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Lists of mathematics topics - Wikipedia

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class="vector-toc-numb">2</span> <span>Areas of advanced mathematics</span> </div> </a> <button aria-controls="toc-Areas_of_advanced_mathematics-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>Toggle Areas of advanced mathematics subsection</span> </button> <ul id="toc-Areas_of_advanced_mathematics-sublist" class="vector-toc-list"> <li id="toc-Pure_mathematics" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Pure_mathematics"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Pure mathematics</span> </div> </a> <ul id="toc-Pure_mathematics-sublist" class="vector-toc-list"> <li id="toc-Algebra" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Algebra"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.1</span> <span>Algebra</span> </div> </a> <ul id="toc-Algebra-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Calculus_and_analysis" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Calculus_and_analysis"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.2</span> <span>Calculus and analysis</span> </div> </a> <ul id="toc-Calculus_and_analysis-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Geometry_and_topology" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Geometry_and_topology"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.3</span> <span>Geometry and topology</span> </div> </a> <ul id="toc-Geometry_and_topology-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Combinatorics" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Combinatorics"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.4</span> <span>Combinatorics</span> </div> </a> <ul id="toc-Combinatorics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Logic" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Logic"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.5</span> <span>Logic</span> </div> </a> <ul id="toc-Logic-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Number_theory" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Number_theory"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1.6</span> <span>Number theory</span> </div> </a> <ul id="toc-Number_theory-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Applied_mathematics" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Applied_mathematics"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2</span> <span>Applied mathematics</span> </div> </a> <ul id="toc-Applied_mathematics-sublist" class="vector-toc-list"> <li id="toc-Dynamical_systems_and_differential_equations" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Dynamical_systems_and_differential_equations"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.1</span> <span>Dynamical systems and differential equations</span> </div> </a> <ul id="toc-Dynamical_systems_and_differential_equations-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mathematical_physics" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Mathematical_physics"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.2</span> <span>Mathematical physics</span> </div> </a> <ul id="toc-Mathematical_physics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Theory_of_computation" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Theory_of_computation"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.3</span> <span>Theory of computation</span> </div> </a> <ul id="toc-Theory_of_computation-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Information_theory_and_signal_processing" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Information_theory_and_signal_processing"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.4</span> <span>Information theory and signal processing</span> </div> </a> <ul id="toc-Information_theory_and_signal_processing-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Probability_and_statistics" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Probability_and_statistics"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.5</span> <span>Probability and statistics</span> </div> </a> <ul id="toc-Probability_and_statistics-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Game_theory" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Game_theory"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.6</span> <span>Game theory</span> </div> </a> <ul id="toc-Game_theory-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Operations_research" class="vector-toc-list-item vector-toc-level-3"> <a class="vector-toc-link" href="#Operations_research"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.2.7</span> <span>Operations research</span> </div> </a> <ul id="toc-Operations_research-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </li> <li id="toc-Methodology" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Methodology"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Methodology</span> </div> </a> <ul id="toc-Methodology-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mathematical_statements" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Mathematical_statements"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Mathematical statements</span> </div> </a> <ul id="toc-Mathematical_statements-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-General_concepts" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#General_concepts"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>General concepts</span> </div> </a> <ul id="toc-General_concepts-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Mathematical_objects" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Mathematical_objects"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Mathematical objects</span> </div> </a> <ul id="toc-Mathematical_objects-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Equations_named_after_people" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Equations_named_after_people"> <div class="vector-toc-text"> <span class="vector-toc-numb">7</span> <span>Equations named after people</span> </div> </a> <ul id="toc-Equations_named_after_people-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-About_mathematics" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#About_mathematics"> <div class="vector-toc-text"> <span class="vector-toc-numb">8</span> <span>About mathematics</span> </div> </a> <button aria-controls="toc-About_mathematics-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>Toggle About mathematics subsection</span> </button> <ul id="toc-About_mathematics-sublist" class="vector-toc-list"> <li id="toc-Mathematicians" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Mathematicians"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.1</span> <span>Mathematicians</span> </div> </a> <ul id="toc-Mathematicians-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Work_of_particular_mathematicians" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Work_of_particular_mathematicians"> <div class="vector-toc-text"> <span class="vector-toc-numb">8.2</span> <span>Work of particular mathematicians</span> </div> </a> <ul id="toc-Work_of_particular_mathematicians-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Reference_tables" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Reference_tables"> <div class="vector-toc-text"> <span class="vector-toc-numb">9</span> <span>Reference tables</span> </div> </a> <button aria-controls="toc-Reference_tables-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>Toggle Reference tables subsection</span> </button> <ul id="toc-Reference_tables-sublist" class="vector-toc-list"> <li id="toc-Integrals" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Integrals"> <div class="vector-toc-text"> <span class="vector-toc-numb">9.1</span> <span>Integrals</span> </div> </a> <ul id="toc-Integrals-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Journals" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Journals"> <div class="vector-toc-text"> <span class="vector-toc-numb">10</span> <span>Journals</span> </div> </a> <ul id="toc-Journals-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Meta-lists" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Meta-lists"> <div class="vector-toc-text"> <span class="vector-toc-numb">11</span> <span>Meta-lists</span> </div> </a> <ul id="toc-Meta-lists-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-See_also" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#See_also"> <div class="vector-toc-text"> <span class="vector-toc-numb">12</span> <span>See also</span> </div> </a> <ul id="toc-See_also-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Others" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Others"> <div class="vector-toc-text"> <span class="vector-toc-numb">13</span> <span>Others</span> </div> </a> <ul id="toc-Others-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Notes" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#Notes"> <div class="vector-toc-text"> <span class="vector-toc-numb">14</span> <span>Notes</span> </div> </a> <ul id="toc-Notes-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links_and_references" class="vector-toc-list-item vector-toc-level-1"> <a class="vector-toc-link" href="#External_links_and_references"> <div class="vector-toc-text"> <span class="vector-toc-numb">15</span> <span>External links and references</span> </div> </a> <ul id="toc-External_links_and_references-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="Contents" 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="Toggle the table of contents" > <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">Toggle the table of contents</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">Lists of mathematics topics</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="Go to an article in another language. Available in 14 languages" > <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-14" 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">14 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D1%81%D1%8A%D0%BA_%D0%BD%D0%B0_%D0%BC%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%BF%D0%BE%D0%BD%D1%8F%D1%82%D0%B8%D1%8F" title="Списък на математически понятия – Bulgarian" lang="bg" hreflang="bg" data-title="Списък на математически понятия" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%81%D9%87%D8%B1%D8%B3%D8%AA_%D9%85%D9%81%D8%A7%D9%87%DB%8C%D9%85_%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C" title="فهرست مفاهیم ریاضی – Persian" lang="fa" hreflang="fa" data-title="فهرست مفاهیم ریاضی" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</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%B5%D5%AB_%D5%B4%D5%A1%D5%BD%D5%AB%D5%B6_%D5%B0%D5%B8%D5%A4%D5%BE%D5%A1%D5%AE%D5%B6%D5%A5%D6%80%D5%AB_%D6%81%D5%A1%D5%B6%D5%AF%D5%A5%D6%80" title="Մաթեմատիկայի մասին