费马大定理

书籍目录

Chapter 2 Euler
Chapter 3 From Euler to Kummer
Chapter 4 Kummer's theory of ideal factors
Chapter 5 Fermat's Last Theorem for regular primes
Chapter 6 Determination of the class number
Chapter 7 Divisor theory for quadratic integers
Chapter 8 Gauss's theory of binary quadratic forms
Chapter 9 Dirichlet's class number formula
Appendix: The natural numbers
Answers to exercises
Bibliography
Index

作者简介

《国外数学名著系列79:费马大定理(代数数论的原始导引)(影印版)》介绍了著名的费马大定理的发展，从费马大定理起至Kummer的理论结束，以此介绍代数数论。而一些更基础的理论，如Euler证明x+y=z的不可能性，则以更简单的方式阐述。一些新的理论和工具则通过具体问题加以介绍。这本专著还详细介绍了Kummer理论在二次积分的应用及其与Gauss理论的联系，这部分理论在其他专著中都未曾有过介绍。

This introduction to algebraic number theory via the famous problem of "Fermats Last Theorem" follows its historical development,beginning with the work of Fermat and ending with Kummers theory of "ideal" factorization. The more elementary topics, such as Eulers proof of the impossibilty of x+y=z, are treated in an uncomplicated way, and new concepts and techniques are introduced only after having been motivated by specific problems. The book also covers in detail the application of Kummers theory to quadratic integers and relates this to Gauss'theory of binary quadratic forms, an interesting and important connection that is not explored in any other book。

图书封面

 费马大定理下载