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內容簡介

　　This volume is the record of an instructional conference on number theory and arithmetic geometry held from August 9 through 18， 1995 at Boston University. It contains expanded versions of all of the major lectures given during the conference. We want to thank all of the speakers， all of the writers whose contributions make up this volume， and all of the "behindthe-scenes" folks whose assistance was indispensable in running the conference. We would especially like to express our appreciation to Patricia Pacelli， who coordinated most of the details of the conference while in the midst of writing her PhD thesis， to Jaap Top and Jerry Tunnell， who stepped into the breach on short notice when two of the invited speakers were unavoidably unable to attend， and to Stephen Gelbart， whose courage and enthusiasm in the face of adversity has been an inspiration to us.

內頁插圖

目錄

Preface
Contributors
Schedule of Lectures
Introduction

CHAPTER Ⅰ
An Overview of the Proof of Fermat's Last Theorem GLENN STEVENS
A remarkable elliptic curve
Galois representations
A remarkable Galois representation
Modular Galois representations
The Modularity Conjecture and Wiles's Theorem
The proof of Fermat's Last Theorem
The proof of Wiles's Theorem
References

CHAPTER Ⅱ
A Survey of the Arithmetic Theory of Elliptic Curves JOSEPH H. SILVERMAN
Basic definitions
The group law
Singular cubics
Isogenies
The endomorphism ring
Torsion points
Galois representations attached to E
The Weil pairing
Elliptic curves over finite fields
Elliptic curves over C and elliptic functions
The formal group of an elliptic curve
Elliptic curves over local fields
The Selmer and Shafarevich-Tate groups
Discriminants, conductors, and L-series
Duality theory
Rational torsion and the image of Galois
Tate curves
Heights and descent
The conjecture of Birch and Swinnerton-Dyer
Complex multiplication
Integral points
References

CHAPTER Ⅲ
Modular Curvcs, Hecke Correspondences, and L-Functions DAVID E.ROHRLICH
Modular curves
The Hcckc corrospondences
L-functions
Rcfcrcnccs

CHAPTER Ⅳ
……

前言/序言

經典數學叢書（影印版）：模形式與費馬大定理 [Modular Forms and Fermat's Last Theorem] 下載 mobi epub pdf txt 電子書

評分☆☆☆☆☆

本書其實是1995年8月在波士頓大學的一次學術會議的論文集。收集瞭當時的演講者的論文，第一章是費爾馬大定理的證明概述，第二章是橢圓麯綫是算術理論綜述，第三章橢圓麯綫，赫剋對應，L函數。本書很厚，接近六百頁，需要一些功夫

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評分☆☆☆☆☆

經典就是經典瞭，數學專業學習好。有教育意義的書籍，推薦給大傢分享

評分☆☆☆☆☆

本書其實是1995年8月在波士頓大學的一次學術會議的論文集。收集瞭當時的演講者的論文，第一章是費爾馬大定理的證明概述，第二章是橢圓麯綫是算術理論綜述，第三章橢圓麯綫，赫剋對應，L函數。本書很厚，接近六百頁，需要一些功夫

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