հոդվածների ցանկեր – Armenian" lang="hy" hreflang="hy" data-title="Մաթեմատիկայի մասին հոդվածների ցանկեր" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Daftar_artikel_matematika" title="Daftar artikel matematika – Indonesian" lang="id" hreflang="id" data-title="Daftar artikel matematika" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" 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/Senarai_rencana_matematik" title="Senarai rencana matematik – Malay" lang="ms" hreflang="ms" data-title="Senarai rencana matematik" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Wiskunde_van_A_tot_Z" title="Wiskunde van A tot Z – Dutch" lang="nl" hreflang="nl" data-title="Wiskunde van A tot Z" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Lista_deis_articles_de_matematicas" title="Lista deis articles de matematicas – Occitan" lang="oc" hreflang="oc" data-title="Lista deis articles de matematicas" data-language-autonym="Occitan" data-language-local-name="Occitan" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Wikipedia:Skarbnica_Wikipedii/Przegl%C4%85d_zagadnie%C5%84_z_zakresu_matematyki" title="Wikipedia:Skarbnica Wikipedii/Przegląd zagadnień z zakresu matematyki – Polish" lang="pl" hreflang="pl" data-title="Wikipedia:Skarbnica Wikipedii/Przegląd zagadnień z zakresu matematyki" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</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%BD%E0%B7%92%E0%B6%B4%E0%B7%92_%E0%B6%BD%E0%B7%90%E0%B6%BA%E0%B7%92%E0%B7%83%E0%B7%8A%E0%B6%AD%E0%B7%94%E0%B7%80" title="ගණිත ලිපි ලැයිස්තුව – Sinhala" lang="si" hreflang="si" data-title="ගණිත ලිපි ලැයිස්තුව" 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/List_of_mathematics_topics" title="List of mathematics topics – Simple English" lang="en-simple" hreflang="en-simple" data-title="List of mathematics topics" 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-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Seznam_matemati%C4%8Dnih_vsebin" title="Seznam matematičnih vsebin – Slovenian" lang="sl" hreflang="sl" data-title="Seznam matematičnih vsebin" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Matematik_konular%C4%B1n%C4%B1n_listesi" title="Matematik konularının listesi – Turkish" lang="tr" hreflang="tr" data-title="Matematik konularının listesi" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%92%D1%96%D0%BA%D1%96%D0%BF%D0%B5%D0%B4%D1%96%D1%8F:%D0%9F%D1%80%D0%BE%D1%94%D0%BA%D1%82:%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0/%D0%97%D0%BC%D1%96%D1%81%D1%82" title="Вікіпедія:Проєкт:Математика/Зміст – Ukrainian" lang="uk" hreflang="uk" data-title="Вікіпедія:Проєкт:Математика/Зміст" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Danh_s%C3%A1ch_ch%E1%BB%A7_%C4%91%E1%BB%81_to%C3%A1n_h%E1%BB%8Dc" title="Danh sách chủ đề toán học – Vietnamese" lang="vi" hreflang="vi" data-title="Danh sách chủ đề toán học" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamese" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a 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<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="en" dir="ltr"><p class="mw-empty-elt"> </p> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:CTL_model.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/79/CTL_model.png/220px-CTL_model.png" decoding="async" width="220" height="256" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/7/79/CTL_model.png 1.5x" data-file-width="235" data-file-height="273" /></a><figcaption>Mathematics </figcaption></figure> <p><b>Lists of mathematics topics</b> cover a variety of topics related to <a href="/wiki/Mathematics" title="Mathematics">mathematics</a>. Some of these lists link to hundreds of articles; some link only to a few. The template to the right includes links to alphabetical lists of all mathematical articles. This article brings together the same content organized in a manner better suited for browsing. Lists cover aspects of basic and advanced mathematics, methodology, mathematical statements, integrals, general concepts, mathematical objects, and reference tables. They also cover equations named after people, societies, mathematicians, journals, and meta-lists. </p><p>The purpose of this list is <i>not</i> similar to that of the <a href="/wiki/Mathematics_Subject_Classification" title="Mathematics Subject Classification">Mathematics Subject Classification</a> formulated by the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>. Many mathematics journals ask authors of research papers and expository articles to list subject codes from the Mathematics Subject Classification in their papers. The subject codes so listed are used by the two major reviewing databases, <i><a href="/wiki/Mathematical_Reviews" title="Mathematical Reviews">Mathematical Reviews</a></i> and <i><a href="/wiki/Zentralblatt_MATH" class="mw-redirect" title="Zentralblatt MATH">Zentralblatt MATH</a></i>. This list has some items that would not fit in such a classification, such as <a href="/wiki/List_of_exponential_topics" title="List of exponential topics">list of exponential topics</a> and <a href="/wiki/List_of_factorial_and_binomial_topics" title="List of factorial and binomial topics">list of factorial and binomial topics</a>, which may surprise the reader with the diversity of their coverage. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Basic_mathematics">Basic mathematics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=1" title="Edit section: Basic mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>This branch is typically taught in secondary education or in the first year of university. </p> <ul><li><a href="/wiki/Outline_of_arithmetic" title="Outline of arithmetic">Outline of arithmetic</a></li> <li><a href="/wiki/Outline_of_discrete_mathematics" title="Outline of discrete mathematics">Outline of discrete mathematics</a></li> <li><a href="/wiki/List_of_calculus_topics" title="List of calculus topics">List of calculus topics</a></li> <li><a href="/wiki/List_of_geometry_topics" class="mw-redirect" title="List of geometry topics">List of geometry topics</a> <ul><li><a href="/wiki/Outline_of_geometry" title="Outline of geometry">Outline of geometry</a></li> <li><a href="/wiki/List_of_trigonometry_topics" class="mw-redirect" title="List of trigonometry topics">List of trigonometry topics</a> <ul><li><a href="/wiki/Outline_of_trigonometry" title="Outline of trigonometry">Outline of trigonometry</a></li> <li><a href="/wiki/List_of_trigonometric_identities" title="List of trigonometric identities">List of trigonometric identities</a></li></ul></li></ul></li> <li><a href="/wiki/List_of_logarithmic_identities" title="List of logarithmic identities">List of logarithmic identities</a> <ul><li><a href="/wiki/List_of_integrals_of_logarithmic_functions" title="List of integrals of logarithmic functions">List of integrals of logarithmic functions</a></li></ul></li> <li><a href="/wiki/List_of_set_identities_and_relations" title="List of set identities and relations">List of set identities and relations</a></li> <li><a href="/wiki/List_of_topics_in_logic" class="mw-redirect" title="List of topics in logic">List of topics in logic</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Areas_of_advanced_mathematics">Areas of advanced mathematics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=2" title="Edit section: Areas of advanced mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Areas_of_mathematics" class="mw-redirect" title="Areas of mathematics">Areas of mathematics</a> and <a href="/wiki/Glossary_of_areas_of_mathematics" title="Glossary of areas of mathematics">Glossary of areas of mathematics</a></div> <p>As a rough guide, this list is divided into pure and applied sections although in reality, these branches are overlapping and intertwined. </p> <div class="mw-heading mw-heading3"><h3 id="Pure_mathematics">Pure mathematics</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=3" title="Edit section: Pure mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Pure_mathematics" title="Pure mathematics">Pure mathematics</a></div> <div class="mw-heading mw-heading4"><h4 id="Algebra">Algebra</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=4" title="Edit section: Algebra"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Algebra" title="Algebra">Algebra</a> includes the study of algebraic structures, which are sets and operations defined on these sets satisfying certain axioms. The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called <i>group</i>. </p> <ul><li><a href="/wiki/Outline_of_algebra" title="Outline of algebra">Outline of algebra</a></li> <li><a href="/wiki/Glossary_of_field_theory" title="Glossary of field theory">Glossary of field theory</a></li> <li><a href="/wiki/Glossary_of_group_theory" title="Glossary of group theory">Glossary of group theory</a></li> <li><a href="/wiki/Glossary_of_linear_algebra" title="Glossary of linear algebra">Glossary of linear algebra</a></li> <li><a href="/wiki/Glossary_of_ring_theory" title="Glossary of ring theory">Glossary of ring theory</a></li> <li><a href="/wiki/List_of_abstract_algebra_topics" title="List of abstract algebra topics">List of abstract algebra topics</a></li> <li><a href="/wiki/List_of_algebraic_structures" class="mw-redirect" title="List of algebraic structures">List of algebraic structures</a></li> <li><a href="/wiki/List_of_Boolean_algebra_topics" title="List of Boolean algebra topics">List of Boolean algebra topics</a></li> <li><a href="/wiki/List_of_category_theory_topics" class="mw-redirect" title="List of category theory topics">List of category theory topics</a></li> <li><a href="/wiki/List_of_cohomology_theories" title="List of cohomology theories">List of cohomology theories</a></li> <li><a href="/wiki/List_of_commutative_algebra_topics" title="List of commutative algebra topics">List of commutative algebra topics</a></li> <li><a href="/wiki/List_of_homological_algebra_topics" title="List of homological algebra topics">List of homological algebra topics</a></li> <li><a href="/wiki/List_of_group_theory_topics" title="List of group theory topics">List of group theory topics</a></li> <li><a href="/wiki/List_of_representation_theory_topics" title="List of representation theory topics">List of representation theory topics</a></li> <li><a href="/wiki/List_of_linear_algebra_topics" class="mw-redirect" title="List of linear algebra topics">List of linear algebra topics</a></li> <li><a href="/wiki/List_of_reciprocity_laws" class="mw-redirect" title="List of reciprocity laws">List of reciprocity laws</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Calculus_and_analysis">Calculus and analysis</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=5" title="Edit section: Calculus and analysis"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Gibbs_phenomenon_10.