A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025

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Fred Diamond 作者

Springer

譯者

2007-04-30 出版日期

452 頁數

USD 69.95 價格

Hardcover

Graduate Texts in Mathematics 叢書系列

9780387232294 圖書編碼

A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書圖書標籤: 模形式數學 modular_forms 數論自守形式橢圓麯綫 math Number_Theory

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A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2025

A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2025

A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2025

A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書用戶評價

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Modularity Theorem的幾種版本,最後一章也可以作為Galois representations的小入門

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180114 跳證明但試著好好理解後半本，原來後半本是講復數域推廣到更一般的域，學過黎曼麵後理解輕鬆瞭很多。 // 170222 習題多數是推導過程的中間步驟，還有一些幫助理解的例子。（我看到後半本崩潰得狂跳證明瞭，等二刷……

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評分☆☆☆☆☆

Modularity Theorem的幾種版本,最後一章也可以作為Galois representations的小入門

A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書著者簡介

A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書圖書描述

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.</P>

A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書下載 mobi epub pdf txt 在線電子書下載

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A First Course in Modular Forms (Graduate Texts in Mathematics) 在線電子書讀後感

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花了10分钟速度翻完。内容主要是介绍moduilarity theorem：任何一个Elliptic curve E/Q, 均存在一个N 以及一个morphism F: X_0(N) ightarrow E, over Q 也就是说，Elliptic Curve实际上是由Hecke newform通过Eichler-Shimura理论得到。虽然描述了不同版本的modularity，但...

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