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A First Course in Modular Forms (Graduate Texts in Mathematics) 2024 pdf epub mobi 電子書下載

A First Course in Modular Forms (Graduate Texts in Mathematics)

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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) 2024 pdf epub mobi 電子書下載

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發表於2024-06-29

A First Course in Modular Forms (Graduate Texts in Mathematics) 2024 pdf epub mobi 電子書下載

A First Course in Modular Forms (Graduate Texts in Mathematics) 2024 pdf epub mobi 電子書下載

A First Course in Modular Forms (Graduate Texts in Mathematics) 2024 pdf epub mobi 電子書下載

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A First Course in Modular Forms (Graduate Texts in Mathematics) pdf epub mobi 讀後感

評分☆☆☆☆☆

花瞭10分鍾速度翻完。內容主要是介紹moduilarity theorem：任何一個Elliptic curve E/Q, 均存在一個N 以及一個morphism F: X_0(N) ightarrow E, over Q 也就是說，Elliptic Curve實際上是由Hecke newform通過Eichler-Shimura理論得到。雖然描述瞭不同版本的modularity，但...

評分☆☆☆☆☆

花瞭10分鍾速度翻完。內容主要是介紹moduilarity theorem：任何一個Elliptic curve E/Q, 均存在一個N 以及一個morphism F: X_0(N) ightarrow E, over Q 也就是說，Elliptic Curve實際上是由Hecke newform通過Eichler-Shimura理論得到。雖然描述瞭不同版本的modularity，但...

評分☆☆☆☆☆

花瞭10分鍾速度翻完。內容主要是介紹moduilarity theorem：任何一個Elliptic curve E/Q, 均存在一個N 以及一個morphism F: X_0(N) ightarrow E, over Q 也就是說，Elliptic Curve實際上是由Hecke newform通過Eichler-Shimura理論得到。雖然描述瞭不同版本的modularity，但...

評分☆☆☆☆☆

花瞭10分鍾速度翻完。內容主要是介紹moduilarity theorem：任何一個Elliptic curve E/Q, 均存在一個N 以及一個morphism F: X_0(N) ightarrow E, over Q 也就是說，Elliptic Curve實際上是由Hecke newform通過Eichler-Shimura理論得到。雖然描述瞭不同版本的modularity，但...

評分☆☆☆☆☆

花瞭10分鍾速度翻完。內容主要是介紹moduilarity theorem：任何一個Elliptic curve E/Q, 均存在一個N 以及一個morphism F: X_0(N) ightarrow E, over Q 也就是說，Elliptic Curve實際上是由Hecke newform通過Eichler-Shimura理論得到。雖然描述瞭不同版本的modularity，但...

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出版者:Springer

作者:Fred Diamond

出品人:

頁數:452

譯者:

出版時間:2007-04-30

價格:USD 69.95

裝幀:Hardcover

isbn號碼:9780387232294

叢書系列:Graduate Texts in Mathematics

圖書標籤: 模形式數學 modular_forms 數論自守形式橢圓麯綫 math Number_Theory

A First Course in Modular Forms (Graduate Texts in Mathematics) 2024 pdf epub mobi 電子書下載

想要找書就要到本本書屋

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A First Course in Modular Forms (Graduate Texts in Mathematics) pdf epub mobi 用戶評價

評分☆☆☆☆☆

不錯

評分☆☆☆☆☆

不錯

評分☆☆☆☆☆

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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

評分☆☆☆☆☆

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……

A First Course in Modular Forms (Graduate Texts in Mathematics) 2024 pdf epub mobi 電子書下載

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