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/Gibbs_phenomenon_10.png/200px-Gibbs_phenomenon_10.png" decoding="async" width="200" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/de/Gibbs_phenomenon_10.png/300px-Gibbs_phenomenon_10.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/de/Gibbs_phenomenon_10.png/400px-Gibbs_phenomenon_10.png 2x" data-file-width="570" data-file-height="570" /></a><figcaption><a href="/wiki/Fourier_series" title="Fourier series">Fourier series</a> approximation of square wave in five steps.</figcaption></figure> <p><a href="/wiki/Calculus" title="Calculus">Calculus</a> studies the computation of limits, derivatives, and integrals of functions of real numbers, and in particular studies instantaneous rates of change. <a href="/wiki/Mathematical_analysis" title="Mathematical analysis">Analysis</a> evolved from calculus. </p> <ul><li><a href="/wiki/Glossary_of_tensor_theory" title="Glossary of tensor theory">Glossary of tensor theory</a></li> <li><a href="/wiki/List_of_complex_analysis_topics" title="List of complex analysis topics">List of complex analysis topics</a></li> <li><a href="/wiki/List_of_functional_analysis_topics" title="List of functional analysis topics">List of functional analysis topics</a> <ul><li><a href="/wiki/List_of_vector_spaces_in_mathematics" title="List of vector spaces in mathematics">List of vector spaces in mathematics</a></li></ul></li> <li><a href="/wiki/List_of_integration_and_measure_theory_topics" title="List of integration and measure theory topics">List of integration and measure theory topics</a></li> <li><a href="/wiki/List_of_harmonic_analysis_topics" title="List of harmonic analysis topics">List of harmonic analysis topics</a> <ul><li><a href="/wiki/List_of_Fourier_analysis_topics" title="List of Fourier analysis topics">List of Fourier analysis topics</a></li></ul></li> <li><a href="/wiki/List_of_mathematical_series" title="List of mathematical series">List of mathematical series</a></li> <li><a href="/wiki/List_of_multivariable_calculus_topics" title="List of multivariable calculus topics">List of multivariable calculus topics</a></li> <li><a href="/wiki/List_of_q-analogs" title="List of q-analogs">List of q-analogs</a></li> <li><a href="/wiki/List_of_real_analysis_topics" title="List of real analysis topics">List of real analysis topics</a></li> <li><a href="/wiki/List_of_variational_topics" title="List of variational topics">List of variational topics</a></li> <li>See also <a href="#Dynamical_systems_and_differential_equations">Dynamical systems and differential equations</a> section below.</li></ul> <div class="mw-heading mw-heading4"><h4 id="Geometry_and_topology">Geometry and topology</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=6" title="Edit section: Geometry and topology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Ford_circles.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Ford_circles.svg/200px-Ford_circles.svg.png" decoding="async" width="200" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/5/54/Ford_circles.svg/300px-Ford_circles.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/5/54/Ford_circles.svg/400px-Ford_circles.svg.png 2x" data-file-width="531" data-file-height="531" /></a><figcaption><a href="/wiki/Ford_circle" title="Ford circle">Ford circles</a>—A circle rests upon each fraction in lowest terms. Each touches its neighbors without crossing.</figcaption></figure> <p><a href="/wiki/Geometry" title="Geometry">Geometry</a> is initially the study of spatial figures like circles and cubes, though it has been generalized considerably. <a href="/wiki/Topology" title="Topology">Topology</a> developed from geometry; it looks at those properties that do not change even when the figures are deformed by stretching and bending, like dimension. </p> <ul><li><a href="/wiki/Glossary_of_differential_geometry_and_topology" title="Glossary of differential geometry and topology">Glossary of differential geometry and topology</a></li> <li><a href="/wiki/Glossary_of_general_topology" title="Glossary of general topology">Glossary of general topology</a></li> <li><a href="/wiki/Glossary_of_Riemannian_and_metric_geometry" title="Glossary of Riemannian and metric geometry">Glossary of Riemannian and metric geometry</a></li> <li><a href="/wiki/Glossary_of_scheme_theory" class="mw-redirect" title="Glossary of scheme theory">Glossary of scheme theory</a></li> <li><a href="/wiki/List_of_algebraic_geometry_topics" title="List of algebraic geometry topics">List of algebraic geometry topics</a> <ul><li><a href="/wiki/List_of_algebraic_surfaces" class="mw-redirect" title="List of algebraic surfaces">List of algebraic surfaces</a></li></ul></li> <li><a href="/wiki/List_of_algebraic_topology_topics" title="List of algebraic topology topics">List of algebraic topology topics</a> <ul><li><a href="/wiki/List_of_cohomology_theories" title="List of cohomology theories">List of cohomology theories</a></li></ul></li> <li><a href="/wiki/List_of_circle_topics" title="List of circle topics">List of circle topics</a> <ul><li><a href="/wiki/List_of_topics_related_to_pi" class="mw-redirect" title="List of topics related to pi">List of topics related to pi</a></li></ul></li> <li><a href="/wiki/List_of_curves_topics" title="List of curves topics">List of curves topics</a></li> <li><a href="/wiki/List_of_differential_geometry_topics" title="List of differential geometry topics">List of differential geometry topics</a></li> <li><a href="/wiki/List_of_general_topology_topics" title="List of general topology topics">List of general topology topics</a></li> <li><a href="/wiki/List_of_geometric_shapes" class="mw-redirect" title="List of geometric shapes">List of geometric shapes</a></li> <li><a href="/wiki/List_of_geometric_topology_topics" title="List of geometric topology topics">List of geometric topology topics</a></li> <li><a href="/wiki/List_of_geometry_topics" class="mw-redirect" title="List of geometry topics">List of geometry topics</a></li> <li><a href="/wiki/List_of_knot_theory_topics" title="List of knot theory topics">List of knot theory topics</a></li> <li><a href="/wiki/List_of_Lie_group_topics" class="mw-redirect" title="List of Lie group topics">List of Lie group topics</a></li> <li><a href="/wiki/List_of_mathematical_properties_of_points" title="List of mathematical properties of points">List of mathematical properties of points</a></li> <li><a href="/wiki/List_of_topology_topics" title="List of topology topics">List of topology topics</a> <ul><li><a href="/wiki/List_of_topologies" title="List of topologies">List of topologies</a></li> <li><a href="/wiki/Topological_property" title="Topological property">Topological property</a></li></ul></li> <li><a href="/wiki/List_of_triangle_topics" title="List of triangle topics">List of triangle topics</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Combinatorics">Combinatorics</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=7" title="Edit section: Combinatorics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Combinatorics" title="Combinatorics">Combinatorics</a> concerns the study of <a href="/wiki/Countable_set" title="Countable set">discrete</a> (and usually <a href="/wiki/Finite_set" title="Finite set">finite</a>) objects. Aspects include "counting" the objects satisfying certain criteria (<i><a href="/wiki/Enumerative_combinatorics" title="Enumerative combinatorics">enumerative combinatorics</a></i>), deciding when the criteria can be met, and constructing and analyzing objects meeting the criteria (as in <i><a href="/wiki/Combinatorial_design" title="Combinatorial design">combinatorial designs</a> and <a href="/wiki/Matroid" title="Matroid">matroid</a> theory</i>), finding "largest", "smallest", or "optimal" objects (<i><a href="/wiki/Extremal_combinatorics" title="Extremal combinatorics">extremal combinatorics</a></i> and <i><a href="/wiki/Combinatorial_optimization" title="Combinatorial optimization">combinatorial optimization</a></i>), and finding <a href="/wiki/Algebra" title="Algebra">algebraic</a> structures these objects may have (<i><a href="/wiki/Algebraic_combinatorics" title="Algebraic combinatorics">algebraic combinatorics</a></i>). </p> <ul><li><a href="/wiki/Outline_of_combinatorics" title="Outline of combinatorics">Outline of combinatorics</a></li> <li><a href="/wiki/Glossary_of_graph_theory" title="Glossary of graph theory">Glossary of graph theory</a></li> <li><a href="/wiki/List_of_graph_theory_topics" title="List of graph theory topics">List of graph theory topics</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Logic">Logic</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=8" title="Edit section: Logic"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Venn_A_intersect_B.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/200px-Venn_A_intersect_B.svg.png" decoding="async" width="200" height="143" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/300px-Venn_A_intersect_B.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/400px-Venn_A_intersect_B.svg.png 2x" data-file-width="350" data-file-height="250" /></a><figcaption><a href="/wiki/Venn_diagram" title="Venn diagram">Venn diagrams</a> are illustrations of set theoretical, mathematical or logical relationships.</figcaption></figure> <p><a href="/wiki/Logic" title="Logic">Logic</a> is the foundation that underlies <a href="/wiki/Mathematical_logic" title="Mathematical logic">mathematical logic</a> and the rest of mathematics. It tries to formalize valid reasoning. In particular, it attempts to define what constitutes a proof. </p> <ul><li><a href="/wiki/List_of_Boolean_algebra_topics" title="List of Boolean algebra topics">List of Boolean algebra topics</a></li> <li><a href="/wiki/List_of_first-order_theories" title="List of first-order theories">List of first-order theories</a></li> <li><a href="/wiki/List_of_large_cardinal_properties" title="List of large cardinal properties">List of large cardinal properties</a></li> <li><a href="/wiki/List_of_mathematical_logic_topics" title="List of mathematical logic topics">List of mathematical logic topics</a></li> <li><a href="/wiki/List_of_set_theory_topics" title="List of set theory topics">List of set theory topics</a></li> <li><a href="/wiki/Glossary_of_order_theory" title="Glossary of order theory">Glossary of order theory</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Number_theory">Number theory</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=9" title="Edit section: Number theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>The branch of mathematics deals with the properties and relationships of numbers, especially positive integers. <a href="/wiki/Number_theory" title="Number theory">Number theory</a> is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers. One of the central concepts in number theory is that of the <a href="/wiki/Prime_number" title="Prime number">prime number</a>, and there are many questions about primes that appear simple but whose resolution continues to elude mathematicians. </p> <ul><li><a href="/wiki/List_of_algebraic_number_theory_topics" title="List of algebraic number theory topics">List of algebraic number theory topics</a></li> <li><a href="/wiki/List_of_number_theory_topics" title="List of number theory topics">List of number theory topics</a></li> <li><a href="/wiki/List_of_recreational_number_theory_topics" title="List of recreational number theory topics">List of recreational number theory topics</a></li> <li><a href="/wiki/Glossary_of_arithmetic_and_Diophantine_geometry" class="mw-redirect" title="Glossary of arithmetic and Diophantine geometry">Glossary of arithmetic and Diophantine geometry</a></li> <li><a href="/wiki/List_of_prime_numbers" title="List of prime numbers">List of prime numbers</a>&#8212;not just a table, but a list of various <i>kinds</i> of prime numbers (each with an accompanying table)</li> <li><a href="/wiki/List_of_zeta_functions" title="List of zeta functions">List of zeta functions</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Applied_mathematics">Applied mathematics</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=10" title="Edit section: Applied mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading4"><h4 id="Dynamical_systems_and_differential_equations">Dynamical systems and differential equations</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=11" title="Edit section: Dynamical systems and differential equations"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Limitcycle.