CINXE.COM
Geometry and Topology of Manifolds: Surfaces and Beyond
<!DOCTYPE html> <html lang="en"> <head> <!-- cookie consent code --> <link rel="stylesheet" type="text/css" href="https://www.ams.org/css/cookieconsent.min.css" /> <script src="https://www.ams.org/js/cookieconsent.min.js"></script> <script> window.addEventListener("load", function () { window.cookieconsent.initialise({ "palette": { "popup": { "background": "#edeff5", "text": "#000000" }, "button": { "background": "#4b81e8" } }, "theme": "classic", "position": "bottom-right", "content": { "message": "This website uses cookies to ensure you get the best experience on our website.", "href": "https://www.ams.org/privacy", "dismiss": "Okay", "link": "Learn more about our privacy policy" } }) }); </script> <!-- end cookie consent code --> <!-- Google tag (gtag.js) --> <script async src="https://www.googletagmanager.com/gtag/js?id=G-26G4XFTR63"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-26G4XFTR63'); </script> <!-- Google Tag Manager --> <script> (function (w, d, s, l, i) { w[l] = w[l] || []; w[l].push({ 'gtm.start': new Date().getTime(), event: 'gtm.js' }); var f = d.getElementsByTagName(s)[0], j = d.createElement(s), dl = l != 'dataLayer' ? '&l=' + l : ''; j.async = true; j.src = 'https://www.googletagmanager.com/gtm.js?id=' + i + dl; f.parentNode.insertBefore(j, f); })(window, document, 'script', 'dataLayer', 'GTM-P3772VN');</script> <!-- End Google Tag Manager --> <meta charset="utf-8" /> <meta name="viewport" content="width=device-width, initial-scale=1.0, minimum-scale=1" /> <title>Geometry and Topology of Manifolds: Surfaces and Beyond</title> <link rel="stylesheet" href="/lib/bootstrap/dist/css/bootstrap.min.css" /> <link rel="stylesheet" href="/css/site.css?v=la2wBcwNrtsWnRcKs9-t6qPZCC77Hs6CAduqGL_rRNM" /> <link rel="stylesheet" href="/AMS.Bookstore.Web.styles.css?v=mEUDLZZE54KYSwZwWfP3PP5vkomreysVvvDaU6mwQPY" /> <link rel="stylesheet" href="/css/modal.css?v=jRvw7By4TNDoJZ_KpsQbElRYsNpbzhWunAP5-eocRzk" /> <link rel="stylesheet" href="/css/loadingPanel.css?v=lBJGOYH_EIEBMMe17FTOETO6n2E9cwL1WhqodiMLsoM" /> <link rel="stylesheet" href="/css/cart.css?v=OO3e6LoNzay9iX1eQBG8Hnya8fMmx9ZQBbFa7WLeDZ8" /> <script src="/lib/jquery/dist/jquery.min.js"></script> <script src="/lib/bootstrap/dist/js/bootstrap.bundle.min.js"></script> <script src="/js/site.js?v=LNn6T9_eOayER-rY4wenC0n8eJ4RYNIEiMf3HRxDv-4"></script> <script src="https://kit.fontawesome.com/2ad6d7fbd6.js" crossorigin="anonymous"></script> <script src="/lib/sharethis/js/sharethis.js?v=MwmBK2LdmpagMX_OQV5w4rl5KC5hV5U2i72SiTbLwSs#property=63d912115a2f67001342bdf7&product=inline-share-buttons&source=platform"></script> <script type="text/javascript"> $(document).ready(function() { $("#ViewModelLink").addClass("active"); $(".loginLogout").click(setRedirect); $(".cartCounter").html($("#cartCountPlaceholder").html()); handleCustomShareConfig(); handleInfoHeader('2024/11/22|22:43'); }); function setRedirect() { event.preventDefault(); if ("https://bookstore.ams.org/view?ProductCode=GSM/208" == "") { // we are on the browse page, need to set propery with javascript() var returnUrl = getShareUrl(); returnUrl = encodeURIComponent(returnUrl); var baseUrl = $(this).prop("href"); var questionOrAnd = baseUrl.includes("?") ? "&" : "?"; location.href = baseUrl + questionOrAnd + "returnUrl=" + returnUrl; } else { location.href = $(this).prop("href"); } } </script> </head> <body> <!-- Google Tag Manager (noscript) --> <noscript b-nlceesq935> <iframe b-nlceesq935 src="https://www.googletagmanager.com/ns.html?id=GTM-P3772VN" height="0" width="0" style="display:none;visibility:hidden"></iframe> </noscript> <!-- End Google Tag Manager (noscript) --> <div b-nlceesq935 id="cartCountPlaceholder" style="display:none"><div class="cart"> <a class="cart" href="https://ebus.ams.org/ebus/ShoppingCart.aspx"> <span class="showItems"> <span class="cartCountLabel"> 0 </span> </span> </a> </div></div> <div b-nlceesq935 class="headerLogoSearchContainer"> <div b-nlceesq935 role="banner" class="headerLogoSearchContainerTopRow"> <div b-nlceesq935 class="headerLogoContainer mobile"> <button b-nlceesq935 id="headerLogoMenuButton" class="headerLogoMenuContainer" onclick="openSideNav(event);" onkeypress="handleKeypressForClick(event)" tabindex="0" aria-label="Open side navigation menu"></button> <div b-nlceesq935><a b-nlceesq935 href="/" aria-label="Link to browse"><img b-nlceesq935 src="/images/ams-bookstore-logo.png" alt="AMS Logo"></a></div> <div b-nlceesq935 class="headerLogoCartContainer"> <div b-nlceesq935 id="cartCounter" class="cartCounter"> </div> </div> </div> <div b-nlceesq935 class="headerLogoContainer wide"> <a b-nlceesq935 href="/" aria-label="Link to browse"><img b-nlceesq935 src="/images/ams-bookstore-logo.png" alt="AMS Logo"></a> </div> <div b-nlceesq935 class="headerLogoRightResponsive"> <div b-nlceesq935 class="headerRightSideActionItems"> <div b-nlceesq935 class="headerNavLinks"> <ul b-nlceesq935 class="navbar-nav flex-grow-1"> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 href="https://www.ams.org" target="_blank" class="nav-link text-dark">AMS Home<span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> </li> <li b-nlceesq935 class="nav-item"> <a class="nav-link text-dark" href="/Bookshelf">My Bookshelf</a> </li> <li b-nlceesq935 class="nav-item"> <a class="nav-link text-dark loginLogout" href="/Account/Login?returnUrl=https%3A%2F%2Fbookstore.ams.org%2Fview%3FProductCode%3DGSM%2F208">Login</a> </li> </ul> </div> <div b-nlceesq935 class="headerSearchContainer"> <link rel="stylesheet" href="/css/simpleSearch.css?v=Zp72v9BNKGS-eDr-MLHDvaAIQNNugvRUQM_CWL_F0l8" /> <link rel="stylesheet" href="//code.jquery.com/ui/1.13.1/themes/base/jquery-ui.css"> <script src="https://code.jquery.com/ui/1.13.1/jquery-ui.js"></script> <script src="/js/simpleSearch.js?v=176KrpHOwVdaFKNW5L7MgS2hJg1vembFvfNgHaMs8Vc"></script> <div role="search" id="simpleSearchContainer" class="simpleSearchContainer"> <div id="simpleSearchInputWrapper" class="simpleSearchInputWrapper" > <div class="simpleSearchMenuBtnContainer" onclick="openSideNav(event);" onkeypress="handleKeypressForClick(event)" tabindex="0"></div> <input id="simpleSearchInput" class="form-control simpleSearchInput" type="search" placeholder="Search the AMS Bookstore" autocomplete="off" aria-describedby="initInstr" aria-owns="searchSuggestionsResults" aria-expanded="false" aria-autocomplete="both" aria-activedescendant="" /><label class="hiddenLabel" for="simpleSearchInput">Search the AMS Bookstore</label> <div class="simpleSearchIconContainer"><button class="simpleSearchBtn" onclick="performSimpleSearch($('#simpleSearchInput').val())"><svg width="18" height="18" viewBox="0 0 13 13"><title>search</title><path d="m4.8495 7.8226c0.82666 0 1.5262-0.29146 2.0985-0.87438 0.57232-0.58292 0.86378-1.2877 0.87438-2.1144 0.010599-0.82666-0.28086-1.5262-0.87438-2.0985-0.59352-0.57232-1.293-0.86378-2.0985-0.87438-0.8055-0.010599-1.5103 0.28086-2.1144 0.87438-0.60414 0.59352-0.8956 1.293-0.87438 2.0985 0.021197 0.8055 0.31266 1.5103 0.87438 2.1144 0.56172 0.60414 1.2665 0.8956 2.1144 0.87438zm4.4695 0.2115 3.681 3.6819-1.259 1.284-3.6817-3.7 0.0019784-0.69479-0.090043-0.098846c-0.87973 0.76087-1.92 1.1413-3.1207 1.1413-1.3553 0-2.5025-0.46363-3.4417-1.3909s-1.4088-2.0686-1.4088-3.4239c0-1.3553 0.4696-2.4966 1.4088-3.4239 0.9392-0.92727 2.0864-1.3969 3.4417-1.4088 1.3553-0.011889 2.4906 0.45771 3.406 1.4088 0.9154 0.95107 1.379 2.0924 1.3909 3.4239 0 1.2126-0.38043 2.2588-1.1413 3.1385l0.098834 0.090049z"></path></svg></button></div> <span id="initInstr" style="display: none;">When autocomplete results are available use up and down arrows to review and enter to select. Touch device users, explore by touch or with swipe gestures.