{"title":"Homepage Features","description":"\u003cp\u003eExplore a curated selection of our most essential and celebrated academic works. Each title in this collection represents the high standard of quality and scholarship that defines Publish or Perish, Inc.®.\u003c\/p\u003e","products":[{"product_id":"calculus-4th-edition","title":"Càlcul, 4a edició ","description":"\u003cdiv id=\"titleblock_feature_div\" class=\"celwidget\" data-feature-name=\"titleblock\" data-csa-c-type=\"widget\" data-csa-c-content-id=\"titleblock\" data-csa-c-slot-id=\"titleblock_feature_div\" data-csa-c-asin=\"0914098918\" data-csa-c-is-in-initial-active-row=\"false\" data-csa-c-id=\"mtk7k-ut2a50-2b8pn0-4l3y8g\" data-cel-widget=\"titleblock_feature_div\"\u003e\n\n\u003cdiv class=\"a-section a-spacing-none\"\u003e\n\n\u003ch1 class=\"a-spacing-none a-text-normal\"\u003e\n\n \u003cspan id=\"productTitle\" class=\"a-size-extra-large celwidget\" data-csa-c-id=\"ow985a-2gzop0-jziwaw-i4txq4\" data-cel-widget=\"productTitle\"\u003eCàlcul, 4a edició\u003cspan\u003e \u003c\/span\u003e\u003c\/span\u003e\u003cspan id=\"productSubtitle\" class=\"a-size-large a-color-secondary celwidget\" data-csa-c-id=\"eas39m-d603b1-m1ixy2-kpcqxg\" data-cel-widget=\"productSubtitle\"\u003equarta edició\u003c\/span\u003e\n\n\u003c\/h1\u003e\n\n\n\u003c\/div\u003e \n\u003cspan class=\"edp-feature-declaration\" data-edp-feature-name=\"title\" data-edp-asin=\"0914098918\" data-data-hash=\"3538444963\" data-defects='[{\"id\":\"defect-mismatch-info\",\"value\":\"Different from product\"},{\"id\":\"defect-missing-information\",\"value\":\"Missing information\"},{\"id\":\"defect-unessential-info\",\"value\":\"Unimportant information\"},{\"id\":\"defect-incorrect-information\",\"value\":\"Incorrect information\"},{\"id\":\"defect-other-productinfo-issue\",\"value\":\"Other\"}]' data-metadata=\"CATALOG\" data-feature-container-id=\"title\" data-custom-event-handler=\"productTitleEDPCustomEventHandler\" data-display-name=\"Product Name\" data-edit-data-state=\"productTitleEDPEditData\" data-position=\"1\" data-resolver=\"CQResolver\"\u003e\u003c\/span\u003e\n\n\u003c\/div\u003e\n\n\u003cdiv id=\"bylineInfo_feature_div\" class=\"celwidget\" data-feature-name=\"bylineInfo\" data-csa-c-type=\"widget\" data-csa-c-content-id=\"bylineInfo\" data-csa-c-slot-id=\"bylineInfo_feature_div\" data-csa-c-asin=\"0914098918\" data-csa-c-is-in-initial-active-row=\"false\" data-csa-c-id=\"1epwcg-9jho2s-elb36h-ocjn25\" data-cel-widget=\"bylineInfo_feature_div\"\u003e\n\n \u003cdiv id=\"bylineInfo\" class=\"a-section a-spacing-micro bylineHidden feature\" data-cel-widget=\"bylineInfo\"\u003e per\u003cspan\u003e \u003c\/span\u003e\u003cspan class=\"author notFaded\" data-width=\"\"\u003e\u003ca class=\"a-link-normal\" href=\"https:\/\/www.amazon.com\/Michael-Spivak\/e\/B000APBL44\/ref=dp_byline_cont_book_1\"\u003eMichael Spivak\u003c\/a\u003e\u003cspan\u003e  \u003c\/span\u003e\u003cspan class=\"contribution\"\u003e\u003cspan class=\"a-color-secondary\"\u003eAutor, editor,\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e \u003cspan class=\"author notFaded\" data-width=\"\"\u003e\u003cspan class=\"contribution\"\u003e\u003cspan class=\"a-color-secondary\"\u003eil·lustrador\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e \n\n\u003c\/div\u003e\n\n\u003cdiv class=\"a-section a-spacing-micro bylineHidden feature\" data-cel-widget=\"bylineInfo\"\u003e\n\n \u003cspan class=\"author notFaded\" data-width=\"\"\u003e\u003cspan class=\"contribution\"\u003e\u003cspan class=\"a-color-secondary\"\u003e\u003c\/span\u003e\u003c\/span\u003e\u003c\/span\u003e \u003cbr\u003e\n\n\u003c\/div\u003e\n\n\u003cdiv class=\"a-section a-spacing-micro