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Limitcycle.svg/200px-Limitcycle.svg.png" decoding="async" width="200" height="162" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/91/Limitcycle.svg/300px-Limitcycle.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/91/Limitcycle.svg/400px-Limitcycle.svg.png 2x" data-file-width="390" data-file-height="315" /></a><figcaption>Phase portrait of a continuous-time dynamical system, the <a href="/wiki/Van_der_Pol_oscillator" title="Van der Pol oscillator">Van der Pol oscillator</a>.</figcaption></figure> <p>A <a href="/wiki/Differential_equation" title="Differential equation">differential equation</a> is an equation involving an unknown function and its derivatives. </p><p>In a <a href="/wiki/Dynamical_system" title="Dynamical system">dynamical system</a>, a fixed rule describes the time dependence of a point in a geometrical space. The mathematical models used to describe the swinging of a clock pendulum, the flow of water in a pipe, or the number of fish each spring in a lake are examples of dynamical systems. </p> <ul><li><a href="/wiki/List_of_dynamical_systems_and_differential_equations_topics" title="List of dynamical systems and differential equations topics">List of dynamical systems and differential equations topics</a></li> <li><a href="/wiki/List_of_nonlinear_partial_differential_equations" title="List of nonlinear partial differential equations">List of nonlinear partial differential equations</a></li> <li><a href="/wiki/List_of_partial_differential_equation_topics" title="List of partial differential equation topics">List of partial differential equation topics</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Mathematical_physics">Mathematical physics</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=12" title="Edit section: Mathematical physics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Mathematical_physics" title="Mathematical physics">Mathematical physics</a> is concerned with "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories".<sup class="plainlinks nourlexpansion citation" id="ref_1"><a href="#endnote_1">1</a></sup> </p> <ul><li><a href="/wiki/List_of_mathematical_topics_in_classical_mechanics" title="List of mathematical topics in classical mechanics">List of mathematical topics in classical mechanics</a></li> <li><a href="/wiki/List_of_mathematical_topics_in_quantum_theory" title="List of mathematical topics in quantum theory">List of mathematical topics in quantum theory</a></li> <li><a href="/wiki/List_of_mathematical_topics_in_relativity" title="List of mathematical topics in relativity">List of mathematical topics in relativity</a></li> <li><a href="/wiki/List_of_string_theory_topics" title="List of string theory topics">List of string theory topics</a></li> <li><a href="/wiki/Index_of_wave_articles" title="Index of wave articles">Index of wave articles</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Theory_of_computation">Theory of computation</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=13" title="Edit section: Theory of computation"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Raytraced_image_jawray.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Raytraced_image_jawray.jpg/200px-Raytraced_image_jawray.jpg" decoding="async" width="200" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Raytraced_image_jawray.jpg/300px-Raytraced_image_jawray.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Raytraced_image_jawray.jpg/400px-Raytraced_image_jawray.jpg 2x" data-file-width="600" data-file-height="600" /></a><figcaption><a href="/wiki/Ray_tracing_(graphics)" title="Ray tracing (graphics)">Ray tracing</a> is a process based on <a href="/wiki/Computational_mathematics" title="Computational mathematics">computational mathematics</a>.</figcaption></figure> <p>The fields of mathematics and computing intersect both in <a href="/wiki/Computer_science" title="Computer science">computer science</a>, the study of algorithms and data structures, and in <a href="/wiki/Scientific_computing" class="mw-redirect" title="Scientific computing">scientific computing</a>, the study of algorithmic methods for solving problems in mathematics, science, and engineering. </p> <ul><li><a href="/wiki/List_of_algorithm_general_topics" title="List of algorithm general topics">List of algorithm general topics</a></li> <li><a href="/wiki/List_of_computability_and_complexity_topics" title="List of computability and complexity topics">List of computability and complexity topics</a></li> <li>Lists for computational topics in geometry and graphics <ul><li><a href="/wiki/List_of_combinatorial_computational_geometry_topics" title="List of combinatorial computational geometry topics">List of combinatorial computational geometry topics</a></li> <li><a href="/wiki/List_of_computer_graphics_and_descriptive_geometry_topics" title="List of computer graphics and descriptive geometry topics">List of computer graphics and descriptive geometry topics</a></li> <li><a href="/wiki/List_of_numerical_computational_geometry_topics" title="List of numerical computational geometry topics">List of numerical computational geometry topics</a></li></ul></li> <li><a href="/wiki/List_of_computer_vision_topics" class="mw-redirect" title="List of computer vision topics">List of computer vision topics</a></li> <li><a href="/wiki/List_of_formal_language_and_literal_string_topics" title="List of formal language and literal string topics">List of formal language and literal string topics</a></li> <li><a href="/wiki/List_of_numerical_analysis_topics" title="List of numerical analysis topics">List of numerical analysis topics</a></li> <li><a href="/wiki/List_of_terms_relating_to_algorithms_and_data_structures" title="List of terms relating to algorithms and data structures">List of terms relating to algorithms and data structures</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Information_theory_and_signal_processing">Information theory and signal processing</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=14" title="Edit section: Information theory and signal processing"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Information_theory" title="Information theory">Information theory</a> is a branch of <a href="/wiki/Applied_mathematics" title="Applied mathematics">applied mathematics</a> and <a href="/wiki/Social_science" title="Social science">social science</a> involving the quantification of <a href="/wiki/Information" title="Information">information</a>. Historically, information theory was developed to find fundamental limits on compressing and reliably <a href="/wiki/Communication" title="Communication">communicating</a> data. </p><p><a href="/wiki/Signal_processing" title="Signal processing">Signal processing</a> is the analysis, interpretation, and manipulation of <a href="/wiki/Signal_(electrical_engineering)" class="mw-redirect" title="Signal (electrical engineering)">signals</a>. Signals of interest include <a href="/wiki/Audio_signal_processing" title="Audio signal processing">sound</a>, <a href="/wiki/Image_processing" class="mw-redirect" title="Image processing">images</a>, biological signals such as <a href="/wiki/ECG" class="mw-redirect" title="ECG">ECG</a>, <a href="/wiki/Radar" title="Radar">radar</a> signals, and many others. Processing of such signals includes <a href="/wiki/Filter_(signal_processing)" title="Filter (signal processing)">filtering</a>, storage and reconstruction, separation of information from <a href="/wiki/Noise" title="Noise">noise</a>, <a href="/wiki/Data_compression" title="Data compression">compression</a>, and <a href="/wiki/Feature_extraction" class="mw-redirect" title="Feature extraction">feature extraction</a>. </p> <ul><li><a href="/wiki/List_of_algebraic_coding_theory_topics" title="List of algebraic coding theory topics">List of algebraic coding theory topics</a></li> <li><a href="/wiki/List_of_information_theory_topics" class="mw-redirect" title="List of information theory topics">List of information theory topics</a></li> <li><a href="/wiki/Wikipedia:WikiProject_Cryptography/List_of_cryptography_topics" class="mw-redirect" title="Wikipedia:WikiProject Cryptography/List of cryptography topics">List of cryptography topics</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Probability_and_statistics">Probability and statistics</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=15" title="Edit section: Probability and statistics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/File:Normal_approximation_to_binomial.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Normal_approximation_to_binomial.svg/200px-Normal_approximation_to_binomial.svg.png" decoding="async" width="200" height="160" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Normal_approximation_to_binomial.svg/300px-Normal_approximation_to_binomial.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/9f/Normal_approximation_to_binomial.svg/400px-Normal_approximation_to_binomial.svg.png 2x" data-file-width="600" data-file-height="480" /></a><figcaption>The "bell curve"—the probability density function of the <a href="/wiki/Normal_distribution" title="Normal distribution">normal distribution</a>.