经典数学丛书（影印版）：模形式与费马大定理 [Modular Forms and Fermat's Last Theorem] pdf epub mobi txt 电子书 下载 2025

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[美] 康奈尔（Corness，G.） 著

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出版社： 世界图书出版公司

ISBN：9787510070174

版次：1

商品编码：11551548

包装：平装

外文名称：Modular Forms and Fermat's Last Theorem

开本：24开

出版时间：2014-03-01

用纸：胶版纸

页数：582

正文语种：英文

内容简介

　　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.

内页插图

目录

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

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评分☆☆☆☆☆

本书其实是1995年8月在波士顿大学的一次学术会议的论文集。收集了当时的演讲者的论文，第一章是费尔马大定理的证明概述，第二章是椭圆曲线是算术理论综述，第三章椭圆曲线，赫克对应，L函数。本书很厚，接近六百页，需要一些功夫

评分☆☆☆☆☆

非常好的书籍，值得推荐。

评分☆☆☆☆☆

虽然重要的是内容，但世图你好歹出一些精装版的书如何啊

评分☆☆☆☆☆

本书其实是1995年8月在波士顿大学的一次学术会议的论文集。收集了当时的演讲者的论文，第一章是费尔马大定理的证明概述，第二章是椭圆曲线是算术理论综述，第三章椭圆曲线，赫克对应，L函数。本书很厚，接近六百页，需要一些功夫

评分☆☆☆☆☆

非常好的书籍，值得推荐。

评分☆☆☆☆☆

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

评分☆☆☆☆☆

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评分☆☆☆☆☆

书的质量很好，内容慢慢看！