bylineHidden feature\" data-cel-widget=\"bylineInfo\"\u003e \n\u003cspan class=\"author notFaded\" data-width=\"\"\u003e\u003cspan\u003eEl famós llibre de text de Spivak, \"Càlcul, 4a edició\", és àmpliament considerat com una de les millors introduccions a l'anàlisi matemàtica. El seu objectiu és presentar el càlcul com la primera trobada real amb les matemàtiques: és el lloc per aprendre com el raonament lògic combinat amb conceptes fonamentals es pot convertir en una teoria matemàtica rigorosa en lloc d'un munt d'eines i tècniques apreses de memòria. Atès que l'anàlisi és una assignatura que tradicionalment els estudiants troben difícil d'entendre, Spivak ofereix explicacions pausades, una profusió d'exemples, una àmplia gamma d'exercicis i moltes il·lustracions en un enfocament senzill que il·lumina conceptes difícils i recompensa l'esforç. El llibre conté aproximadament 625 problemes que van des d'exercicis senzills fins a problemes difícils. S'estructura en vint-i-nou capítols, amb apèndixs addicionals i material opcional. El càlcul continuarà sent considerat com un clàssic modern, ideal per a estudiants d'honor i especialistes en matemàtiques, que busquen una alternativa als llibres de text de càlcul i les introduccions més formidables a l'anàlisi real. Un dels textos més celebrats d'aquest tipus combina el rigor dels llibres més formidables amb les explicacions pausades, la profusió d'exemples, exercicis i il·lustracions associades als \"tapis de portes\". Ideal per a estudiants; explicacions clares i nítides de què són realment l'anàlisi i les matemàtiques. Gamma completa d'exercicis, des dels senzills fins als desafiants, que aprofundeixen en la comprensió\u003c\/span\u003e\u003c\/span\u003e \u003cbr\u003e\n\n\u003c\/div\u003e\n\n\u003cdiv class=\"a-section a-spacing-micro bylineHidden feature\" data-cel-widget=\"bylineInfo\"\u003e \n\u003cspan class=\"author notFaded\" data-width=\"\"\u003e\u003cspan\u003e\u003c\/span\u003e\u003c\/span\u003e\u003cbr\u003e\n\n\u003c\/div\u003e\n\n\u003cdiv class=\"a-section a-spacing-micro bylineHidden feature\" data-cel-widget=\"bylineInfo\"\u003e\n\n\u003cspan class=\"author notFaded\" data-width=\"\"\u003e\u003cspan\u003e\u003c\/span\u003e\u003c\/span\u003e \u003cbr\u003e\n\n\u003c\/div\u003e\n\n\u003cdiv class=\"a-section a-spacing-micro bylineHidden feature\" data-cel-widget=\"bylineInfo\"\u003e\n\n\u003ch2\u003e Ressenyes editorials \u003c\/h2\u003e\n\n\u003cdiv class=\"a-section a-spacing-small a-padding-base\"\u003e\n\n\u003cdiv class=\"a-row a-expander-container a-expander-extend-container\"\u003e\n\n\u003ch3\u003e \u003cspan\u003eRevisió\u003c\/span\u003e\n\u003c\/h3\u003e\n\n \u003cdiv class=\"a-section a-spacing-small a-padding-small\"\u003e\u003cspan\u003erevisió de \"Càlcul, 4a edició\" de Michael Spivak basat en les opinions dels lectors: estil d'escriptura i aventura intel·lectual: la prosa d'aquest llibre és excepcional. A diferència de la majoria dels llibres de text de càlcul, que poden ser secs i mecànics, l'escriptura de Spivak transforma el càlcul en un tema bonic i estimulant intel·lectualment. La presentació de Spivak és alhora intuïtiva i rigorosa. Sovint proporciona definicions provisionals per ajudar a la comprensió, després explica meticulosament el raonament matemàtic precís que hi ha darrere. La disposició del llibre, amb figures rellevants integrades perfectament al text, recorda l'estil utilitzat a les conferències Feynman i als llibres d'Edward Tufte. Exercicis desafiants: els exercicis de \"Càlcul, 4a edició\" són força difícils, però ofereixen una oportunitat per a un aprenentatge profund. Per als nous amb proves rigoroses, pot ser útil complementar amb altres recursos abans de