</figcaption></figure> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/Lists_of_statistics_topics" title="Lists of statistics topics">Lists of statistics topics</a></div> <p><a href="/wiki/Probability_theory" title="Probability theory">Probability theory</a> is the formalization and study of the mathematics of uncertain events or knowledge. The related field of <a href="/wiki/Mathematical_statistics" title="Mathematical statistics">mathematical statistics</a> develops <a href="/wiki/Statistical_theory" title="Statistical theory">statistical theory</a> with mathematics. <a href="/wiki/Statistics" title="Statistics">Statistics</a>, the science concerned with collecting and analyzing data, is an autonomous discipline (and not a subdiscipline of <a href="/wiki/Applied_mathematics" title="Applied mathematics">applied mathematics</a>). </p> <ul><li><a href="/wiki/Catalog_of_articles_in_probability_theory" title="Catalog of articles in probability theory">Catalog of articles in probability theory</a></li> <li><a href="/wiki/List_of_probability_topics" title="List of probability topics">List of probability topics</a></li> <li><a href="/wiki/List_of_stochastic_processes_topics" title="List of stochastic processes topics">List of stochastic processes topics</a></li> <li><a href="/wiki/List_of_probability_distributions" title="List of probability distributions">List of probability distributions</a></li> <li><a href="/wiki/List_of_statistics_topics" class="mw-redirect" title="List of statistics topics">List of statistics topics</a></li> <li><a href="/wiki/Outline_of_regression_analysis" title="Outline of regression analysis">Outline of regression analysis</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Game_theory">Game theory</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=16" title="Edit section: Game theory"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Game_theory" title="Game theory">Game theory</a> is a branch of <a href="/wiki/Mathematics" title="Mathematics">mathematics</a> that uses <a href="/wiki/Model_(abstract)" class="mw-redirect" title="Model (abstract)">models</a> to study interactions with formalized incentive structures ("games"). It has applications in a variety of fields, including <a href="/wiki/Economics" title="Economics">economics</a>, <a href="/wiki/Anthropology" title="Anthropology">anthropology</a>, <a href="/wiki/Political_science" title="Political science">political science</a>, <a href="/wiki/Social_psychology" title="Social psychology">social psychology</a> and <a href="/wiki/Military_strategy" title="Military strategy">military strategy</a>. </p> <ul><li><a href="/wiki/Glossary_of_game_theory" title="Glossary of game theory">Glossary of game theory</a></li> <li><a href="/wiki/List_of_games_in_game_theory" title="List of games in game theory">List of games in game theory</a></li></ul> <div class="mw-heading mw-heading4"><h4 id="Operations_research">Operations research</h4><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=17" title="Edit section: Operations research"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><a href="/wiki/Operations_research" title="Operations research">Operations research</a> is the study and use of mathematical models, statistics, and algorithms to aid in decision-making, typically with the goal of improving or optimizing the performance of real-world systems. </p> <ul><li><a href="/wiki/List_of_knapsack_problems" title="List of knapsack problems">List of knapsack problems</a></li> <li><a href="/wiki/List_of_network_theory_topics" title="List of network theory topics">List of network theory topics</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Methodology">Methodology</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=18" title="Edit section: Methodology"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_graphical_methods" title="List of graphical methods">List of graphical methods</a></li> <li><a href="/wiki/List_of_mathematics-based_methods" title="List of mathematics-based methods">List of mathematics-based methods</a></li> <li><a href="/wiki/List_of_rules_of_inference" title="List of rules of inference">List of rules of inference</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Mathematical_statements">Mathematical statements</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=19" title="Edit section: Mathematical statements"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>A mathematical statement amounts to a <a href="/wiki/Proposition_(mathematics)" class="mw-redirect" title="Proposition (mathematics)">proposition</a> or assertion of some mathematical fact, formula, or construction. Such statements include axioms and the theorems that may be proved from them, conjectures that may be unproven or even unprovable, and also algorithms for computing the answers to questions that can be expressed mathematically. </p> <ul><li><a href="/wiki/List_of_algorithms" title="List of algorithms">List of algorithms</a></li> <li><a href="/wiki/List_of_axioms" title="List of axioms">List of axioms</a></li> <li><a href="/wiki/List_of_conjectures" title="List of conjectures">List of conjectures</a> <ul><li><a href="/wiki/List_of_conjectures_by_Paul_Erd%C5%91s" title="List of conjectures by Paul Erdős">List of conjectures by Paul Erdős</a></li></ul></li> <li><a href="/wiki/Combinatorial_principles" title="Combinatorial principles">Combinatorial principles</a></li> <li><a href="/wiki/List_of_equations" title="List of equations">List of equations</a></li> <li><a href="/wiki/List_of_formulae_involving_pi" class="mw-redirect" title="List of formulae involving pi">List of formulae involving pi</a></li> <li><a href="/wiki/List_of_representations_of_e" title="List of representations of e">List of representations of e</a></li> <li><a href="/wiki/List_of_inequalities" title="List of inequalities">List of inequalities</a></li> <li><a href="/wiki/List_of_lemmas" title="List of lemmas">List of lemmas</a></li> <li><a href="/wiki/List_of_mathematical_identities" title="List of mathematical identities">List of mathematical identities</a></li> <li><a href="/wiki/List_of_mathematical_proofs" title="List of mathematical proofs">List of mathematical proofs</a></li> <li><a href="/wiki/List_of_theorems" title="List of theorems">List of theorems</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="General_concepts">General concepts</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=20" title="Edit section: General concepts"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_convexity_topics" title="List of convexity topics">List of convexity topics</a></li> <li><a href="/wiki/List_of_dualities" title="List of dualities">List of dualities</a></li> <li><a href="/wiki/List_of_exceptional_set_concepts" title="List of exceptional set concepts">List of exceptional set concepts</a></li> <li><a href="/wiki/List_of_exponential_topics" title="List of exponential topics">List of exponential topics</a></li> <li><a href="/wiki/List_of_factorial_and_binomial_topics" title="List of factorial and binomial topics">List of factorial and binomial topics</a></li> <li><a href="/wiki/List_of_fractal_topics" class="mw-redirect" title="List of fractal topics">List of fractal topics</a></li> <li><a href="/wiki/List_of_logarithm_topics" class="mw-redirect" title="List of logarithm topics">List of logarithm topics</a></li> <li><a href="/wiki/List_of_mathematical_properties_of_points" title="List of mathematical properties of points">List of mathematical properties of points</a></li> <li><a href="/wiki/List_of_numeral_system_topics" title="List of numeral system topics">List of numeral system topics</a></li> <li><a href="/wiki/List_of_order_topics" class="mw-redirect" title="List of order topics">List of order topics</a></li> <li><a href="/wiki/List_of_partition_topics" title="List of partition topics">List of partition topics</a></li> <li><a href="/wiki/List_of_permutation_topics" title="List of permutation topics">List of permutation topics</a></li> <li><a href="/wiki/List_of_polynomial_topics" title="List of polynomial topics">List of polynomial topics</a></li> <li><a href="/wiki/List_of_properties_of_sets_of_reals" title="List of properties of sets of reals">List of properties of sets of reals</a></li> <li><a href="/wiki/List_of_transforms" title="List of transforms">List of transforms</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Mathematical_objects">Mathematical objects</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=21" title="Edit section: Mathematical objects"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Among mathematical objects are numbers, functions, sets, a great variety of things called "<a href="/wiki/Space_(mathematics)" title="Space (mathematics)">spaces</a>" of one kind or another, algebraic structures such as rings, groups, or fields, and many other things. </p> <ul><li><a href="/wiki/List_of_mathematical_examples" title="List of mathematical examples">List of mathematical examples</a></li> <li><a href="/wiki/List_of_algebraic_surfaces" class="mw-redirect" title="List of algebraic surfaces">List of algebraic surfaces</a></li> <li><a href="/wiki/List_of_curves" title="List of curves">List of curves</a></li> <li><a href="/wiki/List_of_complex_reflection_groups" class="mw-redirect" title="List of complex reflection groups">List of complex reflection groups</a></li> <li><a href="/wiki/List_of_complexity_classes" title="List of complexity classes">List of complexity classes</a></li> <li><a href="/wiki/List_of_examples_in_general_topology" title="List of examples in general topology">List of examples in general topology</a></li> <li><a href="/wiki/List_of_finite_simple_groups" title="List of finite simple groups">List of finite simple groups</a></li> <li><a href="/wiki/List_of_Fourier-related_transforms" title="List of Fourier-related transforms">List of Fourier-related transforms</a></li> <li><a href="/wiki/List_of_manifolds" title="List of manifolds">List of manifolds</a></li> <li><a href="/wiki/List_of_mathematical_constants" title="List of mathematical constants">List of mathematical constants</a></li> <li><a href="/wiki/List_of_mathematical_functions" title="List of mathematical functions">List of mathematical functions</a></li> <li><a href="/wiki/List_of_mathematical_knots_and_links" title="List of mathematical knots and links">List of mathematical knots and links</a></li> <li><a href="/wiki/List_of_mathematical_shapes" title="List of mathematical shapes">List of mathematical shapes</a></li> <li><a href="/wiki/List_of_mathematical_spaces" class="mw-redirect" title="List of mathematical spaces">List of mathematical spaces</a></li> <li><a href="/wiki/List_of_matrices" class="mw-redirect" title="List of matrices">List of matrices</a></li> <li><a href="/wiki/List_of_numbers" title="List of numbers">List of numbers</a></li> <li><a