</span> <div id="simpleSearchStatus" role="status" aria-live="polite" aria-relevant="additions" class="sr-only"></div> </div> </div> <input name="__RequestVerificationToken" type="hidden" value="CfDJ8IxuUvaeZRREi9I41erTZ0tUQLSxhLMMhKc_7-C_MZhJgMAMimieAokb73fgur76iY-fGlW60MDBYmcJtBxkoZntIVVf4YdQTF8choTjLUFf3V4XZZcThVLw4_7_n78fC3YpfGJ4Up5JcydtS5Pnrrs" /> <script type="text/javascript"> $(document).ready(function () { initSearchSuggestions(); }); </script> <div b-nlceesq935 class="headerNavLinks advancedSearchBtnLinkContainer"> <a id="AdvancedSearchLink" class="advancedSearchLink nav-link text-dark" href="/AdvancedSearch">Advanced Search</a> </div> <div b-nlceesq935 id="cartCounterWide" class="cartCounter wide"> </div> </div> </div> </div> </div> <div b-nlceesq935 role="navigation" class="headerNavLinks fullWidthMenu"> <ul b-nlceesq935 class="navbar-nav flex-grow-1"> <li b-nlceesq935 class="nav-item"> <a id="BrowseModelLink" class="nav-link text-dark" href="/Browse">Browse</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="belowHeaderBooksOnSaleLink" class="nav-link text-dark" href="/books-on-sale">On Sale</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="belowHeaderMAAPressLink" class="nav-link text-dark" href="/maa-press-browse">MAA Press Books</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="belowHeaderTextbookLink" class="nav-link text-dark" href="/bookstore-textbooks">Textbooks</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="belowHeaderBookSeriesLink" class="nav-link text-dark" href="/bookstore-series">Book Series</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="belowHeaderEBookCollectionsLink" class="nav-link text-dark" href="https://www.ams.org/ebooks" target="_blank">eBook Collections<span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> </li> </ul> </div> </div> <div b-nlceesq935 role="navigation" class="sideNav"> <ul b-nlceesq935 class="sideNavUl"> <li b-nlceesq935> <button b-nlceesq935 class="headerLogoMenuContainer close" onclick="closeSideNav();" onkeypress="handleCloseSideNaveKeypress(event)" tabindex="0" aria-label="Close side navigation menu"></button> </li> <li b-nlceesq935 class="nav-item"> <a id="advancedSearchLinkSideNav" class="advancedSearchLink" class="nav-link" href="/AdvancedSearch">Advanced Search</a> </li> <li b-nlceesq935 class="nav-item"> <a id="browseModelLink" class="nav-link" href="/Browse">Browse</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="sideMenuBooksOnSaleLink" class="nav-link" href="/books-on-sale">On Sale</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="sideMenuMAAPressLink" class="nav-link" href="/maa-press-browse">MAA Press Books</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="sideMenuTextbookLink" class="nav-link" href="/bookstore-textbooks">Textbooks</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="sideMenuBookSeriesLink" class="nav-link" href="/bookstore-series">Book Series</a> </li> <li b-nlceesq935 class="nav-item"> <a b-nlceesq935 id="sideMenuEBookCollectionsLink" class="nav-link" href="https://www.ams.org/ebooks" target="_blank">eBook Collections<span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> </li> <li b-nlceesq935 class="nav-item userAccountSection"> <a class="nav-link" href="/Bookshelf">My Bookshelf</a> </li> <li b-nlceesq935 class="nav-item"> <a class="nav-link loginLogout" href="/Account/Login?returnUrl=https%3A%2F%2Fbookstore.ams.org%2Fview%3FProductCode%3DGSM%2F208">Login</a> </li> </ul> </div> <div b-nlceesq935 class="sideNavOverlay"></div> <div b-nlceesq935 class="container"> <main b-nlceesq935 role="main" class="pb-3"> <link rel="stylesheet" href="/css/productDetail.css?v=8wTo-qBSXLRtwPS2hSRn9z0JJhfRBwjywU8YT_JBIbQ" /> <link rel="stylesheet" href="/lib/slick/dist/slick.css"> <link rel="stylesheet" href="/lib/slick/dist/slick-theme.css"> <script src="/lib/slick/dist/slick.js"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ tex2jax: { inlineMath: [['$','$'], ['\\(','\\)']], processEscapes: true }, loader: {load: ['[tex]/textmacros']}, tex: {packages: {'[+]': ['textmacros']}} }); </script> <script src="/js/view.js?v=_C42r0h9hUiY7WdI7n_pmeH7hE79qf9vcFdDdchBPJk"></script> <script type="text/javascript"> productDetailObj = {"ProductId":846679895,"ProductCode":"GSM/208","Title":"Geometry and Topology of Manifolds","Subtitle":"Surfaces and Beyond","AMSFlags":"EDLVL_GRAD,RBS,STXT,TXT","MSCs":"57-02||P,53-02||P,55-02||P,30Fxx||P,53Cxx||P","CopyrightYear":"2020","PageCount":"408","CoverType":"S","SeriesCode":"GSM","Series":"Graduate Studies in Mathematics","Subseries":"","ProductClassCode":"BS","Volume":"208","ProductDescription":"\u003Cp\u003E This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal. \u003Cbr /\u003E\u003Cbr /\u003E Each chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study. \u003Cbr /\u003E\u003Cbr /\u003E The book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.\u003C/p\u003E ","Readership":"\u003Cp\u003EUndergraduate and graduate students interested in\nteaching and learning the basics of algebraic and differential\ntopology.\u003C/p\u003E","SmallImage":"https://ebus.ams.org/ProductImages/gsm-208-e-cov-sm.jpg","LargeImage":"https://ebus.ams.org/ProductImages/gsm-208-e-cov-1.jpg","Alt1SmallImage":"gsm-208-e-back-1.jpg","Alt1LargeImage":"gsm-208-e-back-1.jpg","Alt2SmallImage":"","Alt2LargeImage":"","DefaultImageAltText":"Geometry and Topology of Manifolds","Alt1ImageAltText":"Back Cover for Geometry and Topology of Manifolds","Alt2ImageAltText":"Geometry and Topology of Manifolds","Imprint":"","PublisherText":"","CooperationText":"This book is published in cooperation with Real Socied\u0026aacute;d Matematica Espa\u0026ntilde;ola.","OutOfStockReason":"","NextReceiptDate":"1900-01-01T00:00:00","AdditionalAuthorText":"","Distribution":"","SeriesDistribution":"","AdditionalSeriesText":"","RelatedCustomers":[{"RelationshipType":"AUTHOR","FullName":"Vicente Mu\u0026ntilde;oz","FirstName":null,"MiddleName":null,"LastName":null,"Suffix":null,"MasterCustomerId":null,"MRAuthorId":null,"Email":null,"CustomerSequence":1,"Affiliation":"Universidad de M\u0026aacute;laga, M\u0026aacute;laga, Spain","AffiliationSequence":1,"FirstEditor":false,"Url":null},{"RelationshipType":"AUTHOR","FullName":"\u0026Aacute;ngel Gonz\u0026aacute;lez-Prieto","FirstName":null,"MiddleName":null,"LastName":null,"Suffix":null,"MasterCustomerId":null,"MRAuthorId":null,"Email":null,"CustomerSequence":2,"Affiliation":"Universidad Polit\u0026eacute;cnica de Madrid, Madrid, Spain","AffiliationSequence":1,"FirstEditor":false,"Url":null},{"RelationshipType":"AUTHOR","FullName":"Juan \u0026Aacute;ngel Rojo","FirstName":null,"MiddleName":null,"LastName":null,"Suffix":null,"MasterCustomerId":null,"MRAuthorId":null,"Email":null,"CustomerSequence":3,"Affiliation":"Universidad Polit\u0026eacute;cnica de Madrid, Madrid, Spain","AffiliationSequence":1,"FirstEditor":false,"Url":null}],"AddToCartItems":[{"ProductId":846679895,"ProductCode":"GSM/208","ISBN":"978-1-4704-6132-4","RelatedType":"ORIGINAL","PageCount":"408","CoverType":"S","OutOfStockReason":"","NextReceiptDate":"0001-01-01T00:00:00","RateItems":[{"RateStructure":"LIST","RateCode":"STD","Price":89.00},{"RateStructure":"MAA","RateCode":"STD","Price":80.10},{"RateStructure":"MEM","RateCode":"STD","Price":71.20}]},{"ProductId":897856161,"ProductCode":"GSM/208.E","ISBN":"978-1-4704-6162-1","RelatedType":"ELECTRONIC","PageCount":"408","CoverType":"E","OutOfStockReason":"","NextReceiptDate":"0001-01-01T00:00:00","RateItems":[{"RateStructure":"LIST","RateCode":"STD","Price":89.00},{"RateStructure":"MAA","RateCode":"STD","Price":80.10},{"RateStructure":"MEM","RateCode":"STD","Price":71.20}]},{"ProductId":1314335352,"ProductCode":"GSM/208.B","ISBN":null,"RelatedType":"BUNDLE","PageCount":"408","CoverType":"S","OutOfStockReason":"","NextReceiptDate":"0001-01-01T00:00:00","RateItems":[{"RateStructure":"LIST","RateCode":"STD","Price":133.50},{"RateStructure":"MAA","RateCode":"STD","Price":120.15},{"RateStructure":"MEM","RateCode":"STD","Price":106.80}]}],"TOCItems":[{"Title":"Chapters","Contributors":null,"SeqNo":1,"StartPage":0,"EndPage":0,"Level":0,"MrArticleId":null},{"Title":"Topological surfaces","Contributors":null,"SeqNo":2,"StartPage":1,"EndPage":51,"Level":1,"MrArticleId":""},{"Title":"Algebraic topology","Contributors":null,"SeqNo":3,"StartPage":53,"EndPage":135,"Level":1,"MrArticleId":""},{"Title":"Riemannian geometry","Contributors":null,"SeqNo":4,"StartPage":137,"EndPage":196,"Level":1,"MrArticleId":""},{"Title":"Constant curvature","Contributors":null,"SeqNo":5,"StartPage":197,"EndPage":264,"Level":1,"MrArticleId":""},{"Title":"Complex geometry","Contributors":null,"SeqNo":6,"StartPage":265,"EndPage":341,"Level":1,"MrArticleId":""},{"Title":"Global analysis","Contributors":null,"SeqNo":7,"StartPage":343,"EndPage":389,"Level":1,"MrArticleId":""}],"ReviewItems":[{"ReviewText":"\u003Cp\u003EThe book should be well-suited for several types of\ngraduate-level geometry courses: The material encompasses manifolds and\ncategories; the basics of homotopy, singular homology, and de Rham\ncohomology; Riemannian metrics, curvature and uniformization;\nholomorphic structures; and enough global analysis for Hodge theory,\nthe existence of metrics of constant Gaussian curvature, and basic\ncurvature flow. Each chapter provides useful supplementary reading,\nfrom textbooks to original papers, and contains numerous exercises of\nvarying levels of difficulty. There is an extensive index and a\ncomprehensive table of notation indexed by the page where notation\nfirst appears.