capbussar-se en el llibre de Spivak. Rigor i claredat matemàtics: l'enfocament de Spivak posa l'accent en el rigor matemàtic. No defugi els conceptes complexos. Les seves explicacions són clares i precises, fent accessible fins i tot material difícil. Fonaments teòrics: Spivak va més enllà dels simples càlculs. La seva explicació del càlcul inclou els fonaments teòrics i els teoremes durs. Explora la integritat dels nombres reals, proporcionant una comprensió més profunda. Impressió general: si esteu disposat a esforçar-vos, \"Càlcul, 4a edició\" és una obra mestra. No és només un llibre de text; és una aventura intel·lectual a l'espera de desenvolupar-se.\u003c\/span\u003e\u003c\/div\u003e\n\n\u003ch3\u003e \n\u003cspan\u003e\u003c\/span\u003e\u003cbr\u003e\n\n\u003c\/h3\u003e\n\n\u003ch3\u003e\u003cspan\u003eSobre l'autor\u003c\/span\u003e\u003c\/h3\u003e\n\n \u003cdiv class=\"a-section a-spacing-small a-padding-small\"\u003e\n\u003cspan\u003eMichael David Spivak, nascut el 25 de maig de 1940, és un matemàtic nord-americà amb un profund impacte en el camp de la geometria diferencial. Com a expositor de les matemàtiques, ha superat hàbilment la bretxa entre la teoria complexa i les explicacions accessibles. El llegat de Spivak s'estén més enllà del món acadèmic; també és el visionari darrere de Publish-or-Perish Press. 📚 Autor de l'obra mestra de cinc volums: l'obra magna de Spivak, \"Una introducció completa a la geometria diferencial\", és un testimoni de la seva destresa matemàtica. Aquest treball de cinc volums és un tresor per a aquells que busquen una comprensió profunda dels conceptes geomètrics. 🔍 Per què triar Spivak? 🌟 Claredat i precisió: l'estil d'escriptura de Spivak desmitifica temes complexos, fent-los accessibles per als estudiants de tots els nivells. 🌟 Enfocament en la resolució de problemes: submergiu-vos en problemes desafiants guiats per un mestre matemàtic. 🌟 Rigor matemàtic: submergeix-te en demostracions, teoremes i aplicacions: el segell distintiu de l'enfocament de Spivak. 📖 Sobre el matemàtic: Procedent de Queens, Nova York, Spivak va obtenir el seu doctorat. de la Universitat de Princeton. Les seves contribucions han deixat una empremta indeleble en les matemàtiques i la seva passió per la claredat continua inspirant generacions d'aprenents. 🛒 Explora el treball de Spivak: tant si ets estudiant, educador o aprenent de tota la vida, aprofundeix en les complexitats del càlcul, la geometria i el raonament matemàtic amb Michael Spivak. 📚🔢\u003c\/span\u003e \u003c\/div\u003e\n\n\u003cdiv data-expanded=\"true\" class=\"a-expander-content a-expander-extend-content a-expander-content-expanded\"\u003e\n\n\u003ch3\u003e \n\u003cspan\u003e\u003c\/span\u003e\u003cbr\u003e\n\n\u003c\/h3\u003e\n\n\u003ch3\u003e\u003cspan\u003eFragment. © Reimprès amb permís. Tots els drets reservats.\u003c\/span\u003e\u003c\/h3\u003e\n\n\u003cdiv class=\"a-section a-spacing-small a-padding-small\"\u003e \u003cspan\u003eEl prefaci de la primera edició posa l'accent en presentar el càlcul com la primera trobada real amb les matemàtiques, amb l'objectiu de reforçar la comprensió amb lògica i precisió. El llibre s'estructura en vint-i-nou capítols, amb dos capítols destacats opcionals i tres capítols a la Part V per als estudiants interessats en la construcció de nombres reals. El prefaci de la segona edició assenyala canvis com ara apèndixs addicionals sobre temes com les coordenades polars i la continuïtat uniforme, i la inclusió d'uns 160 problemes nous. La tercera edició inclou un nou capítol sobre el moviment planetari i reordena algun material. La quarta edició, que apareix 14 anys després de la tercera, introdueix problemes addicionals, actualitza la llista de lectures suggerides i corregeix nombrosos errors.