Galois theory伽罗瓦理论
点此进入淘宝搜索页搜索分类: 图书,进口原版书,科学与技术 Science & Techology ,
作者： Harold M. Edwards著
出 版 社：
出版时间： 1997-11-1字数：版次： 1页数： 152印刷时间： 1997/11/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9780387909806包装： 精装内容简介
This book is an introduction to Galois theory along the lines of Galois' "Memoir on the Conditions for Solvability of Equations by Radicals". Some antecedents of Galois theory in the works of Gauss, Lagrange, Vandemonde, Newton, and even the ancient Babylonians, are explained in order to put Galois' main ideas in their historical setting. The modern formulation of the theory is also explained. The book contains many exercises - with answers - and an English translation of Galois' memoir.
目录
Acknowledgments xiii
1. Galois
2. Influence of Lagrange
3. Quadratic equations
4.1700 B.c. to A.D. 1500
5. Solution of cubic
6. Solution ofquartic
7.Impossibility of quintic
8. Newton
9. Symmetric polynomials in roots
10. Fundamental theorem on symmetric polynomials
11. Proof
12.Newton's theorem
13. DiscriminantsFirst Exercise Set
14. Solution of cubic
15. Lagrange and Vandermonde
16. Lagrangeresolvents
17. Solution of quartic again
18. Attempt at quintic
19.Lagrange's RflexionsSecond Exercise Set
20.Cyclotomic equations
……
Answers to exercises
List of exercises
References
Index