\u003C/p\u003E\n\n\u003Cp\u003E...The authors provide proofs of results, such as triangulation of\nsurfaces, that in other textbooks are often outsourced, and they\nprovide detailed references for results they do not prove. They have\nalso made an effort to draw \u0027cultural links\u0027 between disparate parts\nof the material, the way a good instructor might.\u003C/p\u003E","Source":"Andrew D. Hwang, College of the Holy\nCross","SeqNo":1}],"AwardItems":[],"RevisionItems":[],"FileItems":[{"FileTypeCode":"INDEX","FileName":"gsm-208-index.pdf","SortOrder":-1,"DisplayName":"","FullUrl":"https://www.ams.org/bookstore/pspdf/gsm-208-index.pdf"},{"FileTypeCode":"PREF","FileName":"gsm-208-pref.pdf","SortOrder":-1,"DisplayName":"","FullUrl":"https://www.ams.org/bookstore/pspdf/gsm-208-pref.pdf"},{"FileTypeCode":"PREV","FileName":"gsm-208-prev.pdf","SortOrder":-1,"DisplayName":"","FullUrl":"https://www.ams.org/bookstore/pspdf/gsm-208-prev.pdf"},{"FileTypeCode":"TOC","FileName":"gsm-208-toc.pdf","SortOrder":-1,"DisplayName":"","FullUrl":"https://www.ams.org/bookstore/pspdf/gsm-208-toc.pdf"},{"FileTypeCode":"SUP","FileName":"gsm-208","SortOrder":7,"DisplayName":"","FullUrl":"https://www.ams.org/publications/authors/books/postpub/gsm-208"}],"CrossSellProducts":[{"ProductId":4455,"ProductCode":"GSM/107","Title":"Manifolds and Differential Geometry","Subtitle":null,"AMSFlags":null,"MSCs":null,"CopyrightYear":null,"PageCount":null,"CoverType":null,"SeriesCode":null,"Series":null,"Subseries":null,"ProductClassCode":null,"Volume":null,"ProductDescription":null,"Readership":null,"SmallImage":"gsm-107-e-cov-sm.jpg","LargeImage":"gsm-107-e-cov-1.jpg","Alt1SmallImage":null,"Alt1LargeImage":null,"Alt2SmallImage":null,"Alt2LargeImage":null,"DefaultImageAltText":null,"Alt1ImageAltText":null,"Alt2ImageAltText":null,"Imprint":null,"PublisherText":null,"CooperationText":null,"OutOfStockReason":null,"NextReceiptDate":"0001-01-01T00:00:00","AdditionalAuthorText":null,"Distribution":null,"SeriesDistribution":null,"AdditionalSeriesText":null,"RelatedCustomers":[],"AddToCartItems":[],"TOCItems":[],"ReviewItems":[],"AwardItems":[],"RevisionItems":[],"FileItems":[],"CrossSellProducts":[],"SetProducts":[],"IncludedInSets":[],"AllowCopyrightPermissionFlag":null,"EpubISBN":null,"GetPermissionsItems":[],"ProductOptions":[],"PointsEligibleFlag":null,"ProductMedia":[],"InstructorsManualFlag":null,"InstructorsSolutionManualFlag":null,"ProductText":[],"AllowDeskExamCopyRequest":null,"EstimatedPagesFlag":null,"AddToCartFlag":null,"DisplayAuthorEditorFlag":null}],"SetProducts":[],"IncludedInSets":[],"AllowCopyrightPermissionFlag":"true","EpubISBN":"978-1-4704-6934-4","GetPermissionsItems":[{"ProductId":846679895,"ProductCode":null,"ISBN":"978-1-4704-6132-4","RelatedType":"ORIGINAL","CoverType":"S"}],"ProductOptions":[],"PointsEligibleFlag":"Y","ProductMedia":[{"LargeImage":"https://ebus.ams.org/ProductImages/gsm-208-e-cov-1.jpg","SmallImage":"https://ebus.ams.org/ProductImages/gsm-208-e-cov-sm.jpg","MediaFileType":"IMAGE","AltText":"Geometry and Topology of Manifolds","FullUrl":"","Sort":1,"YoutubeId":""},{"LargeImage":"https://ebus.ams.org/ProductImages/gsm-208-e-back-1.jpg","SmallImage":"https://ebus.ams.org/ProductImages/gsm-208-e-back-1.jpg","MediaFileType":"IMAGE","AltText":null,"FullUrl":"","Sort":2,"YoutubeId":""}],"InstructorsManualFlag":"N","InstructorsSolutionManualFlag":"N","ProductText":[{"TextTypeCode":"READERSHIP","Text":"\u003Cp\u003EUndergraduate and graduate students interested in\r\nteaching and learning the basics of algebraic and differential\r\ntopology.\u003C/p\u003E","TextHtml":"\u003Cp\u003EUndergraduate and graduate students interested in teaching and learning the basics of algebraic and differential topology.\u003C/p\u003E","SourceHtml":"","SeqNo":0},{"TextTypeCode":"REVIEW","Text":"\u003Cp\u003EThe book should be well-suited for several types of\r\ngraduate-level geometry courses: The material encompasses manifolds and\r\ncategories; the basics of homotopy, singular homology, and de Rham\r\ncohomology; Riemannian metrics, curvature and uniformization;\r\nholomorphic structures; and enough global analysis for Hodge theory,\r\nthe existence of metrics of constant Gaussian curvature, and basic\r\ncurvature flow. Each chapter provides useful supplementary reading,\r\nfrom textbooks to original papers, and contains numerous exercises of\r\nvarying levels of difficulty. There is an extensive index and a\r\ncomprehensive table of notation indexed by the page where notation\r\nfirst appears.\u003C/p\u003E\r\n\r\n\u003Cp\u003E...The authors provide proofs of results, such as triangulation of\r\nsurfaces, that in other textbooks are often outsourced, and they\r\nprovide detailed references for results they do not prove. They have\r\nalso made an effort to draw \u0027cultural links\u0027 between disparate parts\r\nof the material, the way a good instructor might.\u003C/p\u003E","TextHtml":"\u003Cp\u003EThe book should be well-suited for several types of graduate-level geometry courses: The material encompasses manifolds and categories; the basics of homotopy, singular homology, and de Rham cohomology; Riemannian metrics, curvature and uniformization; holomorphic structures; and enough global analysis for Hodge theory, the existence of metrics of constant Gaussian curvature, and basic curvature flow. Each chapter provides useful supplementary reading, from textbooks to original papers, and contains numerous exercises of varying levels of difficulty. There is an extensive index and a comprehensive table of notation indexed by the page where notation first appears.\u003C/p\u003E\u003Cp\u003E...The authors provide proofs of results, such as triangulation of surfaces, that in other textbooks are often outsourced, and they provide detailed references for results they do not prove. They have also made an effort to draw \u0027cultural links\u0027 between disparate parts of the material, the way a good instructor might.\u003C/p\u003E","SourceHtml":"Andrew D. Hwang, College of the Holy Cross","SeqNo":1},{"TextTypeCode":"TEXT_COVER4","Text":"\u003Cp\u003EThis book represents a novel approach to\r\ndifferential topology. Its main focus is to give a comprehensive\r\nintroduction to the classification of manifolds, with special\r\nattention paid to the case of surfaces, for which the book provides a\r\ncomplete classification from many points of view: topological, smooth,\r\nconstant curvature, complex, and conformal.\u003C/p\u003E\r\n\u003Cp\u003EEach chapter briefly revisits basic results usually known to\r\ngraduate students from an alternative perspective, focusing on\r\nsurfaces. We provide full proofs of some remarkable results that\r\nsometimes are missed in basic courses (e.g., the construction of\r\ntriangulations on surfaces, the classification of surfaces, the\r\nGauss-Bonnet theorem, the degree-genus formula for complex plane\r\ncurves, the existence of constant curvature metrics on conformal\r\nsurfaces), and we give hints to questions about higher dimensional\r\nmanifolds. Many examples and remarks are scattered through the\r\nbook. Each chapter ends with an exhaustive collection of problems and\r\na list of topics for further study.\u003C/p\u003E\r\n\u003Cp\u003EThe book is primarily addressed to graduate students who did take\r\nstandard introductory courses on algebraic topology, differential and\r\nRiemannian geometry, or algebraic geometry, but have not seen their\r\ndeep interconnections, which permeate a modern approach to geometry\r\nand topology of manifolds.\u003C/p\u003E","TextHtml":"\u003Cp\u003EThis book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal.\u003C/p\u003E\u003Cp\u003EEach chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study.\u003C/p\u003E\u003Cp\u003EThe book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.\u003C/p\u003E","SourceHtml":"","SeqNo":0},{"TextTypeCode":"TEXT_BLURB","Text":"\u003Cp\u003EThis book is primarily addressed to graduate\r\nstudents who did take standard introductory courses on algebraic\r\ntopology, differential and Riemannian geometry, or algebraic geometry,\r\nbut have not seen their deep interconnections which permeate a modern\r\napproach to geometry and topology of manifolds.\u003C/p\u003E","TextHtml":"\u003Cp\u003EThis book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections which permeate a modern approach to geometry and topology of manifolds.