href="/wiki/List_of_polygons,_polyhedra_and_polytopes" title="List of polygons, polyhedra and polytopes">List of polygons, polyhedra and polytopes</a></li> <li><a href="/wiki/List_of_regular_polytopes" title="List of regular polytopes">List of regular polytopes</a></li> <li><a href="/wiki/List_of_simple_Lie_groups" class="mw-redirect" title="List of simple Lie groups">List of simple Lie groups</a></li> <li><a href="/wiki/List_of_small_groups" title="List of small groups">List of small groups</a></li> <li><a href="/wiki/List_of_special_functions_and_eponyms" class="mw-redirect" title="List of special functions and eponyms">List of special functions and eponyms</a></li> <li><a href="/wiki/List_of_surfaces" title="List of surfaces">List of surfaces</a></li> <li><a href="/wiki/Table_of_Lie_groups" title="Table of Lie groups">Table of Lie groups</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Equations_named_after_people">Equations named after people</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=22" title="Edit section: Equations named after people"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Scientific_equations_named_after_people" class="mw-redirect" title="Scientific equations named after people">Scientific equations named after people</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="About_mathematics">About mathematics</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=23" title="Edit section: About mathematics"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_letters_used_in_mathematics_and_science" class="mw-redirect" title="List of letters used in mathematics and science">List of letters used in mathematics and science</a></li> <li><a href="/wiki/List_of_mathematical_societies" title="List of mathematical societies">List of mathematical societies</a></li> <li><a href="/wiki/List_of_mathematics_competitions" title="List of mathematics competitions">List of mathematics competitions</a></li> <li><a href="/wiki/List_of_mathematics_history_topics" title="List of mathematics history topics">List of mathematics history topics</a></li> <li><a href="/wiki/List_of_publications_in_mathematics" class="mw-redirect" title="List of publications in mathematics">List of publications in mathematics</a></li> <li><a href="/wiki/List_of_mathematics_journals" title="List of mathematics journals">List of mathematics journals</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Mathematicians">Mathematicians</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=24" title="Edit section: Mathematicians"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">Main article: <a href="/wiki/List_of_mathematicians" class="mw-redirect" title="List of mathematicians">List of mathematicians</a></div> <p><a href="/wiki/Mathematician" title="Mathematician">Mathematicians</a> study and research in all the different areas of mathematics. The publication of new discoveries in mathematics continues at an immense rate in hundreds of scientific journals, many of them devoted to mathematics and many devoted to subjects to which mathematics is applied (such as theoretical <a href="/wiki/Computer_science" title="Computer science">computer science</a> and <a href="/wiki/Theoretical_physics" title="Theoretical physics">theoretical physics</a>). </p> <ul><li><a href="/wiki/List_of_films_about_mathematicians" title="List of films about mathematicians">List of films about mathematicians</a></li> <li><a href="/wiki/List_of_game_theorists" title="List of game theorists">List of game theorists</a></li> <li><a href="/wiki/List_of_geometers" title="List of geometers">List of geometers</a></li> <li><a href="/wiki/List_of_logicians" title="List of logicians">List of logicians</a></li> <li><a href="/wiki/List_of_mathematicians" class="mw-redirect" title="List of mathematicians">List of mathematicians</a></li> <li><a href="/wiki/List_of_mathematical_probabilists" title="List of mathematical probabilists">List of mathematical probabilists</a></li> <li><a href="/wiki/List_of_statisticians" title="List of statisticians">List of statisticians</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Work_of_particular_mathematicians">Work of particular mathematicians</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=25" title="Edit section: Work of particular mathematicians"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236090951"><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/Category:Lists_of_things_named_after_mathematicians" title="Category:Lists of things named after mathematicians">Category:Lists of things named after mathematicians</a></div> <ul><li><a href="/wiki/List_of_things_named_after_Niels_Henrik_Abel" title="List of things named after Niels Henrik Abel">List of things named after Niels Henrik Abel</a></li> <li><a href="/wiki/List_of_things_named_after_George_Airy" title="List of things named after George Airy">List of things named after George Airy</a></li> <li><a href="/wiki/List_of_things_named_after_Jean_d%27Alembert" title="List of things named after Jean d&#39;Alembert">List of things named after Jean d'Alembert</a></li> <li><a href="/wiki/List_of_things_named_after_Archimedes" title="List of things named after Archimedes">List of things named after Archimedes</a></li> <li><a href="/wiki/List_of_things_named_after_Vladimir_Arnold" title="List of things named after Vladimir Arnold">List of things named after Vladimir Arnold</a></li> <li><a href="/wiki/List_of_things_named_after_Emil_Artin" title="List of things named after Emil Artin">List of things named after Emil Artin</a></li> <li><a href="/wiki/List_of_things_named_after_Stefan_Banach" title="List of things named after Stefan Banach">List of things named after Stefan Banach</a></li> <li><a href="/wiki/List_of_things_named_after_Thomas_Bayes" title="List of things named after Thomas Bayes">List of things named after Thomas Bayes</a></li> <li><a href="/wiki/List_of_things_named_after_members_of_the_Bernoulli_family" title="List of things named after members of the Bernoulli family">List of things named after members of the Bernoulli family</a></li> <li><a href="/wiki/List_of_things_named_after_Jakob_Bernoulli" title="List of things named after Jakob Bernoulli">List of things named after Jakob Bernoulli</a></li> <li><a href="/wiki/List_of_things_named_after_Friedrich_Bessel" title="List of things named after Friedrich Bessel">List of things named after Friedrich Bessel</a></li> <li><a href="/wiki/List_of_things_named_after_%C3%89lie_Cartan" title="List of things named after Élie Cartan">List of things named after Élie Cartan</a></li> <li><a href="/wiki/List_of_things_named_after_Augustin-Louis_Cauchy" title="List of things named after Augustin-Louis Cauchy">List of things named after Augustin-Louis Cauchy</a></li> <li><a href="/wiki/List_of_things_named_after_Arthur_Cayley" title="List of things named after Arthur Cayley">List of things named after Arthur Cayley</a></li> <li><a href="/wiki/List_of_things_named_after_Pafnuty_Chebyshev" title="List of things named after Pafnuty Chebyshev">List of things named after Pafnuty Chebyshev</a></li> <li><a href="/wiki/List_of_things_named_after_John_Horton_Conway" title="List of things named after John Horton Conway">List of things named after John Horton Conway</a></li> <li><a href="/wiki/List_of_things_named_after_Richard_Dedekind" title="List of things named after Richard Dedekind">List of things named after Richard Dedekind</a></li> <li><a href="/wiki/List_of_things_named_after_Pierre_Deligne" class="mw-redirect" title="List of things named after Pierre Deligne">List of things named after Pierre Deligne</a></li> <li><a href="/wiki/List_of_things_named_after_Peter_Gustav_Lejeune_Dirichlet" title="List of things named after Peter Gustav Lejeune Dirichlet">List of things named after Peter Gustav Lejeune Dirichlet</a></li> <li><a href="/wiki/List_of_things_named_after_Albert_Einstein" title="List of things named after Albert Einstein">List of things named after Albert Einstein</a></li> <li><a href="/wiki/List_of_things_named_after_Euclid" title="List of things named after Euclid">List of things named after Euclid</a></li> <li><a href="/wiki/List_of_things_named_after_Leonhard_Euler" class="mw-redirect" title="List of things named after Leonhard Euler">List of things named after Leonhard Euler</a></li> <li><a href="/wiki/List_of_things_named_after_Paul_Erd%C5%91s" title="List of things named after Paul Erdős">List of things named after Paul Erdős</a></li> <li><a href="/wiki/List_of_things_named_after_Pierre_de_Fermat" title="List of things named after Pierre de Fermat">List of things named after Pierre de Fermat</a></li> <li><a href="/wiki/List_of_things_named_after_Fibonacci" title="List of things named after Fibonacci">List of things named after Fibonacci</a></li> <li><a href="/wiki/List_of_things_named_after_Joseph_Fourier" title="List of things named after Joseph Fourier">List of things named after Joseph Fourier</a></li> <li><a href="/wiki/List_of_things_named_after_Erik_Fredholm" class="mw-redirect" title="List of things named after Erik Fredholm">List of things named after Erik Fredholm</a></li> <li><a href="/wiki/List_of_things_named_after_Ferdinand_Georg_Frobenius" title="List of things named after Ferdinand Georg Frobenius">List of things named after Ferdinand Georg Frobenius</a></li> <li><a href="/wiki/List_of_things_named_after_Carl_Friedrich_Gauss" title="List of things named after Carl Friedrich Gauss">List of things named after Carl Friedrich Gauss</a></li> <li><a href="/wiki/List_of_things_named_after_%C3%89variste_Galois" title="List of things named after Évariste Galois">List of things named after Évariste Galois</a></li> <li><a href="/wiki/List_of_things_named_after_Hermann_Grassmann" title="List of things named after Hermann Grassmann">List of things named after Hermann Grassmann</a></li> <li><a href="/wiki/List_of_things_named_after_Alexander_Grothendieck" title="List of things named after Alexander Grothendieck">List of things named after Alexander Grothendieck</a></li> <li><a href="/wiki/List_of_things_named_after_Jacques_Hadamard" title="List of things named after Jacques Hadamard">List of things named after Jacques Hadamard</a></li> <li><a href="/wiki/List_of_things_named_after_William_Rowan_Hamilton" title="List of things named after William Rowan Hamilton">List of things named after William Rowan Hamilton</a></li> <li><a href="/wiki/List_of_things_named_after_Erich_Hecke" title="List of things named after Erich Hecke">List of things named after Erich Hecke</a></li> <li><a href="/wiki/List_of_things_named_after_Eduard_Heine" title="List of things named after Eduard Heine">List of things named after Eduard Heine</a></li> <li><a href="/wiki/List_of_things_named_after_Charles_Hermite" title="List of things named after Charles Hermite">List of things named after Charles Hermite</a></li> <li><a