A Computational Introduction to Number Theory and Algebra by Victor Shoup

A Computational Introduction to Number Theory and Algebra by Victor Shoup

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.

'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

Victor Shoup is a Professor in the Department of Computer Science at the Courant Institute of Mathematical Sciences, New York University.

SKU	Unavailable
ISBN 13	9780521516440
ISBN 10	0521516447
Title	A Computational Introduction to Number Theory and Algebra
Author	Victor Shoup
Condition	Unavailable
Publisher	Cambridge University Press
Year published	2008-12-04
Number of pages	600
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable