费马大定理:代数数论的原始导引 电子书下载 PDF下载

费马大定理:代数数论的原始导引
内容简介
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. ·查看全部>>
目录
Chapter 1 fermat
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
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