\u003c\/span\u003e \u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\u003cdiv class=\"a-section a-spacing-small a-padding-small\"\u003e\u003cbr\u003e\u003c\/div\u003e\n\n\u003cdiv class=\"a-row\"\u003e\u003cbr\u003e\u003c\/div\u003e\n\n\u003ch2\u003e Detalls del producte \u003c\/h2\u003e\n\n\u003cdiv id=\"detailBullets_feature_div\"\u003e\n\n\u003cul class=\"a-unordered-list a-nostyle a-vertical a-spacing-none detail-bullet-list\"\u003e\n\n \u003cli\u003e\u003cspan class=\"a-list-item\"\u003e\u003cspan class=\"a-text-bold\"\u003eEditor: ‎\u003cspan\u003e \u003c\/span\u003e\u003c\/span\u003e\u003cspan\u003ePublicar o morir; quarta edició (9 de juliol de 2008)\u003c\/span\u003e\u003c\/span\u003e\u003c\/li\u003e\n\n\u003cli\u003e \u003cspan class=\"a-list-item\"\u003e\u003cspan class=\"a-text-bold\"\u003eIdioma:\u003cspan\u003e \u003c\/span\u003e\u003c\/span\u003e\u003cspan\u003eAnglès\u003c\/span\u003e\u003c\/span\u003e\n\u003c\/li\u003e\n\n\u003cli\u003e \u003cspan class=\"a-list-item\"\u003e\u003cspan class=\"a-text-bold\"\u003eTapa dura: ‎\u003cspan\u003e \u003c\/span\u003e\u003c\/span\u003e\u003cspan\u003e680 pàgines\u003c\/span\u003e\u003c\/span\u003e\n\u003c\/li\u003e\n\n\u003cli\u003e \u003cspan class=\"a-list-item\"\u003e\u003cspan class=\"a-text-bold\"\u003eISBN-10 : ‎\u003cspan\u003e \u003c\/span\u003e\u003c\/span\u003e\u003cspan\u003e0914098918\u003c\/span\u003e\u003c\/span\u003e\n\u003c\/li\u003e\n\n\u003cli\u003e \u003cspan class=\"a-list-item\"\u003e\u003cspan class=\"a-text-bold\"\u003eISBN-13 : ‎\u003cspan\u003e \u003c\/span\u003e\u003c\/span\u003e\u003cspan\u003e978-0914098911\u003c\/span\u003e\u003c\/span\u003e\n\u003c\/li\u003e\n\n\u003cli\u003e \u003cspan class=\"a-list-item\"\u003e\u003cspan class=\"a-text-bold\"\u003ePes de l'article: \u003cspan\u003e3,8\u003c\/span\u003e\u003c\/span\u003e \u003cspan\u003elliures\u003c\/span\u003e\u003c\/span\u003e\n\u003c\/li\u003e\n\n\u003cli\u003e \u003cspan class=\"a-list-item\"\u003e\u003cspan class=\"a-text-bold\"\u003eDimensions:\u003cspan\u003e \u003c\/span\u003e\u003c\/span\u003e\u003cspan\u003e9,2 x 1,5 x 10,3 polzades\u003c\/span\u003e\u003c\/span\u003e \u003c\/li\u003e\n\n\n\u003c\/ul\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e\n\n\n\u003c\/div\u003e","brand":"Publish or Perish, Inc. ®","offers":[{"title":"Default Title","offer_id":49983452479790,"sku":"POP-CALC-V4","price":159.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0829\/3705\/3486\/files\/Calculus-4th-Edition-Spivak-Cover.jpg_or_Calculus-4th-Edition-Cover.png?v=1763683758"},{"product_id":"a-comprehensive-introduction-to-differential-geometry-vol-1-3rd-edition","title":"A Comprehensive Introduction to Differential Geometry, Vol. 1, 3rd Edition by Michael Spivak | Publish or Perish","description":"\u003c!-- ============================================================\n     A COMPREHENSIVE INTRODUCTION TO DIFFERENTIAL GEOMETRY\n     VOLUME ONE, THIRD EDITION\n     PRODUCT DESCRIPTION — Publish or Perish, Inc.\n     Paste into Shopify product description (HTML editor)\n     No emojis | No copyright symbols in body | Feed-safe\n\n     PAGE TITLE (SEO):\n     A Comprehensive Introduction to Differential Geometry, Vol. 1 by Michael Spivak | Publish or Perish\n\n     META DESCRIPTION (156 characters — paste into SEO field):\n     A Comprehensive Introduction to Differential Geometry Vol. 1 by Michael Spivak — the definitive foundation text, direct from the publisher. Free FedEx 2Day on US orders.\n     ============================================================ --\u003e\n\u003cstyle\u003e\n  .pop-desc {\n    font-family: Georgia, 'Times New Roman', serif;\n    color: #1a1a1a;\n    line-height: 1.75;\n    max-width: 720px;\n  }\n  .pop-desc p {\n    margin: 0 0 1.25em 0;\n    font-size: 1em;\n  }\n  .pop-desc strong {\n    font-weight: 700;\n  }\n  .pop-desc em {\n    font-style: italic;\n  }\n  \/* Opening lead paragraph *\/\n  .pop-desc .pop-lead {\n    font-size: 1.05em;\n    border-left: 3px solid #1a1a1a;\n    padding-left: 1.1em;\n    margin-bottom: 1.75em;\n  }\n  \/* Section headings *\/\n  .pop-desc h3 {\n    font-family: Georgia, 'Times New Roman', serif;\n    font-size: 0.8em;\n    font-weight: 700;\n    letter-spacing: 0.12em;\n    text-transform: uppercase;\n    color: #1a1a1a;\n    margin: 2em 0 0.75em 0;\n    padding-bottom: 0.4em;\n    border-bottom: 1px solid #d0d0d0;\n  }\n  \/* Feature list *\/\n  .pop-desc ul.pop-features {\n    list-style: none;\n    padding: 0;\n    margin: 0 0 1.5em 0;\n  }\n  .pop-desc ul.pop-features li {\n    padding: 0.55em 0 0.55em 1.4em;\n    position: relative;\n    border-bottom: 1px solid #efefef;\n    font-size: 0.97em;\n  }\n  .pop-desc ul.pop-features li:last-child {\n    border-bottom: none;\n  }\n  .pop-desc ul.pop-features li::before {\n    content: '';\n    position: absolute;\n    left: 0;\n    top: 50%;\n    transform: translateY(-50%);\n    width: 5px;\n    height: 5px;\n    background: #1a1a1a;\n    border-radius: 50%;\n  }\n  \/* Chapter list *\/\n  .pop-desc .pop-chapters {\n    list-style: none;\n    padding: 0;\n    margin: 0 0 1.5em 0;\n  }\n  .pop-desc .pop-chapters li {\n    padding: 0.6em 0 0.6em 1.4em;\n    position: relative;\n    border-bottom: 1px solid #efefef;\n    font-size: 0.95em;\n  }\n  .pop-desc .pop-chapters li:last-child {\n    border-bottom: none;\n  }\n  .pop-desc .pop-chapters li::before {\n    content: '';\n    position: absolute;\n    left: 0;\n    top: 50%;\n    transform: translateY(-50%);\n    width: 5px;\n    height: 5px;\n    background: #1a1a1a;\n    border-radius: 50%;\n  }\n  \/* Series note box *\/\n  .pop-desc .pop-note {\n    background: #f7f7f5;\n    border-left: 3px solid #1a1a1a;\n    padding: 1em 1.25em;\n    margin: 1.75em 0;\n    font-size: 0.93em;\n  }\n  .pop-desc .pop-note p {\n    margin: 0;\n  }\n  \/* Shipping strip *\/\n  .pop-desc .pop-shipping {\n    display: flex;\n    flex-wrap: wrap;\n    gap: 0;\n    border: 1px solid #d0d0d0;\n    margin: 1.75em 0;\n    font-size: 0.8em;\n  }\n  .pop-desc .pop-shipping-item {\n    flex: 1 1 auto;\n    min-width: 0;\n    padding: 0.7em 0.5em;\n    text-align: center;\n    border-right: 1px solid #d0d0d0;\n    box-sizing: border-box;\n  }\n  .pop-desc .pop-shipping-item:last-child {\n    border-right: none;\n  }\n  .pop-desc .pop-shipping-item .pop-shipping-label {\n    display: block;\n    font-size: 0.75em;\n    letter-spacing: 0.08em;\n    text-transform: uppercase;\n    color: #777;\n    margin-bottom: 0.2em;\n    white-space: nowrap;\n  }\n  .pop-desc .pop-shipping-item .pop-shipping-value {\n    display: block;\n    font-weight: 700;\n    color: #1a1a1a;\n    word-break: break-word;\n  }\n  \/* Divider *\/\n  .pop-desc hr.pop-rule {\n    border: none;\n    border-top: 1px solid #d0d0d0;\n    margin: 2em 0;\n  }\n  \/* Author bio *\/\n  .pop-desc .pop-author {\n    font-size: 0.93em;\n    color: #333;\n  }\n\u003c\/style\u003e\n\u003cdiv itemtype=\"https:\/\/schema.org\/Book\" itemscope=\"\" class=\"pop-desc\"\u003e\n\u003c!-- Plain SEO opener — keyword leads --\u003e\n\u003cp\u003e\u003cstrong itemprop=\"name\"\u003eA Comprehensive Introduction to Differential Geometry, Volume One, Third Edition by Michael Spivak\u003c\/strong\u003e is the foundational volume of the definitive series on the subject — available here direct from \u003cspan itemprop=\"publisher\"\u003ePublish or Perish, Inc.