href="/wiki/List_of_things_named_after_David_Hilbert" title="List of things named after David Hilbert">List of things named after David Hilbert</a></li> <li><a href="/wiki/List_of_things_named_after_W._V._D._Hodge" title="List of things named after W. V. D. Hodge">List of things named after W. V. D. Hodge</a></li> <li><a href="/wiki/List_of_things_named_after_Carl_Gustav_Jacob_Jacobi" title="List of things named after Carl Gustav Jacob Jacobi">List of things named after Carl Gustav Jacob Jacobi</a></li> <li><a href="/wiki/List_of_things_named_after_Johannes_Kepler" title="List of things named after Johannes Kepler">List of things named after Johannes Kepler</a></li> <li><a href="/wiki/List_of_things_named_after_Felix_Klein" title="List of things named after Felix Klein">List of things named after Felix Klein</a></li> <li><a href="/wiki/List_of_things_named_after_Joseph-Louis_Lagrange" title="List of things named after Joseph-Louis Lagrange">List of things named after Joseph-Louis Lagrange</a></li> <li><a href="/wiki/List_of_things_named_after_Johann_Lambert" title="List of things named after Johann Lambert">List of things named after Johann Lambert</a></li> <li><a href="/wiki/List_of_things_named_after_Pierre-Simon_Laplace" title="List of things named after Pierre-Simon Laplace">List of things named after Pierre-Simon Laplace</a></li> <li><a href="/wiki/List_of_things_named_after_Adrien-Marie_Legendre" title="List of things named after Adrien-Marie Legendre">List of things named after Adrien-Marie Legendre</a></li> <li><a href="/wiki/List_of_things_named_after_Gottfried_Leibniz" title="List of things named after Gottfried Leibniz">List of things named after Gottfried Leibniz</a></li> <li><a href="/wiki/List_of_things_named_after_Sophus_Lie" title="List of things named after Sophus Lie">List of things named after Sophus Lie</a></li> <li><a href="/wiki/List_of_things_named_after_Joseph_Liouville" title="List of things named after Joseph Liouville">List of things named after Joseph Liouville</a></li> <li><a href="/wiki/List_of_things_named_after_Andrey_Markov" title="List of things named after Andrey Markov">List of things named after Andrey Markov</a></li> <li><a href="/wiki/List_of_things_named_after_John_Milnor" title="List of things named after John Milnor">List of things named after John Milnor</a></li> <li><a href="/wiki/List_of_things_named_after_Hermann_Minkowski" title="List of things named after Hermann Minkowski">List of things named after Hermann Minkowski</a></li> <li><a href="/wiki/List_of_things_named_after_John_von_Neumann" title="List of things named after John von Neumann">List of things named after John von Neumann</a></li> <li><a href="/wiki/List_of_things_named_after_Isaac_Newton" title="List of things named after Isaac Newton">List of things named after Isaac Newton</a></li> <li><a href="/wiki/List_of_things_named_after_Emmy_Noether" title="List of things named after Emmy Noether">List of things named after Emmy Noether</a></li> <li><a href="/wiki/List_of_things_named_after_Henri_Poincar%C3%A9" title="List of things named after Henri Poincaré">List of things named after Henri Poincaré</a></li> <li><a href="/wiki/List_of_things_named_after_Sim%C3%A9on_Denis_Poisson" title="List of things named after Siméon Denis Poisson">List of things named after Siméon Denis Poisson</a></li> <li><a href="/wiki/List_of_things_named_after_Pythagoras" title="List of things named after Pythagoras">List of things named after Pythagoras</a></li> <li><a href="/wiki/List_of_things_named_after_Srinivasa_Ramanujan" title="List of things named after Srinivasa Ramanujan">List of things named after Srinivasa Ramanujan</a></li> <li><a href="/wiki/List_of_things_named_after_Bernhard_Riemann" title="List of things named after Bernhard Riemann">List of things named after Bernhard Riemann</a></li> <li><a href="/wiki/List_of_things_named_after_Issai_Schur" title="List of things named after Issai Schur">List of things named after Issai Schur</a></li> <li><a href="/wiki/List_of_things_named_after_Anatoliy_Skorokhod" class="mw-redirect" title="List of things named after Anatoliy Skorokhod">List of things named after Anatoliy Skorokhod</a></li> <li><a href="/wiki/List_of_things_named_after_George_Gabriel_Stokes" title="List of things named after George Gabriel Stokes">List of things named after George Gabriel Stokes</a></li> <li><a href="/wiki/List_of_things_named_after_Jean-Pierre_Serre" title="List of things named after Jean-Pierre Serre">List of things named after Jean-Pierre Serre</a></li> <li><a href="/wiki/List_of_things_named_after_James_Joseph_Sylvester" title="List of things named after James Joseph Sylvester">List of things named after James Joseph Sylvester</a></li> <li><a href="/wiki/List_of_things_named_after_Alfred_Tarski" title="List of things named after Alfred Tarski">List of things named after Alfred Tarski</a></li> <li><a href="/wiki/List_of_things_named_after_Alan_Turing" title="List of things named after Alan Turing">List of things named after Alan Turing</a></li> <li><a href="/wiki/List_of_things_named_after_Stanislaw_Ulam" title="List of things named after Stanislaw Ulam">List of things named after Stanislaw Ulam</a></li> <li><a href="/wiki/List_of_things_named_after_Karl_Weierstrass" title="List of things named after Karl Weierstrass">List of things named after Karl Weierstrass</a></li> <li><a href="/wiki/List_of_things_named_after_Andr%C3%A9_Weil" title="List of things named after André Weil">List of things named after André Weil</a></li> <li><a href="/wiki/List_of_things_named_after_Hermann_Weyl" title="List of things named after Hermann Weyl">List of things named after Hermann Weyl</a></li> <li><a href="/wiki/List_of_things_named_after_Norbert_Wiener" title="List of things named after Norbert Wiener">List of things named after Norbert Wiener</a></li> <li><a href="/wiki/List_of_things_named_after_Ernst_Witt" title="List of things named after Ernst Witt">List of things named after Ernst Witt</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Reference_tables">Reference tables</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=26" title="Edit section: Reference tables"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_mathematical_reference_tables" class="mw-redirect" title="List of mathematical reference tables">List of mathematical reference tables</a></li> <li><a href="/wiki/List_of_moments_of_inertia" title="List of moments of inertia">List of moments of inertia</a></li> <li><a href="/wiki/Table_of_derivatives" class="mw-redirect" title="Table of derivatives">Table of derivatives</a></li></ul> <div class="mw-heading mw-heading3"><h3 id="Integrals">Integrals</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=27" title="Edit section: Integrals"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>In calculus, the <a href="/wiki/Integral" title="Integral">integral</a> of a function is a generalization of area, mass, volume, sum, and total. The following pages list the integrals of many different functions. </p> <ul><li><a href="/wiki/Lists_of_integrals" title="Lists of integrals">Lists of integrals</a></li> <li><a href="/wiki/List_of_integrals_of_exponential_functions" title="List of integrals of exponential functions">List of integrals of exponential functions</a></li> <li><a href="/wiki/List_of_integrals_of_hyperbolic_functions" title="List of integrals of hyperbolic functions">List of integrals of hyperbolic functions</a></li> <li><a href="/wiki/List_of_integrals_of_inverse_hyperbolic_functions" title="List of integrals of inverse hyperbolic functions">List of integrals of inverse hyperbolic functions</a></li> <li><a href="/wiki/List_of_integrals_of_inverse_trigonometric_functions" title="List of integrals of inverse trigonometric functions">List of integrals of inverse trigonometric functions</a></li> <li><a href="/wiki/List_of_integrals_of_irrational_functions" title="List of integrals of irrational functions">List of integrals of irrational functions</a></li> <li><a href="/wiki/List_of_integrals_of_logarithmic_functions" title="List of integrals of logarithmic functions">List of integrals of logarithmic functions</a></li> <li><a href="/wiki/List_of_integrals_of_rational_functions" title="List of integrals of rational functions">List of integrals of rational functions</a></li> <li><a href="/wiki/List_of_integrals_of_trigonometric_functions" title="List of integrals of trigonometric functions">List of integrals of trigonometric functions</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Journals">Journals</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=28" title="Edit section: Journals"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/List_of_mathematics_journals" title="List of mathematics journals">List of mathematics journals</a></li> <li><a href="/wiki/List_of_mathematics_education_journals" title="List of mathematics education journals">List of mathematics education journals</a></li> <li><a href="/wiki/Category:History_of_science_journals" title="Category:History of science journals">Category:History of science journals</a></li> <li><a href="/wiki/Category:Philosophy_of_science_literature" title="Category:Philosophy of science literature">Category:Philosophy of science literature</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Meta-lists">Meta-lists</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=29" title="Edit section: Meta-lists"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Glossary_of_mathematical_symbols" title="Glossary of mathematical symbols">Glossary of mathematical symbols</a></li> <li><a href="/wiki/List_of_important_publications_in_mathematics" title="List of important publications in mathematics">List of important publications in mathematics</a></li> <li><a href="/wiki/List_of_important_publications_in_statistics" title="List of important publications in statistics">List of important publications in statistics</a></li> <li><a href="/wiki/List_of_mathematical_theories" title="List of mathematical theories">List of mathematical theories</a></li> <li><a href="/wiki/List_of_mathematics_categories" class="mw-redirect" title="List of mathematics categories">List of mathematics categories</a></li> <li><a href="/wiki/List_of_mathematical_symbols_by_subject" class="mw-redirect" title="List of mathematical symbols by subject">List of mathematical symbols by subject</a></li> <li><a href="/wiki/Table_of_logic_symbols" class="mw-redirect" title="Table of logic symbols">Table of logic symbols</a></li> <li><a href="/wiki/Table_of_mathematical_symbols" class="mw-redirect" title="Table of mathematical symbols">Table of mathematical symbols</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=30" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Areas_of_mathematics" class="mw-redirect" title="Areas of mathematics">Areas of mathematics</a></li> <li><a href="/wiki/Glossary_of_areas_of_mathematics" title="Glossary of areas of mathematics">Glossary of areas of mathematics</a></li> <li><a href="/wiki/Outline_of_mathematics" class="mw-redirect" title="Outline of mathematics">Outline of mathematics</a></li> <li><a href="/wiki/Timeline_of_women_in_mathematics" title="Timeline of women in mathematics">Timeline of women in mathematics</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Others">Others</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=31" title="Edit section: Others"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Lists_of_unsolved_problems_in_mathematics" class="mw-redirect" title="Lists of unsolved problems in mathematics">Lists of unsolved problems in mathematics</a></li> <li><a href="/wiki/List_of_order_theory_topics" title="List of order theory topics">List of order theory topics</a></li> <li><a href="/wiki/List_of_topics_related_to_%CF%80" title="List of topics related to π">List of topics related to π</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Notes">Notes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=32" title="Edit section: Notes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r1041539562">.mw-parser-output .citation{word-wrap:break-word}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}</style><span class="citation wikicite" id="endnote_1"><b><a href="#ref_1">^Note 1</a></b></span>&#160;: Definition from the <i>Journal of Mathematical Physics</i> <a rel="nofollow" class="external autonumber" href="https://web.archive.org/web/20061003233339/http://jmp.aip.org/jmp/staff.jsp">[1]</a>.