{"product_id":"a-first-course-in-modular-forms-graduate-texts-in-mathematics-vol-228-graduate-texts-in-mathematics-228","title":"A First Course in Modular Forms (Graduate Texts in Mathematics, Vol. 228) (Graduate Texts in Mathematics, 228)","description":"This book introduces the theory of modular forms with an eye toward the Modularity Theorem:All rational elliptic curves arise from modular forms.\n\nThe topics covered include\n• elliptic curves as complex tori and as algebraic curves,\n• modular curves as Riemann surfaces and as algebraic curves,\n• Hecke operators and Atkin–Lehner theory,\n• Hecke eigenforms and their arithmetic properties,\n• the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms,\n• elliptic and modular curves modulo p and the Eichler–Shimura Relation,\n• the Galois representations associated to elliptic curves and to Hecke eigenforms.\n\nAs it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory.A First Course in Modular Forms is written for beginning graduate students and advanced undergraduates. It does not require background in algebraic number theory or algebraic geometry, and it contains exercises throughout.Fred Diamond received his Ph.D from Princeton University in 1988 under the direction of Andrew Wiles and now teaches at King's College London. Jerry Shurman received his Ph.D from Princeton University in 1988 under the direction of Goro Shimura and now teaches at Reed College.\u003cbr\u003eASIN: 038723229X\u003cbr\u003eVSKU: GBV.038723229X.A\u003cbr\u003eCondition: Acceptable\u003cbr\u003eAuthor\/Artist:Diamond, Fred|Shurman, Jerry\u003cbr\u003eBinding: Hardcover\u003cbr\u003e\u003cb\u003eNote:\u003c\/b\u003e Any images shown are stock photographs and product may differ from what is shown.  \u003cbr\u003e\u003cb\u003eCondition Notes\u003c\/b\u003e: This book is in acceptable condition and may have highlighting and or writing throughout. The actual cover image may not match the stock photo, dust jacket may be damaged or missing. Book may show internal and or external wear on spine or cover and may be slightly skewed or have creased pages. This is a used book so codes may be invalid or accompanying media may be missing. May be an Ex library book with stickers and stamps.  \u003cbr\u003e","brand":"Good Books Company","offers":[{"title":"Default Title","offer_id":51403963662641,"sku":"GBV.038723229X.A","price":48.83,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0914\/3730\/2065\/files\/038723229X-0.jpg?v=1748115022","url":"https:\/\/goodbookscompany.org\/products\/a-first-course-in-modular-forms-graduate-texts-in-mathematics-vol-228-graduate-texts-in-mathematics-228","provider":"Good Books Company","version":"1.0","type":"link"}