Number Theory for Computing

M. E. Hellmann, Song Y. Yan

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English

Springer-Verlag Berlin and Heidelberg GmbH & Co. K
01 December 2010

Information theory; Coding theory & cryptology; Algorithms & data structures; Data encryption; Mathematical theory of computation

"Modern cryptography depends heavily on number theory, with primality test ing, factoring, discrete logarithms (indices), and elliptic curves being perhaps the most prominent subject areas. Since my own graduate study had empha sized probability theory, statistics, and real analysis, when I started work ing in cryptography around 1970, I found myself swimming in an unknown, murky sea. I thus know from personal experience how inaccessible number theory can be to the uninitiated. Thank you for your efforts to case the transition for a new generation of cryptographers. Thank you also for helping Ralph Merkle receive the credit he deserves. Diffie, Rivest, Shamir, Adleman and I had the good luck to get expedited review of our papers, so that they appeared before Merkle's seminal contribu tion. Your noting his early submission date and referring to what has come to be called ""Diffie-Hellman key exchange"" as it should, ""Diffie-Hellman-Merkle key exchange"", is greatly appreciated. It has been gratifying to see how cryptography and number theory have helped each other over the last twenty-five years. :'-Jumber theory has been the source of numerous clever ideas for implementing cryptographic systems and protocols while cryptography has been helpful in getting funding for this area which has sometimes been called ""the queen of mathematics"" because of its seeming lack of real world applications. Little did they know! Stanford, 30 July 2001 Martin E. Hellman Preface to the Second Edition Number theory is an experimental science."

By: Song Y. Yan
Foreword by: M. E. Hellmann
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Country of Publication: Germany
Edition: Softcover reprint of hardcover 2nd ed. 2002
Dimensions: Height: 235mm, Width: 155mm, Spine: 23mm
Weight: 700g
ISBN: 9783642077104
ISBN 10: 3642077102
Pages: 435
Publication Date: 01 December 2010
Audience: Professional and scholarly , Professional and scholarly , Undergraduate , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Reviews for Number Theory for Computing

"From the reviews of the second edition: ""This book gives a profound and detailed insight at an undergraduate level in abstract and computational number theory as well as in applications in computing and cryptography. … The author has done a lot of work in providing a plenty of examples, in adding many historical comments including sketchy biographies … and in presenting the whole topic in a very accessible style. So the book can be recommended warmly for the laymen as well as for the mathematician without experience in applied number theory."" (G. Kowol, Monatshefte für Mathematik, Vol. 140 (4), 2003)"