</li></ul> <div class="mw-heading mw-heading2"><h2 id="External_links_and_references">External links and references</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Lists_of_mathematics_topics&amp;action=edit&amp;section=33" title="Edit section: External links and references"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://www.ams.org/msc">2000 Mathematics Subject Classification</a> from the <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>, scheme authors find many mathematics research journals asking them to use to classify their submissions; those published then include these classifications.</li> <li><a rel="nofollow" class="external text" href="https://www.math-atlas.org/">The Mathematical Atlas</a></li> <li><a rel="nofollow" class="external text" href="https://www.entrancei.com/maths-formulas">Maths Formula</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline 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<li><a class="mw-selflink selflink">Lists</a></li> <li><a href="/wiki/Glossary_of_mathematical_symbols" title="Glossary of mathematical symbols">Glossary</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Foundations_of_mathematics" title="Foundations of mathematics">Foundations</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Category_theory" title="Category theory">Category theory</a></li> <li><a href="/wiki/Information_theory" title="Information theory">Information theory</a></li> <li><a href="/wiki/Mathematical_logic" title="Mathematical logic">Mathematical logic</a></li> <li><a href="/wiki/Philosophy_of_mathematics" title="Philosophy of mathematics">Philosophy of mathematics</a></li> <li><a href="/wiki/Set_theory" title="Set theory">Set theory</a></li> <li><a href="/wiki/Type_theory" title="Type theory">Type theory</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Algebra" title="Algebra">Algebra</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Abstract_algebra" title="Abstract algebra">Abstract</a></li> <li><a href="/wiki/Commutative_algebra" title="Commutative algebra">Commutative</a></li> <li><a href="/wiki/Elementary_algebra" title="Elementary algebra">Elementary</a></li> <li><a href="/wiki/Group_theory" title="Group theory">Group theory</a></li> <li><a href="/wiki/Linear_algebra" title="Linear algebra">Linear</a></li> <li><a href="/wiki/Multilinear_algebra" title="Multilinear algebra">Multilinear</a></li> <li><a href="/wiki/Universal_algebra" title="Universal algebra">Universal</a></li> <li><a href="/wiki/Homological_algebra" title="Homological algebra">Homological</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Mathematical_analysis" title="Mathematical analysis">Analysis</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Calculus" title="Calculus">Calculus</a></li> <li><a href="/wiki/Real_analysis" title="Real analysis">Real analysis</a></li> <li><a href="/wiki/Complex_analysis" title="Complex analysis">Complex analysis</a></li> <li><a href="/wiki/Hypercomplex_analysis" title="Hypercomplex analysis">Hypercomplex analysis</a></li> <li><a href="/wiki/Differential_equation" title="Differential equation">Differential equations</a></li> <li><a href="/wiki/Functional_analysis" title="Functional analysis">Functional analysis</a></li> <li><a href="/wiki/Harmonic_analysis" title="Harmonic analysis">Harmonic analysis</a></li> <li><a href="/wiki/Measure_(mathematics)" title="Measure (mathematics)">Measure theory</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Discrete_mathematics" title="Discrete mathematics">Discrete</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Combinatorics" title="Combinatorics">Combinatorics</a></li> <li><a href="/wiki/Graph_theory" title="Graph theory">Graph theory</a></li> <li><a href="/wiki/Order_theory" title="Order theory">Order theory</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Geometry" title="Geometry">Geometry</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Algebraic_geometry" title="Algebraic geometry">Algebraic</a></li> <li><a href="/wiki/Analytic_geometry" title="Analytic geometry">Analytic</a></li> <li><a href="/wiki/Arithmetic_geometry" title="Arithmetic geometry">Arithmetic</a></li> <li><a href="/wiki/Differential_geometry" title="Differential geometry">Differential</a></li> <li><a href="/wiki/Discrete_geometry" title="Discrete geometry">Discrete</a></li> <li><a href="/wiki/Euclidean_geometry" title="Euclidean geometry">Euclidean</a></li> <li><a href="/wiki/Finite_geometry" title="Finite geometry">Finite</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Number_theory" title="Number theory">Number theory</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Arithmetic" title="Arithmetic">Arithmetic</a></li> <li><a href="/wiki/Algebraic_number_theory" title="Algebraic number theory">Algebraic number theory</a></li> <li><a href="/wiki/Analytic_number_theory" title="Analytic number theory">Analytic number theory</a></li> <li><a href="/wiki/Diophantine_geometry" title="Diophantine geometry">Diophantine geometry</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Topology" title="Topology">Topology</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/General_topology" title="General topology">General</a></li> <li><a href="/wiki/Algebraic_topology" title="Algebraic topology">Algebraic</a></li> <li><a href="/wiki/Differential_topology" title="Differential topology">Differential</a></li> <li><a href="/wiki/Geometric_topology" title="Geometric topology">Geometric</a></li> <li><a href="/wiki/Homotopy_theory" title="Homotopy theory">Homotopy theory</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Applied_mathematics" title="Applied mathematics">Applied</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Engineering_mathematics" title="Engineering mathematics">Engineering mathematics</a></li> <li><a href="/wiki/Mathematical_and_theoretical_biology" title="Mathematical and theoretical biology">Mathematical biology</a></li> <li><a href="/wiki/Mathematical_chemistry" title="Mathematical chemistry">Mathematical chemistry</a></li> <li><a href="/wiki/Mathematical_economics" title="Mathematical economics">Mathematical economics</a></li> <li><a href="/wiki/Mathematical_finance" title="Mathematical finance">Mathematical finance</a></li> <li><a href="/wiki/Mathematical_physics" title="Mathematical physics">Mathematical physics</a></li> <li><a href="/wiki/Mathematical_psychology" title="Mathematical psychology">Mathematical psychology</a></li> <li><a href="/wiki/Mathematical_sociology" title="Mathematical sociology">Mathematical sociology</a></li> <li><a href="/wiki/Mathematical_statistics" title="Mathematical statistics">Mathematical statistics</a></li> <li><a href="/wiki/Probability_theory" title="Probability theory">Probability</a></li> <li><a href="/wiki/Statistics" title="Statistics">Statistics</a></li> <li><a href="/wiki/Systems_science" title="Systems science">Systems science</a> <ul><li><a href="/wiki/Control_theory" title="Control theory">Control theory</a></li> <li><a href="/wiki/Game_theory" title="Game theory">Game theory</a></li> <li><a href="/wiki/Operations_research" title="Operations research">Operations research</a></li></ul></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Computational_mathematics" title="Computational mathematics">Computational</a></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Computer_science" title="Computer science">Computer science</a></li> <li><a href="/wiki/Theory_of_computation" title="Theory of computation">Theory of computation</a></li> <li><a href="/wiki/Computational_complexity_theory" title="Computational complexity theory">Computational complexity theory</a></li> <li><a href="/wiki/Numerical_analysis" title="Numerical analysis">Numerical analysis</a></li> <li><a href="/wiki/Mathematical_optimization" title="Mathematical optimization">Optimization</a></li> <li><a href="/wiki/Computer_algebra" title="Computer algebra">Computer algebra</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a class="mw-selflink selflink">Related topics</a></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Mathematicians" class="mw-redirect" title="Mathematicians">Mathematicians</a> <ul><li><a href="/wiki/List_of_mathematicians" class="mw-redirect" title="List of mathematicians">lists</a></li></ul></li> <li><a href="/wiki/Informal_mathematics" title="Informal mathematics">Informal mathematics</a></li> <li><a href="/wiki/List_of_films_about_mathematicians" title="List of films about mathematicians">Films about mathematicians</a></li> <li><a href="/wiki/Recreational_mathematics" title="Recreational mathematics">Recreational mathematics</a></li> <li><a href="/wiki/Mathematics_and_art" title="Mathematics and art">Mathematics and art</a></li> <li><a href="/wiki/Mathematics_education" title="Mathematics education">Mathematics education</a></li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2"><div> <ul><li><b><span class="nowrap"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Nuvola_apps_edu_mathematics_blue-p.svg" class="mw-file-description"><img alt="icon" src="//upload.wikimedia.org/wikipedia/commons/thumb/3/3e/Nuvola_apps_edu_mathematics_blue-p.svg/16px-Nuvola_apps_edu_mathematics_blue-p.svg.png" decoding="async" width="16" height="16" class="mw-file-element" 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