A Computational Introduction to Number Theory and Algebra

Shoup, Victor

Rilegato

ISBN 10: 0521516447 ISBN 13: 9780521516440

Casa editrice: Cambridge University Press, 2008

Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory. This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. Ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

Recensione:

'The subject matter is presented in a very thorough way ... The material is very well organized: definitions, results and their interrelations fit together perfectly ... The book is especially attractive to students with a background or interest in computer science ... The suitability of the book for self-study is greatly enhanced by a wealth of exercises and examples that are provided ... the book is very well-written, and it is a pleasure to read.' Mathematics of Computation

'... the book could serve as a course of discrete mathematics for computer science students.' EMS Newsletter

Descrizione del libro:

This introductory book emphasizes algorithms and applications, and is accessible to a broad audience. The author alternates between theory and applications in order to illustrate the mathematics. This second edition includes many new exercises and worked examples, and has been reorganized to improve presentation and clarity of exposition.