This book introduces the theory of modular forms with an eye toward the Modularity Theorem:All rational elliptic curves arise from modular forms. The topics covered include * elliptic curves as complex tori and as algebraic curves, * modular curves as Riemann surfaces and as algebraic curves, * Hecke operators and Atkin-Lehner theory, * Hecke eigenforms and their arithmetic properties, * the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, * elliptic and modular curves modulo p ... Read More
This book introduces the theory of modular forms with an eye toward the Modularity Theorem:All rational elliptic curves arise from modular forms. The topics covered include * elliptic curves as complex tori and as algebraic curves, * modular curves as Riemann surfaces and as algebraic curves, * Hecke operators and Atkin-Lehner theory, * Hecke eigenforms and their arithmetic properties, * the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms, * elliptic and modular curves modulo p and the Eichler-Shimura Relation, * the Galois representations associated to elliptic curves and to Hecke eigenforms. As 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. Read Less
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Fine. Glued binding. Paper over boards. 450 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 228. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Fair. 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.
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Fine. Contains: Illustrations, black & white. Graduate Texts in Mathematics . XVI, 450 p. 57 illus. Intended for professional and scholarly audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Good. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes).
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Fine. Glued binding. Paper over boards. 450 p. Contains: Illustrations, black & white. Graduate Texts in Mathematics, 228. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
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Like New. Size: 6x1x9; First printing of this 2005 edition in excellent condition. The pages are clean and crisp, in like new condition, with no bent corners. Pictorial boards are as new, and the spine is square and tight. No jacket as issued. Book appears unread/ unused.