\u003c\/span\u003e, the official publisher.\u003c\/p\u003e\n\u003cp class=\"pop-lead\"\u003eVolume One establishes the complete modern language of differential geometry, devoting itself entirely to the theory of differentiable manifolds. Spivak's design was deliberate: rather than forcing classical geometric ideas into elementary terms through unnecessary contortions, this volume gives the reader the modern framework — manifolds, bundles, forms, vector fields — that was developed precisely to make those ideas rigorous. With that foundation in hand, the classical works of Gauss, Riemann, and their successors become readable on their own terms.\u003c\/p\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eAbout This Volume\u003c\/h3\u003e\n\u003cp\u003eSpivak wrote in the original preface that any serious introduction to differential geometry faces a fundamental dilemma. Modern treatments are clean and precise but leave the reader unable to read classical works and ignorant of how anyone ever arrived at the definitions. Classical treatments are historically rich but inaccessible to a reader trained in modern mathematics. His solution was to build the modern language first, compare it carefully with classical language throughout, and then — in the volumes that follow — use that foundation to read the foundational papers of Gauss and Riemann directly.\u003c\/p\u003e\n\u003cp\u003eThe result is a volume that is both a rigorous introduction to differentiable manifolds and a preparation for the historical and geometric material that follows. The third edition has been fully typeset with redrawn figures, and includes corrections brought to Spivak's attention by readers over many years. He described it as the third and final edition.\u003c\/p\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eWhat This Volume Covers\u003c\/h3\u003e\n\u003cul class=\"pop-chapters\"\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 1 — Manifolds:\u003c\/strong\u003e Elementary properties and examples of manifolds.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 2 — Differential Structures:\u003c\/strong\u003e Smooth structures, smooth functions, partial derivatives, critical points, immersion theorems, and partitions of unity.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 3 — The Tangent Bundle:\u003c\/strong\u003e Tangent spaces, vector bundles, vector fields, orientation, and equivalence classes of curves and derivations.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 4 — Tensors:\u003c\/strong\u003e The dual bundle, differentials of functions, multilinear functions, covariant and contravariant tensors, mixed tensors, and contraction.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 5 — Vector Fields and Differential Equations:\u003c\/strong\u003e Integral curves, existence and uniqueness theorems, local flows, one-parameter groups of diffeomorphisms, Lie derivatives, and brackets.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 6 — Integral Manifolds:\u003c\/strong\u003e Classical integrability theorems and the Frobenius integrability theorem, local and global theory.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 7 — Differential Forms:\u003c\/strong\u003e Alternating functions, the wedge product, forms, closed and exact forms, and the Poincare Lemma.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 8 — Integration:\u003c\/strong\u003e Classical line and surface integrals, Stokes' theorem, integrals over manifolds, volume elements, and de Rham cohomology.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 9 — Riemannian Metrics:\u003c\/strong\u003e Inner products, Riemannian metrics, length of curves, the calculus of variations, geodesics, the exponential map, and geodesic completeness.