\u003C/p\u003E","SourceHtml":"","SeqNo":0},{"TextTypeCode":"TEXT_SUMMARY","Text":"\u003Cp\u003EThis book represents a novel approach to\r\ndifferential topology.\u003C/p\u003E","TextHtml":"\u003Cp\u003EThis book represents a novel approach to differential topology.\u003C/p\u003E","SourceHtml":"","SeqNo":0}],"AllowDeskExamCopyRequest":"Y","EstimatedPagesFlag":"N","AddToCartFlag":"Y","DisplayAuthorEditorFlag":"B"}; isbnArray.push({ ProductId: "846679895", RelatedType: "ORIGINAL", ISBN: "978-1-4704-6132-4", CoverType: "S" }); </script> <script src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <input type="hidden" id="hdnProductCode" name="PersonId" value="GSM/208" /> <div id="loadingPanel" class="productDetailLoadingPanel containedToParent"> <div> <div class="sp sp-3balls"></div> </div> </div> <div id="productDetailAddedToCart" class="productDetailAddedToCartContainer jmodal"> <div id="productDetailAddedToCartLoading" class="productDetailLoadingPanel hideContents"> <div> <div class="sp sp-3balls"></div> </div> </div> <div class="productDetailAddedToCartContainer"> <div class="modalHeaderContainer"> <div class="modalIcon"> </div> </div> <div class="productDetailAddedToCartMessage success"> Item Successfully Added to Cart </div> <div class="productDetailAddedToCartMessage error"> An error was encountered while trying to add the item to the cart. Please try again. </div> <div class="productDetailAddedToCartBtnContainer success"> <div> <a id="productDetailAddedToCartContinueBtn" href="#" rel="jmodal:close" class="productDetailAddedToCartContinueBtn">Continue Shopping</a> </div> <div> <a id="productDetailAddedToCartCheckoutBtn" href="https://ebus.ams.org/ebus/ShoppingCart.aspx" target="_self" class="productDetailAddedToCartCheckoutBtn">Go to Checkout</a> </div> </div> <div class="productDetailAddedToCartBtnContainer error"> <div> <a id="productDetailAddedToCartErrorOKBtn" href="#" rel="jmodal:close" class="productDetailAddedToCartErrorOKBtn">OK</a> </div> </div> </div> </div> <div id="productDetailSelectAllOptions" class="jmodal"> <div class="productDetailSelectAllOptionsContainer"> <div class="productDetailSelectAllOptionsMessage warning"> Please make all selections above before adding to cart </div> <div class="productDetailSelectAllOptionsMessageBtnContainer"> <div> <a id="productDetailSelectAllOptionsOkBtn" href="#" rel="jmodal:close" class="productDetailOkBtn">OK</a> </div> </div> </div> </div> <div class="productDetailContainer"> <div class="productDetailTopPane"> <div id="productDetailShareWrapper" class="jmodal productDetailShareModal"> <div class="productDetailShareContainer"> <div id="sharethis-button-container"></div> <div class="productDetailShareInfo"> Share this page via the icons above, or by copying the link below: </div> <div id="productDetailShareLinkInputContainer" class="productDetailShareLinkInputContainer"> <div id="productDetailShareLinkDisplay" class="productDetailShareLinkDisplay"></div> </div> <div class="productDetailShareCopyToClipboardBtnContainer"> <div class="productDetailShareCopyToClipboardBtn" onclick="copyShareToClipboard();" onkeypress="handleKeypressForClick(event)" tabindex="0"> Copy To Clipboard </div> <div class="productDetailShareCopyToClipboardSuccess"> <div class="productDetailShareCopyToClipboardSuccessMessage">Successfully Copied!</div> </div> </div> </div> </div> <div class="productDetailShareLinkContainer" onclick="javascript:showShareModal();" onkeypress="handleKeypressForClick(event)" tabindex="0"> <div class="productDetailShareLinkBtn"></div> </div> <!-- One Column --> <div class="productDetailOneColumn"> <div class="productDetailProductDescription"> <div class="productDetailTitle"> <span id="lblProductTitle">Geometry and Topology of Manifolds: Surfaces and Beyond</span> <div class="productDetailTitleShareSpacer"> </div> </div> <div class="productDetailAuthorContainer"> <div class="productDetailAuthorRow"> <span id="lblAuthorEditorFullname_0" class="productDetailProductDescriptionAuthorName"><a href="#" onclick="navigateToAuthorNameSearch('Vicente Mu&ntilde;oz')">Vicente Muñoz</a></span> <input id="lblAuthorEditorFullnameHtml_0" type="hidden" value="Vicente Mu&ntilde;oz"/> <span id="lblAuthorEditSpacer_0" class="productDetailAuthorEditSpacer">: </span> <span id="lblAuthorEditorAffiliation_0" class="productDetailProductDescriptionAuthorAffiliation">Universidad de Málaga, Málaga, Spain</span> </div> <div class="productDetailAuthorRow"> <span id="lblAuthorEditorFullname_1" class="productDetailProductDescriptionAuthorName"><a href="#" onclick="navigateToAuthorNameSearch('&Aacute;ngel Gonz&aacute;lez-Prieto')">Ángel González-Prieto</a></span> <input id="lblAuthorEditorFullnameHtml_1" type="hidden" value="&Aacute;ngel Gonz&aacute;lez-Prieto"/> <span id="lblAuthorEditSpacer_1" class="productDetailAuthorEditSpacer">: </span> <span id="lblAuthorEditorAffiliation_1" class="productDetailProductDescriptionAuthorAffiliation">Universidad Politécnica de Madrid, Madrid, Spain</span> </div> <div class="productDetailAuthorRow"> <span id="lblAuthorEditorFullname_2" class="productDetailProductDescriptionAuthorName"><a href="#" onclick="navigateToAuthorNameSearch('Juan &Aacute;ngel Rojo')">Juan Ángel Rojo</a></span> <input id="lblAuthorEditorFullnameHtml_2" type="hidden" value="Juan &Aacute;ngel Rojo"/> <span id="lblAuthorEditSpacer_2" class="productDetailAuthorEditSpacer">: </span> <span id="lblAuthorEditorAffiliation_2" class="productDetailProductDescriptionAuthorAffiliation">Universidad Politécnica de Madrid, Madrid, Spain</span> </div> </div> <div class="productDetailImageContainer"> <img id="productDetailImage" class="productDetailLargeImage" onerror="replaceImageError(this);" src="https://ebus.ams.org/ProductImages/gsm-208-e-cov-1.jpg" title="" style="" alt="Geometry and Topology of Manifolds"> </div> <div id="productDetailOneColumnAltImages"> </div> <div class="productDetailFlagIconContainer"> <img id="imgFlagTXT" class="productDetailFlagIcon" src="/images/textbook.png" /> </div> <div> <div class="productDetailTypeContainer "> <div class="productDetailType"> <div class="productDetailBookTypeChoose"> <button ID="btnBookType_0" class="productDetailBookTypeButton active " data-book-type="ORIGINAL" onclick="selectBookType('ORIGINAL');">Softcover</button> <button ID="btnBookType_1" class="productDetailBookTypeButton " data-book-type="ELECTRONIC" onclick="selectBookType('ELECTRONIC');">eBook</button> <button ID="btnBookType_2" class="productDetailBookTypeButton bundleItem" data-book-type="BUNDLE_S" onclick="selectBookType('BUNDLE_S');">Softcover + eBook<br><span class='productDetailBundleItemButtonSubtext'>Save 50% on eBook!</span></button> </div> </div> </div> <div class="productDetailCartItemContainer"> <div id="productDetailDIV_0" class="productDetailAddToCartContainer active " data-book-type="ORIGINAL" data-product-id="846679895"> <table width="100%"> <tbody> <tr class="productDetailAddToCartRow"> <td> <span id="lblISBNType_0" class="productDetailAddToCart">Softcover </span><span class="productDetailAddToCart">ISBN: </span> </td> <td> <span id="lblISBN_0" class="productDetailAddToCartValue">978-1-4704-6132-4</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span class="productDetailAddToCart">Product Code: </span> </td> <td> <span id="lblProductCode_0" class="productDetailAddToCartValue">GSM/208</span> </td> </tr> </tbody> </table> <div class="productDetailAddToCartRow productDetailAddToCartRateContainer"> <table width="100%"> <tbody> <tr id="productDetailAddToCartRateDIV_0" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">List Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$89.00</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_1" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">MAA Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$80.10</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_2" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">AMS Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$71.20</span> </td> </tr> </tbody> </table> </div> </div> <div id="productDetailDIV_1" class="productDetailAddToCartContainer " data-book-type="ELECTRONIC" data-product-id="897856161"> <table width="100%"> <tbody> <tr class="productDetailAddToCartRow"> <td> <span id="lblISBNType_1" class="productDetailAddToCart">eBook </span><span class="productDetailAddToCart">ISBN: </span> </td> <td> <span id="lblISBN_1" class="productDetailAddToCartValue">978-1-4704-6162-1</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span class="productDetailAddToCart">EPUB ISBN: </span> </td> <td> <span id="lblISBN_1" class="productDetailAddToCartValue">978-1-4704-6934-4</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span class="productDetailAddToCart">Product Code: </span> </td> <td> <span id="lblProductCode_1" class="productDetailAddToCartValue">GSM/208.E</span> </td> </tr> </tbody> </table> <div class="productDetailAddToCartRow productDetailAddToCartRateContainer"> <table width="100%"> <tbody> <tr id="productDetailAddToCartRateDIV_0" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">List Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$89.00</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_1" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">MAA Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$80.10</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_2" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">AMS Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$71.20</span> </td> </tr> </tbody> </table> </div> </div> <div id="productDetailDIV_2" class="productDetailAddToCartContainer " data-book-type="BUNDLE_S" data-product-id="1314335352"> <table width="100%"> <tbody> <tr class="productDetailAddToCartRow"> <td> <span id="lblISBNType_bundle_print_2" class="productDetailAddToCart">Softcover </span><span class="productDetailAddToCart">ISBN: </span> </td> <td> <span id="lblISBN_bundle_print_2" class="productDetailAddToCartValue">978-1-4704-6132-4</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span id="lblISBNType_bundle_electronic_2" class="productDetailAddToCart">eBook: </span><span class="productDetailAddToCart">ISBN: </span> </td> <td> <span id="lblISBN_bundle_electronic_2" class="productDetailAddToCartValue">978-1-4704-6162-1</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span class="productDetailAddToCart">Product Code: </span> </td> <td> <span id="lblProductCode_2" class="productDetailAddToCartValue">GSM/208.B</span> </td> </tr> </tbody> </table> <div class="productDetailAddToCartRow productDetailAddToCartRateContainer"> <table width="100%"> <tbody> <tr id="productDetailAddToCartRateDIV_0" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">List Price:</span> </td> <td> <span class="productDetailAddToCartRateValue strike">$178.00</span> <span class="productDetailAddToCartRateValue ">$133.50</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_1" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">MAA Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue strike">$160.20</span> <span class="productDetailAddToCartRateValue ">$120.15</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_2" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">AMS Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue strike">$142.40</span> <span class="productDetailAddToCartRateValue ">$106.80</span> </td> </tr> </tbody> </table> </div> </div> </div> <div class="productDetailPDFAndEPUBMessageContainer"> <div class="productDetailPDFAndEPUBMessage"> Please Note: Purchasing the eBook version includes access to both a PDF and EPUB version </div> </div> <div class="productDetailProductPrice"> <a href="#" class="productDetailCartBtn" onclick="addToCart('productDetailAddToCartContainer')">Add to cart</a> </div> </div> </div> </div> <!-- Left Column --> <div class="productDetailLeftColumn"> <div class="productDetailImageLoaderContainer"> <div id="productDetailImageLoading" class="productDetailLoadingPanel containedToParent hideContents hidden"> <div> <div class="sp sp-3balls"></div> </div> </div> <img id="productDetailImage" class="productDetailLargeImage" onerror="replaceImageError(this);" src="https://ebus.ams.org/ProductImages/gsm-208-e-cov-1.jpg" onload="handleImageLoad(this);" title="" style="" alt="Geometry and Topology of Manifolds"> </div> <div class="productDetailImageClickToZoomMessage">Click above image for expanded view</div> </div> <!-- Right Column --> <div class="productDetailRightColumn"> <!-- Product Description --> <div class="productDetailProductDescription"> <div class="productDetailTitle"> <span id="lblProductTitle">Geometry and Topology of Manifolds: Surfaces and Beyond</span> </div> <div class="productDetailAuthorContainer"> <div class="productDetailAuthorRow"> <span id="lblAuthorEditorFullname_0" class="productDetailProductDescriptionAuthorName"><a href="#" onclick="navigateToAuthorNameSearch('Vicente Mu&ntilde;oz')">Vicente Muñoz</a></span> <input id="lblAuthorEditorFullnameHtml_0" type="hidden" value="Vicente Mu&ntilde;oz"/> <span id="lblAuthorEditSpacer_0" class="productDetailAuthorEditSpacer">: </span> <span id="lblAuthorEditorAffiliation_0" class="productDetailProductDescriptionAuthorAffiliation">Universidad de Málaga, Málaga, Spain</span> </div> <div class="productDetailAuthorRow"> <span id="lblAuthorEditorFullname_1" class="productDetailProductDescriptionAuthorName"><a href="#" onclick="navigateToAuthorNameSearch('&Aacute;ngel Gonz&aacute;lez-Prieto')">Ángel González-Prieto</a></span> <input id="lblAuthorEditorFullnameHtml_1" type="hidden" value="&Aacute;ngel Gonz&aacute;lez-Prieto"/> <span id="lblAuthorEditSpacer_1" class="productDetailAuthorEditSpacer">: </span> <span id="lblAuthorEditorAffiliation_1" class="productDetailProductDescriptionAuthorAffiliation">Universidad Politécnica de Madrid, Madrid, Spain</span> </div> <div class="productDetailAuthorRow"> <span id="lblAuthorEditorFullname_2" class="productDetailProductDescriptionAuthorName"><a href="#" onclick="navigateToAuthorNameSearch('Juan &Aacute;ngel Rojo')">Juan Ángel Rojo</a></span> <input id="lblAuthorEditorFullnameHtml_2" type="hidden" value="Juan &Aacute;ngel Rojo"/> <span id="lblAuthorEditSpacer_2" class="productDetailAuthorEditSpacer">: </span> <span id="lblAuthorEditorAffiliation_2" class="productDetailProductDescriptionAuthorAffiliation">Universidad Politécnica de Madrid, Madrid, Spain</span> </div> </div> <div class="productDetailFlagIconContainer"> <img id="imgFlagTXT" class="productDetailFlagIcon" src="/images/textbook.png" /> </div> <div class="productDetailGroupedFormats"> <div class="productDetailTypeContainer "> <div class="productDetailType"> <div class="productDetailBookTypeChoose"> <button ID="btnBookType_0" class="productDetailBookTypeButton active " data-book-type="ORIGINAL" onclick="selectBookType('ORIGINAL');">Softcover</button> <button ID="btnBookType_1" class="productDetailBookTypeButton " data-book-type="ELECTRONIC" onclick="selectBookType('ELECTRONIC');">eBook</button> <button ID="btnBookType_2" class="productDetailBookTypeButton bundleItem" data-book-type="BUNDLE_S" onclick="selectBookType('BUNDLE_S');">Softcover + eBook<br><span class='productDetailBundleItemButtonSubtext'>Save 50% on eBook!</span></button> </div> </div> </div> <div class="productDetailCartItemContainer"> <div id="productDetailDIV_0" class="productDetailAddToCartContainer active " data-book-type="ORIGINAL" data-product-id="846679895"> <table> <tbody> <tr class="productDetailAddToCartRow"> <td> <span id="lblISBNType_0" class="productDetailAddToCart">Softcover </span><span class="productDetailAddToCart">ISBN: </span> </td> <td> <span id="lblISBN_0" class="productDetailAddToCartValue">978-1-4704-6132-4</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span class="productDetailAddToCart">Product Code: </span> </td> <td> <span id="lblProductCode_0" class="productDetailAddToCartValue">GSM/208</span> </td> </tr> </tbody> </table> <div class="productDetailAddToCartRow productDetailAddToCartRateContainer"> <table> <tbody> <tr id="productDetailAddToCartRateDIV_0" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">List Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$89.00</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_1" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">MAA Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$80.10</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_2" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">AMS Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$71.20</span> </td> </tr> </tbody> </table> </div> </div> <div id="productDetailDIV_1" class="productDetailAddToCartContainer " data-book-type="ELECTRONIC" data-product-id="897856161"> <table> <tbody> <tr class="productDetailAddToCartRow"> <td> <span id="lblISBNType_1" class="productDetailAddToCart">eBook </span><span class="productDetailAddToCart">ISBN: </span> </td> <td> <span id="lblISBN_1" class="productDetailAddToCartValue">978-1-4704-6162-1</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span class="productDetailAddToCart">EPUB ISBN: </span> </td> <td> <span id="lblISBN_1" class="productDetailAddToCartValue">978-1-4704-6934-4</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span class="productDetailAddToCart">Product Code: </span> </td> <td> <span id="lblProductCode_1" class="productDetailAddToCartValue">GSM/208.E</span> </td> </tr> </tbody> </table> <div class="productDetailAddToCartRow productDetailAddToCartRateContainer"> <table> <tbody> <tr id="productDetailAddToCartRateDIV_0" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">List Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$89.00</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_1" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">MAA Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$80.10</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_2" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">AMS Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue ">$71.20</span> </td> </tr> </tbody> </table> </div> </div> <div id="productDetailDIV_2" class="productDetailAddToCartContainer " data-book-type="BUNDLE_S" data-product-id="1314335352"> <table> <tbody> <tr class="productDetailAddToCartRow"> <td> <span id="lblISBNType_bundle_print_2" class="productDetailAddToCart">Softcover </span><span class="productDetailAddToCart">ISBN: </span> </td> <td> <span id="lblISBN_bundle_print_2" class="productDetailAddToCartValue">978-1-4704-6132-4</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span id="lblISBNType_bundle_electronic_2" class="productDetailAddToCart">eBook </span><span class="productDetailAddToCart">ISBN: </span> </td> <td> <span id="lblISBN_bundle_electronic_2" class="productDetailAddToCartValue">978-1-4704-6162-1</span> </td> </tr> <tr class="productDetailAddToCartRow"> <td> <span class="productDetailAddToCart">Product Code: </span> </td> <td> <span id="lblProductCode_2" class="productDetailAddToCartValue">GSM/208.B</span> </td> </tr> </tbody> </table> <div class="productDetailAddToCartRow productDetailAddToCartRateContainer"> <table> <tbody> <tr id="productDetailAddToCartRateDIV_0" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">List Price:</span> </td> <td> <span class="productDetailAddToCartRateValue strike">$178.00</span> <span class="productDetailAddToCartRateValue ">$133.50</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_1" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">MAA Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue strike">$160.20</span> <span class="productDetailAddToCartRateValue ">$120.15</span> </td> </tr> <tr id="productDetailAddToCartRateDIV_2" class="productDetailAddToCartRow "> <td> <span class="productDetailAddToCartRate">AMS Member Price:</span> </td> <td> <span class="productDetailAddToCartRateValue strike">$142.40</span> <span class="productDetailAddToCartRateValue ">$106.80</span> </td> </tr> </tbody> </table> </div> </div> </div> <div class="productDetailPDFAndEPUBMessageContainer"> <div class="productDetailPDFAndEPUBMessage"> Please Note: Purchasing the eBook version includes access to both a PDF and EPUB version </div> </div> <div class="productDetailProductPrice"> <a href="#" class="productDetailCartBtn" onclick="addToCart('productDetailAddToCartContainer')">Add to cart</a> </div> </div> </div> </div> </div> <div class="productDetailBottomPane"> <div class="productDetailOneColumn"> <ul class="productDetailAccordion productDetailNoList" role="tablist"> <li class="productDetailAccordionListItem"> <div class="productDetailAccordionHeader"> <div class="productDetailAccordionToggleContainer" onclick="toggleDetailMenuItem(this)" onkeypress="handleKeypressForClick(event)" tabindex="0"> <div class="productDetailAccordionLabel">Book Details</div> <div class="productDetailAccordionExpand active"> </div> <div class="productDetailAccordionCollapse"> </div> </div> <div class="productDetailAccordionContent"> <div class="tab-pane active" id="DESCRIPTION" role="tabpanel"> <div class="productDetailDescriptionRow"> <span id="lblSeries" class="productDetailSeries">Graduate Studies in Mathematics</span> </div> <div class="productDetailDescriptionRow"> <span id="lblSubseries" class="productDetailSubseries"></span> </div> <div class="productDetailDescriptionRow"> <span class="productDetailBookInfoLabel"> Volume: <span id='lblVolume' class='productDetailBookInfoLabel'>208</span>; <span id='lblCopyrightYear' class='productDetailBookInfoLabel'>2020</span><span id='lblPageCount' class='productDetailBookInfoLabel'>; 408 pp</span> </span> </div> <div class="productDetailDescriptionRow"> <span class="productDetailBookInfoLabel"> MSC: <span id="lblMSC" class="productDetailBookInfoLabel">Primary 57; 53; 55; 30</span> </span> </div> <span id="lblDescription" class="productDetailDescription"><p>This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal.</p><p>Each chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study.</p><p>The book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.</p></span> <div class="productDetailDescriptionCooperationRow"> <div class="productDetailDescriptionCooperation"> <span id="lblCooperation">This book is published in cooperation with Real Sociedád Matematica Española.</span> </div> </div> <div id="productDetailReadershipHeader" class="productDetailReadershipHeader">Readership</div> <span class="productDetailReadership"><p>Undergraduate and graduate students interested in teaching and learning the basics of algebraic and differential topology.</p></span> </div> </div> </div> </li> <li class="productDetailAccordionListItem"> <div class="productDetailAccordionHeader"> <div class="productDetailAccordionToggleContainer" onclick="toggleDetailMenuItem(this)" onkeypress="handleKeypressForClick(event)" tabindex="0"> <div class="productDetailAccordionLabel">Table of Contents</div> <div class="productDetailAccordionExpand active"> </div> <div class="productDetailAccordionCollapse"> </div> </div> <div class="productDetailAccordionContent"> <div class="tab-pane" id="TOC" role="tabpanel"> <ul id="productDetailTOCContainer" class="productDetailNoList"> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_0" class="productDetailTOC productDetailLevel0">Chapters</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_1" class="productDetailTOC productDetailLevel1">Topological surfaces</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_2" class="productDetailTOC productDetailLevel1">Algebraic topology</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_3" class="productDetailTOC productDetailLevel1">Riemannian geometry</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_4" class="productDetailTOC productDetailLevel1">Constant curvature</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_5" class="productDetailTOC productDetailLevel1">Complex geometry</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_6" class="productDetailTOC productDetailLevel1">Global analysis</span> </div> </li> </ul> </div> </div> </div> </li> <li class="productDetailAccordionListItem"> <div class="productDetailAccordionHeader"> <div class="productDetailAccordionToggleContainer" onclick="toggleDetailMenuItem(this)" onkeypress="handleKeypressForClick(event)" tabindex="0"> <div class="productDetailAccordionLabel">Additional Material</div> <div class="productDetailAccordionExpand active"> </div> <div class="productDetailAccordionCollapse"> </div> </div> <div class="productDetailAccordionContent"> <div class="tab-pane" id="FILE" role="tabpanel"> <ul id="productDetailFileContainer" class="productDetailNoList"> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_0" class="productDetailFile" href="https://www.ams.org/bookstore/pspdf/gsm-208-index.pdf" target="_blank">Index</a> </div> </li> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_1" class="productDetailFile" href="https://www.ams.org/bookstore/pspdf/gsm-208-pref.pdf" target="_blank">Preface</a> </div> </li> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_2" class="productDetailFile" href="https://www.ams.org/bookstore/pspdf/gsm-208-prev.pdf" target="_blank">Preview Materials</a> </div> </li> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_3" class="productDetailFile" href="https://www.ams.org/bookstore/pspdf/gsm-208-toc.pdf" target="_blank">Table of Contents</a> </div> </li> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_4" class="productDetailFile" href="https://www.ams.org/publications/authors/books/postpub/gsm-208" target="_blank">Supplemental Materials</a> </div> </li> </ul> </div> </div> </div> </li> <li class="productDetailAccordionListItem"> <div class="productDetailAccordionHeader"> <div class="productDetailAccordionToggleContainer" onclick="toggleDetailMenuItem(this)" onkeypress="handleKeypressForClick(event)" tabindex="0"> <div class="productDetailAccordionLabel">Reviews</div> <div class="productDetailAccordionExpand active"> </div> <div class="productDetailAccordionCollapse"> </div> </div> <div class="productDetailAccordionContent"> <div class="tab-pane" id="REVIEWS" role="tabpanel"> <ul id="productDetailReviewContainer" class="productDetailNoList"> <li> <div class="productDetailReviewRow"> <span id="lblReviewText_0" class="productDetailReviewText"><p>The book should be well-suited for several types of graduate-level geometry courses: The material encompasses manifolds and categories; the basics of homotopy, singular homology, and de Rham cohomology; Riemannian metrics, curvature and uniformization; holomorphic structures; and enough global analysis for Hodge theory, the existence of metrics of constant Gaussian curvature, and basic curvature flow. Each chapter provides useful supplementary reading, from textbooks to original papers, and contains numerous exercises of varying levels of difficulty. There is an extensive index and a comprehensive table of notation indexed by the page where notation first appears.</p><p>...The authors provide proofs of results, such as triangulation of surfaces, that in other textbooks are often outsourced, and they provide detailed references for results they do not prove. They have also made an effort to draw 'cultural links' between disparate parts of the material, the way a good instructor might.</p></span> </div> <div class="productDetailReviewSourceRow"> <span id="lblReviewSource_0" class="productDetailReviewSource">Andrew D. Hwang, College of the Holy Cross</span> </div> </li> </ul> </div> </div> </div> </li> <li class="productDetailAccordionListItem"> <div class="productDetailAccordionHeader"> <div class="productDetailAccordionToggleContainer" onclick="toggleDetailMenuItem(this)" onkeypress="handleKeypressForClick(event)" tabindex="0"> <div class="productDetailAccordionLabel">Requests</div> <div class="productDetailAccordionExpand active"> </div> <div class="productDetailAccordionCollapse"> </div> </div> <div class="productDetailAccordionContent"> <div class="tab-pane" id="REQUEST" role="tabpanel"> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="requestCopy('REVIEW');" onkeypress="handleKeypressForClick(event)">Review Copy</a></span><span class="productDetailRequestDescription"> – for publishers of book reviews</span></div> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="requestCopy('DESK');" onkeypress="handleKeypressForClick(event)">Desk Copy</a></span><span class="productDetailRequestDescription"> – for instructors who have adopted an AMS textbook for a course</span></div> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="requestCopy('EXAM');" onkeypress="handleKeypressForClick(event)">Examination Copy</a></span><span class="productDetailRequestDescription"> – for faculty considering an AMS textbook for a course</span></div> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="getPermissions();" onkeypress="handleKeypressForClick(event)">Permission</a></span><span class="productDetailRequestDescription"> – for use of book, eBook, or Journal content</span></div> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="requestCopy('ACCESS');" onkeypress="handleKeypressForClick(event)">Accessibility</a></span><span class="productDetailRequestDescription"> – to request an alternate format of an AMS title</span></div> </div> </div> </div> </li> </ul> </div> <div class="productDetailTwoColumn"> <ul class="productDetailNav productDetailNavTabs productDetailNoList" role="tablist"> <li data-tab-id="DESCRIPTION" class="productDetailAdditionalInfo active" role="presentation" onclick="selectTab('DESCRIPTION');" onkeypress="handleKeypressForClick(event)" tabindex="0">Book Details</li> <li data-tab-id="TOC" role="presentation" class="productDetailAdditionalInfo" onclick="selectTab('TOC');" onkeypress="handleKeypressForClick(event)" tabindex="0">Table of Contents</li> <li data-tab-id="FILE" role="presentation" class="productDetailAdditionalInfo wideTab" onclick="selectTab('FILE');" onkeypress="handleKeypressForClick(event)" tabindex="0">Additional Material</li> <li data-tab-id="REVIEWS" role="presentation" class="productDetailAdditionalInfo" onclick="selectTab('REVIEWS');" onkeypress="handleKeypressForClick(event)" tabindex="0">Reviews</li> <li data-tab-id="REQUEST" role="presentation" class="productDetailAdditionalInfo" onclick="selectTab('REQUEST');" onkeypress="handleKeypressForClick(event)" tabindex="0">Requests</li> </ul> <div class="tab-content productDetailTabContent"> <div class="tab-pane active" id="DESCRIPTION" role="tabpanel"> <div class="productDetailDescriptionRow"> <span id="lblSeries" class="productDetailSeries"><a class='productDetailSeriesLink' href='/GSM'>Graduate Studies in Mathematics</a></span> </div> <div class="productDetailDescriptionRow"> <span id="lblSubseries" class="productDetailSubseries"></span> </div> <div class="productDetailDescriptionRow"> <span class="productDetailBookInfoLabel"> Volume: <span id='lblVolume' class='productDetailBookInfoLabel'>208</span>; <span id='lblCopyrightYear' class='productDetailBookInfoLabel'>2020</span><span id='lblPageCount' class='productDetailBookInfoLabel'>; 408 pp</span> </span> </div> <div class="productDetailDescriptionRow"> <span class="productDetailBookInfoLabel"> MSC: <span id="lblMSC" class="productDetailBookInfoLabel">Primary 57; 53; 55; 30</span> </span> </div> <span id="lblDescription" class="productDetailDescription"><p>This book represents a novel approach to differential topology. Its main focus is to give a comprehensive introduction to the classification of manifolds, with special attention paid to the case of surfaces, for which the book provides a complete classification from many points of view: topological, smooth, constant curvature, complex, and conformal.</p><p>Each chapter briefly revisits basic results usually known to graduate students from an alternative perspective, focusing on surfaces. We provide full proofs of some remarkable results that sometimes are missed in basic courses (e.g., the construction of triangulations on surfaces, the classification of surfaces, the Gauss-Bonnet theorem, the degree-genus formula for complex plane curves, the existence of constant curvature metrics on conformal surfaces), and we give hints to questions about higher dimensional manifolds. Many examples and remarks are scattered through the book. Each chapter ends with an exhaustive collection of problems and a list of topics for further study.</p><p>The book is primarily addressed to graduate students who did take standard introductory courses on algebraic topology, differential and Riemannian geometry, or algebraic geometry, but have not seen their deep interconnections, which permeate a modern approach to geometry and topology of manifolds.</p></span> <div class="productDetailDescriptionCooperationRow"> <div class="productDetailDescriptionCooperation"> <span id="lblCooperation">This book is published in cooperation with Real Sociedád Matematica Española.</span> </div> </div> <div id="productDetailReadershipHeader" class="productDetailReadershipHeader">Readership</div> <span class="productDetailReadership"><p>Undergraduate and graduate students interested in teaching and learning the basics of algebraic and differential topology.