersedia)">Entropi diferensial</a> dalam teori informasi</li> <li><a href="/w/index.php?title=Permainan_diferensial&action=edit&redlink=1" class="new" title="Permainan diferensial (halaman belum tersedia)">Permainan diferensial</a></li> <li><a href="/wiki/Geometri_diferensial" title="Geometri diferensial">Geometri diferensial</a></li> <li><a href="/w/index.php?title=Topologi_diferensial&action=edit&redlink=1" class="new" title="Topologi diferensial (halaman belum tersedia)">Topologi diferensial</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Referensi">Referensi</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisis_matematis&veaction=edit&section=5" title="Sunting bagian: Referensi" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisis_matematis&action=edit&section=5" title="Sunting kode sumber bagian: Referensi"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r18833634">.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-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text">Edwin Hewitt and Karl Stromberg, "Real and Abstract Analysis", Springer-Verlag, 1965</span> </li> <li id="cite_note-Stillwell_Infinite_Series_Early_Results-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-Stillwell_Infinite_Series_Early_Results_2-0">^</a></b></span> <span class="reference-text"><cite class="citation book"><a href="/w/index.php?title=John_Stillwell&action=edit&redlink=1" class="new" title="John Stillwell (halaman belum tersedia)">Stillwell</a> (2004). "Infinite Series". hlm. 170. <q>Infinite series were present in Greek mathematics, [...] There is no question that Zeno's paradox of the dichotomy (Section 4.1), for example, concerns the decomposition of the number 1 into the infinite series <sup>1</sup>⁄<sub>2</sub> + <sup>1</sup>⁄<sub>2</sub><sup>2</sup> + <sup>1</sup>⁄<sub>2</sub><sup>3</sup> + <sup>1</sup>⁄<sub>2</sub><sup>4</sup> + ... and that Archimedes found the area of the parabolic segment (Section 4.4) essentially by summing the infinite series 1 + <sup>1</sup>⁄<sub>4</sub> + <sup>1</sup>⁄<sub>4</sub><sup>2</sup> + <sup>1</sup>⁄<sub>4</sub><sup>3</sup> + ... = <sup>4</sup>⁄<sub>3</sub>. Both these examples are special cases of the result we express as summation of a geometric series</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Infinite+Series&rft.pages=170&rft.date=2004&rft.au=Stillwell&rfr_id=info%3Asid%2Fid.wikipedia.org%3AAnalisis+matematis" class="Z3988"><span style="display:none;"> </span></span> <span style="font-size:100%" class="error citation-comment">Tidak memiliki atau tanpa <code style="color:inherit; border:inherit; padding:inherit;">|title=</code> (<a href="/wiki/Bantuan:Galat_CS1#citation_missing_title" title="Bantuan:Galat CS1">bantuan</a>)</span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text">(Smith, 1958)</span> </li> <li id="cite_note-function-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-function_4-0">^</a></b></span> <span class="reference-text"><cite class="citation book">Dunham, William (1999). <i>Euler: The Master of Us All</i>. The Mathematical Association of America. hlm. 17.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Euler%3A+The+Master+of+Us+All&rft.pages=17&rft.pub=The+Mathematical+Association+of+America&rft.date=1999&rft.aulast=Dunham&rft.aufirst=William&rfr_id=info%3Asid%2Fid.wikipedia.org%3AAnalisis+matematis" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text">*<cite class="citation book"><a href="/w/index.php?title=Roger_Cooke&action=edit&redlink=1" class="new" title="Roger Cooke (halaman belum tersedia)">Cooke, Roger</a> (1997). "Beyond the Calculus". <a rel="nofollow" class="external text" href="https://archive.org/details/historyofmathema0000cook"><i>The History of Mathematics: A Brief Course</i></a>. Wiley-Interscience. hlm. <a rel="nofollow" class="external text" href="https://archive.org/details/historyofmathema0000cook/page/379">379</a>. <a href="/wiki/International_Standard_Book_Number" class="mw-redirect" title="International Standard Book Number">ISBN</a> <a href="/wiki/Istimewa:Sumber_buku/0-471-18082-3" title="Istimewa:Sumber buku/0-471-18082-3">0-471-18082-3</a>. <q>Real analysis began its growth as an independent subject with the introduction of the modern definition of continuity in 1816 by the Czech mathematician Bernard Bolzano (1781–1848)</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=bookitem&rft.atitle=Beyond+the+Calculus&rft.btitle=The+History+of+Mathematics%3A+A+Brief+Course&rft.pages=379&rft.pub=Wiley-Interscience&rft.date=1997&rft.isbn=0-471-18082-3&rft.aulast=Cooke&rft.aufirst=Roger&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fhistoryofmathema0000cook&rfr_id=info%3Asid%2Fid.wikipedia.org%3AAnalisis+matematis" class="Z3988"><span style="display:none;"> </span></span></span> </li> </ol></div></div> <ul><li>Aleksandrov, A. D., Kolmogorov, A. N., Lavrent'ev, M. A. (eds.). 