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eChapter 10 — Lie Groups:\u003c\/strong\u003e Lie groups, Lie algebras, one-parameter subgroups, the exponential map, closed subgroups, left invariant forms, bi-invariant metrics, and the equations of structure.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003cdiv class=\"pop-note\"\u003e\n\u003cp\u003eVolume One is the essential starting point for the series. Volumes Two through Five build directly on the foundation established here, moving into the classical geometry of Gauss and Riemann, curvature theory, higher-dimensional geometry, and partial differential equations. The complete five-volume set is also available at a 20% discount.\u003c\/p\u003e\n\u003c\/div\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eAbout This Edition\u003c\/h3\u003e\n\u003cp\u003eEach volume is hardcover with a matte laminate finish. The pages are printed on a premium 60lb uncoated text stock selected for its opacity, smoothness, and reading comfort. At 96 brightness with enhanced opacity, it renders mathematical notation and fine print with sharp contrast and minimal show-through. It is grain-short, meaning the paper fibers run parallel to the spine, which is why the pages turn easily and the book lies flat without being forced. Being acid-free, it will not yellow with age. Each volume is bound using PUR (Polyurethane Reactive) adhesive — a high-performance binding method that offers significantly greater page-pull strength and superior lay-flat quality compared to traditional glues, and holds reliably under heavy use.\u003c\/p\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003c!-- Shipping strip --\u003e\n\u003cdiv class=\"pop-shipping\"\u003e\n\u003cdiv class=\"pop-shipping-item\"\u003e\n\u003cspan class=\"pop-shipping-label\"\u003eShipping\u003c\/span\u003e \u003cspan class=\"pop-shipping-value\"\u003eFree FedEx 2Day (US)\u003c\/span\u003e\n\u003c\/div\u003e\n\u003cdiv class=\"pop-shipping-item\"\u003e\n\u003cspan class=\"pop-shipping-label\"\u003eProcessing\u003c\/span\u003e \u003cspan class=\"pop-shipping-value\"\u003e1 Business Day\u003c\/span\u003e\n\u003c\/div\u003e\n\u003cdiv class=\"pop-shipping-item\"\u003e\n\u003cspan class=\"pop-shipping-label\"\u003eDelivery\u003c\/span\u003e \u003cspan class=\"pop-shipping-value\"\u003e2 to 4 Days\u003c\/span\u003e\n\u003c\/div\u003e\n\u003cdiv class=\"pop-shipping-item\"\u003e\n\u003cspan class=\"pop-shipping-label\"\u003eReturns\u003c\/span\u003e \u003cspan class=\"pop-shipping-value\"\u003e30 Days\u003c\/span\u003e\n\u003c\/div\u003e\n\u003c\/div\u003e\n\u003chr class=\"pop-rule\"\u003e\n\u003ch3\u003eAbout the Author\u003c\/h3\u003e\n\u003cp itemprop=\"about\" class=\"pop-author\"\u003eMichael Spivak (1940–2020) earned his Ph.D. from Princeton University and is celebrated for writing mathematics textbooks of extraordinary rigor and clarity. \u003cem\u003eA Comprehensive Introduction to Differential Geometry\u003c\/em\u003e is his magnum opus — a five-volume work that remains the definitive treatment of the subject. He founded Publish or Perish, Inc., through which all of his major works are published.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Publish or Perish, Inc. ®","offers":[{"title":"Default Title","offer_id":50005562556718,"sku":"POP-ACIDG-V1-3E","price":112.