計算數(shù)論

出版時間:2004-11  出版社:世界圖書出版  作者:,Song Y.Yan,, 編  
Tag標簽:無  

內容概要

Since the publication of the first edition, I have received many communications from readers all over the world. It is my great pleasure to thank the following people for their comments, corrections and encouragements: Prof. Jim Austin, Prof. Friedrich L. Bauer, Dr. Hassan Daghigh Dr. Deniz Deveci, Mr. Rich Fearn, Prof. Martin Hellman, Prof. Zixin Hou, Mr. Waseem Hus- sain, Dr. Gerard R. Maze, Dr. Paul Maguire, Dr. Helmut Meyn, Mr. Robert Pargeter, Mr. Mok-Kong Shen, Dr. Peter Shiu, Prof. Jonathan P. Sorenson, and Dr. David L. Stern. Special thanks must be given to Prof. Martin Hellman of Stanford University for writing the kind Foreword to this edition and also for his helpful advice and kind guidance, to Dr. Hans WSssner, Mr. Alfred Hofmann, Mrs. Ingeborg Mayer, Mrs. Ulrike Stricker, and Mr. Frank Holzwarth of Springer-Verlag for their kind help and encouragements during the preparation of this edition, and to Dr. Rodney Coleman, Prof. Glyn

書籍目錄

1. Elementary Number Theory   1.1 Introduction     1.1.1 What is Number Theory?     1.1.2 Applications of Number Theory     1.1.3 Algebraic Preliminaries   1.2 Theory of Divisibility     1.2.1 Basic Concepts and Properties of Divisibility     1.2.2 Fundamental Theorem of Arithmetic     1.2.3 Mersenne Primes and Fermat Numbers     1.2.4 Euclid‘s Algorithm     1.2.5 Continued Fractions   1.3 Diophantine Equations     1.3.1 Basic Concepts of Diophantine Equations     1.3.2 Linear Diophantine Equations     1.3.3 Pell‘s Equations   1.4 Arithmetic Functions     1.4.1 Multiplicative Functions     1.4.2 Functions (n), (n) and s(n)     1.4.3 Perfect, Amicable and Sociable Numbers     1.4.4 Functions (n), (n) and (n)   1.5 Distribution of Prime Numbers    1.5.1 Prime Distributionj Function π(x)    1.5.2 Approximations of π(x)by x/ln x    1.5.3 Approximationa of π(x)by Li(x)     1.5.4 The Riemann s-Functions    1.5.5 The nth Prime    1.5.6 Distribution of Twin Primes    1.5.7 The Arithmetic Progression of Primes  1.6 Theory of Congruences……  1.7 Arthmetic of Elliptic Curves  1.8 Bibliographic Notes and Further Reading2 Computational/Algorthmic Number Theory  2.1 introduction  2.2 ALgorithms for Primality Testing  2.3 Algorithms for Integer Factorization   2.4 Algorithms for Discrete Logarithms  2.5 Quantum Nuber-Theoretic Algorithms  2.6 Miscellaneous Algorithms in Number Theory  2.7 Bibliographic Notes and Further Reading3 Applied Nuber Theory in Computing/Cryptography  3.1 Why Applied Nuber Theory?  3.2 Computer Systems Design  3.3 Cryptography and Information Security  3.4 Bibliographic Notes and Further ReadingBibliographyIndex

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  •   值得推薦給大家看,而且我舉得要看就得看英文原版的。
  •   這本書的模式是:圍繞一個主題討論相關的內容,給出重要的定理和推論,算法雖然沒給出,但寫出來已經(jīng)是水到渠成的事情。
  •   還可以,總的來說比中文的要好
 

250萬本中文圖書簡介、評論、評分,PDF格式免費下載。 第一圖書網(wǎng) 手機版

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