1984. <i>Mathematics, its Content, Methods, and Meaning</i>. 2nd ed. Translated by S. H. Gould, K. A. Hirsch and T. Bartha; translation edited by S. H. Gould. MIT Press; published in cooperation with the American Mathematical Society.</li> <li>Apostol, Tom M. 1974. <i>Mathematical Analysis</i>. 2nd ed. Addison–Wesley. <a href="/wiki/Istimewa:Sumber_buku/9780201002881" class="internal mw-magiclink-isbn">ISBN 978-0-201-00288-1</a>.</li> <li>Binmore, K.G. 1980–1981. <i>The foundations of analysis: a straightforward introduction</i>. 2 volumes. Cambridge University Press.</li> <li>Johnsonbaugh, Richard, & W. E. Pfaffenberger. 1981. <i>Foundations of mathematical analysis</i>. New York: M. Dekker.</li> <li>Nikol'skii, S. M. 2002. <a rel="nofollow" class="external text" href="http://eom.springer.de/M/m062610.htm">"Mathematical analysis"</a>. In <a rel="nofollow" class="external text" href="http://eom.springer.de/default.htm"><i>Encyclopaedia of Mathematics</i></a>, Michiel Hazewinkel (editor). Springer-Verlag. <a href="/wiki/Istimewa:Sumber_buku/1402006098" class="internal mw-magiclink-isbn">ISBN 1-4020-0609-8</a>.</li> <li>Rombaldi, Jean-Étienne. 2004. <i>Éléments d'analyse réelle: CAPES et agrégation interne de mathématiques</i>. EDP Sciences. <a href="/wiki/Istimewa:Sumber_buku/286883681X" class="internal mw-magiclink-isbn">ISBN 2-86883-681-X</a>.</li> <li><a href="/w/index.php?title=Walter_Rudin&action=edit&redlink=1" class="new" title="Walter Rudin (halaman belum tersedia)">Rudin, Walter</a>. 1976. <i>Principles of Mathematical Analysis</i>. McGraw–Hill Publishing Co.; 3rd revised edition (September 1, 1976), <a href="/wiki/Istimewa:Sumber_buku/9780070856134" class="internal mw-magiclink-isbn">ISBN 978-0-07-085613-4</a>.</li> <li>Smith, David E. 1958. <i>History of Mathematics</i>. Dover Publications. <a href="/wiki/Istimewa:Sumber_buku/0486204308" class="internal mw-magiclink-isbn">ISBN 0-486-20430-8</a>.</li> <li>Stillwell, John. 2004. <i>Mathematics and its History</i>. 2nd ed. Springer Science + Business Media Inc. <a href="/wiki/Istimewa:Sumber_buku/0387953361" class="internal mw-magiclink-isbn">ISBN 0-387-95336-1</a>.</li> <li><a href="/w/index.php?title=E._T._Whittaker&action=edit&redlink=1" class="new" title="E. T. Whittaker (halaman belum tersedia)">Whittaker, E. T.</a> and <a href="/w/index.php?title=G._N._Watson&action=edit&redlink=1" class="new" title="G. N. Watson (halaman belum tersedia)">Watson, G. N.</a>. 1927. <i><a href="/w/index.php?title=Whittaker_and_Watson&action=edit&redlink=1" class="new" title="Whittaker and Watson (halaman belum tersedia)">A Course of Modern Analysis</a></i>. 4th edition. Cambridge University Press. <a href="/wiki/Istimewa:Sumber_buku/0521588073" class="internal mw-magiclink-isbn">ISBN 0-521-58807-3</a>.</li> <li><a rel="nofollow" class="external free" href="http://www.math.harvard.edu/~ctm/home/text/class/harvard/114/07/html/home/course/course.pdf">http://www.math.harvard.edu/~ctm/home/text/class/harvard/114/07/html/home/course/course.pdf</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Pranala_luar">Pranala luar</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Analisis_matematis&veaction=edit&section=6" title="Sunting bagian: Pranala luar" class="mw-editsection-visualeditor"><span>sunting</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Analisis_matematis&action=edit&section=6" title="Sunting kode sumber bagian: Pranala luar"><span>sunting sumber</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span style="font-size:0.95em; font-weight:bold; color:#777; cursor:help;" title="Bahasa Inggris" lang="Inggris">(Inggris)</span> <a rel="nofollow" class="external text" href="http://www.economics.soton.ac.uk/staff/aldrich/Calculus%20and%20Analysis%20Earliest%20Uses.htm">Earliest Known Uses of Some of the Words of Mathematics: Calculus & Analysis</a></li> <li><span style="font-size:0.95em; font-weight:bold; color:#777; cursor:help;" title="Bahasa Inggris" lang="Inggris">(Inggris)</span> <a rel="nofollow" class="external text" href="http://www.jirka.org/ra/">Basic Analysis: Introduction to Real Analysis</a> by Jiri Lebl (<a href="/wiki/Creative_Commons" title="Creative Commons">Creative Commons BY-NC-SA</a>)</li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r23782733">.