17 lectures on fermat numbers论费马数的17篇文献：从数论到几何学
点此进入淘宝搜索页搜索分類: 图书,进口原版书,科学与技术 Science & Techology ,
作者： Michal Krizek，Florian Luca，Lawrence Somer著
出 版 社：
出版时间： 2002-1-1字数：版次：页数： 257印刷时间： 2002/01/01开本： 16开印次：纸张： 胶版纸I S B N ： 9780387953328包装： 精装内容简介
The pioneering work of French mathematician Pierre de Fermat has attracted the attention of mathematicians for over 350 years. This book was written in honor of the 400th anniversary of his birth, providing readers with an overview of the many properties of Fermat numbers and demonstrating their applications in areas such as number theory, probability theory, geometry, and signal processing. This book introduces a general mathematical audience to basic mathematical ideas and algebraic methods connected with the Fermat numbers.
目录
Foreword
Preface
Glossary of Symbols
1. Introduction
2. Fundamentals of Number Theory
3. Basic Properties of Fermat Numbers
4. The Most Beautiful Theorems on Fermat Numbers
5. Primality of Fermat Numbers
6. Divisibility of Fermat Numbers
7. Factors of Fermat Numbers
8. Connection of Fermat Numbers with Pascal's Triangle
9. Miscellaneous Results
10. The Irrationality of the Sum of Some Reciprocals
11. Fermat Primes and a Diophantine Equation
12. Fermat's Little Theorem, Pseudoprimes, and Superpseudoprimes
13. Generalizations of Fermat Numbers
14. Open Problems
15. Fermat Number Transform and Other Applications
16. The Proof of Gauss's Theorem
17. Euclidean Construction of the Regular Heptadecagon
Appendix
A. Tables of Fermat Numbers and Their Prime Factors
B. Mersenne Numbers
C. Remembrance of Pierre de Fermat
References
Web Site Sources
Name Index
Subject Index