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0829\/3705\/3486\/files\/DG1covercrop.png?v=1763683769"},{"product_id":"physics-for-mathematicians-mechanics-i-digital-edition","title":"Physics for Mathematicians: Mechanics I (Digital Edition)","description":"\u003cdiv\u003e\n\u003cp\u003e\u003cstrong\u003ePhysics for Mathematicians, Mechanics I\u003c\/strong\u003e by Michael Spivak is the definitive digital resource for those with a strong foundation in pure mathematics seeking a rigorous introduction to classical mechanics. In this inaugural volume,renowned mathematician Michael Spivak bridges the conceptual gap between abstract mathematical theory and physical principles.\u003c\/p\u003e\n\u003c\/div\u003e\n\u003chr\u003e\n\u003ch3\u003eDigital Formats and Compatibility\u003c\/h3\u003e\n\u003cdiv\u003e\n\u003cp\u003eOur eBook is delivered in its default format using \u003cstrong\u003eReadium LCP\u003c\/strong\u003e. For your convenience, \u003cstrong\u003eAdobe\u003c\/strong\u003e and other digital formats can be found in the dropdown menu under \"eBook Formats\" as they become available. This file is secured with Readium LCP DRM; a simple passphrase, delivered upon purchase, is all that is needed to access the file on compatible readers.\u003c\/p\u003e\n\u003c\/div\u003e\n\u003ch3\u003eKey Features of This Text\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eModern Mathematical Approach:\u003c\/strong\u003e Employs contemporary tools and perspectives of differential geometry to explain mechanics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eIn-Depth Insights:\u003c\/strong\u003e Drawn from the author's personal quest for a deeper, more comprehensive understanding of physics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eElegant Writing Style:\u003c\/strong\u003e An accessible and thoughtful structure that provides pedagogical clarity for complex topics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eIntellectually Rewarding:\u003c\/strong\u003e Specifically designed for mathematicians venturing into physical sciences or physicists seeking a profound theoretical foundation.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eDigital Edition Details\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eTitle:\u003c\/strong\u003e Physics for Mathematicians, Mechanics I\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAuthor:\u003c\/strong\u003e Michael Spivak\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePublisher:\u003c\/strong\u003e Publish or Perish, Inc.®\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFormat:\u003c\/strong\u003e Digital PDF\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003ePrimary DRM:\u003c\/strong\u003e Readium LCP (Passphrase protected)\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eDigital Edition ISBN:\u003c\/strong\u003e 978-0-914098-06-5\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003ePublisher's Note\u003c\/h3\u003e\n\u003cdiv\u003e\n\u003cp\u003eAs the official publisher, we provide \u003cstrong\u003ePhysics for Mathematicians, Mechanics I\u003c\/strong\u003e directly from our press. Choosing this official digital version guarantees you receive a high-fidelity, authorized text that maintains the integrity of Michael Spivak's masterful work.\u003c\/p\u003e\n\u003cp\u003eElevate your understanding of theoretical physics today with \u003cstrong\u003ePhysics for Mathematicians, Mechanics I\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp\u003e© Publish or Perish, Inc.® All rights reserved.\u003c\/p\u003e\n\u003c\/div\u003e","brand":"Publish or Perish, Inc. ®","offers":[{"title":"Default Title","offer_id":51141300388142,"sku":null,"price":129.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0829\/3705\/3486\/files\/spivak-physics-for-mathematicians-mechanics-i-cover-watermarked.png?v=1759885449"}],"url":"https:\/\/mathpop.com\/ca\/collections\/homepage-features.oembed","provider":"Publish or Perish, Inc. ®","version":"1.0","type":"link"}