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 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kompleks</a></li> <li><a href="/wiki/Analisis_real" class="mw-redirect" title="Analisis real">Analisis real</a></li> <li><a href="/wiki/Persamaan_diferensial" title="Persamaan diferensial">Persamaan diferensial</a></li> <li><a href="/wiki/Ukuran_(matematika)" title="Ukuran (matematika)">Teori ukuran</a></li> <li><a href="/wiki/Teori_sistem_dinamis" class="mw-redirect" title="Teori sistem dinamis">Teori sistem dinamis</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Matematika_diskret" class="mw-redirect" title="Matematika diskret">Diskret</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/Kombinatorika" title="Kombinatorika">Kombinatorika</a></li> <li><a href="/wiki/Teori_graf" title="Teori graf">Teori graf</a></li> <li><a href="/wiki/Teori_order" title="Teori order">Teori order</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Geometri" title="Geometri">Geometri</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/Geometri_aljabar" title="Geometri aljabar">Aljabar</a></li> <li><a href="/wiki/Geometri_analitis" title="Geometri analitis">Analitis</a></li> <li><a href="/wiki/Geometri_diferensial" title="Geometri diferensial">Diferensial</a></li> <li><a href="/wiki/Geometri_diskrit" title="Geometri diskrit">Diskrit</a></li> <li><a href="/wiki/Geometri_Euklides" title="Geometri Euklides">Euklides</a></li> <li><a href="/wiki/Geometri_hingga" title="Geometri hingga">Hingga</a></li> <li><a href="/wiki/Trigonometri" title="Trigonometri">Trigonometri</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Matematika_komputasi" title="Matematika komputasi">Komputasi</a></th><td class="navbox-list-with-group navbox-list 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tersedia)">Teori kendali</a>, <a href="/wiki/Teori_permainan" title="Teori permainan">Teori permainan</a>, <a href="/wiki/Riset_operasi" title="Riset operasi">Riset operasi</a>)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Divisi</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/Matematika_murni" title="Matematika murni">Matematika murni</a></li> <li><a href="/wiki/Matematika_terapan" title="Matematika terapan">Matematika terapan</a></li> <li><a href="/wiki/Matematika_diskret" class="mw-redirect" title="Matematika diskret">Matematika diskret</a></li> <li><a href="/wiki/Matematika_komputasi" title="Matematika komputasi">Matematika komputasi</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Topik terkait</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/Matematika_dan_seni" title="Matematika dan seni">Matematika dan seni</a></li> <li><a href="/wiki/Matematika_rekreasi" title="Matematika rekreasi">Matematika rekreasi</a></li> <li><a href="/wiki/Pendidikan_matematika" title="Pendidikan matematika">Pendidikan matematika</a></li> <li><a href="/wiki/Sejarah_matematika" title="Sejarah matematika">Sejarah matematika</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow hlist" colspan="2"><div> <ul><li><span typeof="mw:File"><a href="/wiki/Berkas:Symbol_category_class.svg" class="mw-file-description" title="Category"><img alt="Category" src="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Symbol_category_class.svg/16px-Symbol_category_class.svg.png" decoding="async" width="16" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/96/Symbol_category_class.svg/23px-Symbol_category_class.svg.png 1.5x, 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style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://academic.microsoft.com/v2/detail/134306372">Microsoft Academic</a></span> <ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://academic.microsoft.com/v2/detail/2910683785">2</a></span></li></ul></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="">Diperoleh dari "<a dir="ltr" href="https://id.wikipedia.org/w/index.php?title=Analisis_matematis&oldid=25813114">https://id.wikipedia.org/w/index.php?title=Analisis_matematis&oldid=25813114</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Istimewa:Daftar_kategori" 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