</p></span> </div> <div class="tab-pane" id="TOC" role="tabpanel"> <ul id="productDetailTOCContainer" class="productDetailNoList"> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_0" class="productDetailTOC productDetailLevel0">Chapters</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_1" class="productDetailTOC productDetailLevel1">Topological surfaces</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_2" class="productDetailTOC productDetailLevel1">Algebraic topology</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_3" class="productDetailTOC productDetailLevel1">Riemannian geometry</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_4" class="productDetailTOC productDetailLevel1">Constant curvature</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_5" class="productDetailTOC productDetailLevel1">Complex geometry</span> </div> </li> <li> <div class="productDetailTOCRow"> <span id="lblTOCTitle_6" class="productDetailTOC productDetailLevel1">Global analysis</span> </div> </li> </ul> </div> <div class="tab-pane" id="FILE" role="tabpanel"> <ul id="productDetailFileContainer" class="productDetailNoList"> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_0" class="productDetailFile" href="https://www.ams.org/bookstore/pspdf/gsm-208-index.pdf" target="_blank">Index</a> </div> </li> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_1" class="productDetailFile" href="https://www.ams.org/bookstore/pspdf/gsm-208-pref.pdf" target="_blank">Preface</a> </div> </li> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_2" class="productDetailFile" href="https://www.ams.org/bookstore/pspdf/gsm-208-prev.pdf" target="_blank">Preview Materials</a> </div> </li> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_3" class="productDetailFile" href="https://www.ams.org/bookstore/pspdf/gsm-208-toc.pdf" target="_blank">Table of Contents</a> </div> </li> <li> <div class="productDetailFileRow"> <a id="lblFileDisplay_4" class="productDetailFile" href="https://www.ams.org/publications/authors/books/postpub/gsm-208" target="_blank">Supplemental Materials</a> </div> </li> </ul> </div> <div class="tab-pane" id="REVIEWS" role="tabpanel"> <ul id="productDetailReviewContainer" class="productDetailNoList"> <li> <div class="productDetailReviewRow"> <span id="lblReviewText_0" class="productDetailReviewText"><p>The book should be well-suited for several types of graduate-level geometry courses: The material encompasses manifolds and categories; the basics of homotopy, singular homology, and de Rham cohomology; Riemannian metrics, curvature and uniformization; holomorphic structures; and enough global analysis for Hodge theory, the existence of metrics of constant Gaussian curvature, and basic curvature flow. Each chapter provides useful supplementary reading, from textbooks to original papers, and contains numerous exercises of varying levels of difficulty. There is an extensive index and a comprehensive table of notation indexed by the page where notation first appears.</p><p>...The authors provide proofs of results, such as triangulation of surfaces, that in other textbooks are often outsourced, and they provide detailed references for results they do not prove. They have also made an effort to draw 'cultural links' between disparate parts of the material, the way a good instructor might.</p></span> </div> <div class="productDetailReviewSourceRow"> <span id="lblReviewSource_0" class="productDetailReviewSource">Andrew D. Hwang, College of the Holy Cross</span> </div> </li> </ul> </div> <div class="tab-pane" id="REQUEST" role="tabpanel"> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="requestCopy('REVIEW');" onkeypress="handleKeypressForClick(event)">Review Copy</a></span><span class="productDetailRequestDescription"> – for publishers of book reviews</span></div> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="requestCopy('DESK');" onkeypress="handleKeypressForClick(event)">Desk Copy</a></span><span class="productDetailRequestDescription"> – for instructors who have adopted an AMS textbook for a course</span></div> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="requestCopy('EXAM');" onkeypress="handleKeypressForClick(event)">Examination Copy</a></span><span class="productDetailRequestDescription"> – for faculty considering an AMS textbook for a course</span></div> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="getPermissions();" onkeypress="handleKeypressForClick(event)">Permission</a></span><span class="productDetailRequestDescription"> – for use of book, eBook, or Journal content</span></div> <div class="productDetailRequestRow"><span class="productDetailRequestHeader"><a href="#" onclick="requestCopy('ACCESS');" onkeypress="handleKeypressForClick(event)">Accessibility</a></span><span class="productDetailRequestDescription"> – to request an alternate format of an AMS title</span></div> </div> </div> </div> </div> <span class="productDetailCrossSellHeader">You may be interested in...</span> <div id="productDetailCrossSellPane" class="slickContainer productDetailCrossSellPane"> <div class="productDetailCrossSellListItem"> <a href="/view?ProductCode=GSM/107"> <img id="productDetailImage_0" class="productDetailSmallImage" onerror="replaceImageError(this);" src="https://ebus.ams.org/ProductImages/gsm-107-e-cov-sm.jpg" title="Manifolds and Differential Geometry" style=""> </a> </div> </div> <div class="productDetailFooterPane"> <a target="_blank"href="https://www.mathjax.org"> <img title="Powered by MathJax" src="https://www.mathjax.org/badge/badge.gif" border="0" alt="Powered by MathJax" /> </a> </div> </div> <div id="productDetailImageZoomWrapper" class="jmodal productDetailImageZoomModal"> <div class="productDetailImageZoomContainer"> <img id="productDetailImageZoom"/> </div> </div> <div id="productDetailGetPermissionsChooserWrapper" class="jmodal productDetailGetPermissionsChooserModal"> <div class="productDetailGetPermissionsInfo"> Please select which format for which you are requesting permissions. </div> <div class="productDetailGetPermissionsChooserContainer"> </div> </div> <input name="__RequestVerificationToken" type="hidden" value="CfDJ8IxuUvaeZRREi9I41erTZ0tUQLSxhLMMhKc_7-C_MZhJgMAMimieAokb73fgur76iY-fGlW60MDBYmcJtBxkoZntIVVf4YdQTF8choTjLUFf3V4XZZcThVLw4_7_n78fC3YpfGJ4Up5JcydtS5Pnrrs" /> <script type="text/javascript"> $(document).ready(function () { initViewPage(); callGtag("view_item", "div.productDetailAddToCartContainer.active", productDetailObj); }); </script> </main> </div> <footer b-nlceesq935 class="footer text-muted"> <div b-nlceesq935> <a b-nlceesq935 href="https://www.ams.org"><img b-nlceesq935 src="/images/footer-line.png" alt="American Mathematical Society" class="img-responsive" title="" style=""></a> </div> <div b-nlceesq935 class="shareContainer"> <ul b-nlceesq935 class="list-inline shareList"> <li b-nlceesq935><a b-nlceesq935 href="https://www.facebook.com/amermathsoc" title="Follow us on Facebook"><i b-nlceesq935 class="fa-brands fa-facebook-f fa-lg"></i></a></li> <li b-nlceesq935><a b-nlceesq935 href="https://twitter.com/amermathsoc" title="Follow us on X"><i b-nlceesq935 class="fa-brands fa-x-twitter fa-lg"></i></a></li> <li b-nlceesq935><a b-nlceesq935 href="https://www.linkedin.com/company/51001" title="Follow us on LinkedIn"><i b-nlceesq935 class="fa-brands fa-linkedin-in fa-lg"></i></a></li> <li b-nlceesq935><a b-nlceesq935 href="https://www.instagram.com/amermathsoc" title="Follow us on Instagram"><i b-nlceesq935 class="fa-brands fa-instagram fa-lg"></i></a></li> <li b-nlceesq935><a b-nlceesq935 href="https://www.youtube.com/amermathsoc" title="Follow us on YouTube"><i b-nlceesq935 class="fa-brands fa-youtube fa-lg"></i></a></li> </ul> </div> <div b-nlceesq935 class="container"> <p b-nlceesq935><a b-nlceesq935 href="https://www.ams.org/bookstore-email-list" target="_blank" class="btn btn-primary footerBtn">Join Our Email List <span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink" ></span></a></p> <p b-nlceesq935><a b-nlceesq935 href="https://www.ams.org" target="_blank">American Mathematical Society <span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> · <a b-nlceesq935 href="https://goo.gl/maps/ZvJdkQEC79p" title="Google map 201 Charles Street Providence, Rhode Island" target="_blank">201 Charles Street Providence, Rhode Island 02904-2213 <span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> · <a b-nlceesq935 href="https://www.ams.org/reach" target="_blank">Contact Us <span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> </p> <p b-nlceesq935><small b-nlceesq935>AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S. Patent and Trademark Office.</small></p> <p b-nlceesq935> © <a b-nlceesq935 href="https://www.ams.org/about-us/copyright" target="_blank">Copyright <span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> <script> var now = new Date(); document.write(now.getFullYear()); </script>, American Mathematical Society · <a b-nlceesq935 href="https://www.ams.org/about-us/privacy" target="_blank">Privacy Statement <span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> · <a b-nlceesq935 href="https://www.ams.org/tou">Terms of Use</a> · <a b-nlceesq935 href="https://www.ams.org/accessibility">Accessibility and AMS Online Content</a> · <a b-nlceesq935 href="https://www.ams.org/publications/pubpermissions">Rights and Permissions</a></p> <p b-nlceesq935><a b-nlceesq935 target="_blank" href="/shipping-info">Shipping Information <span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a> · <a b-nlceesq935 target="_blank" href="/international-dist">International Orders <span b-nlceesq935 class="sr-only">(opens in a new tab)</span><span b-nlceesq935 class="extLink"></span></a></p> </div> </footer> <script src="/js/jquery.modal.min.js"></script> </body> </html>