Numbers, Groups and Codes

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J. F. Humphreys (University of Liverpool) M. Y. Prest (Professor, University of Manchester)

Numbers, Groups and Codes

J. F. Humphreys (University of Liverpool), M. Y. Prest (Professor, University of Manchester)

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English

Cambridge University Press
14 July 2004

Mathematics & Sciences; Groups & group theory; Combinatorics & graph theory

This textbook is an introduction to algebra via examples. The book moves from properties of integers, through other examples, to the beginnings of group theory. Applications to public key codes and to error correcting codes are emphasised. These applications, together with sections on logic and finite state machines, make the text suitable for students of computer science as well as mathematics students. Attention is paid to historical development of the mathematical ideas. This second edition contains new material on mathematical reasoning skills and a new chapter on polynomials has been added. The book was developed from first-level courses taught in the UK and USA. These courses proved successful in developing not only a theoretical understanding but also algorithmic skills. This book can be used at a wide range of levels: it is suitable for first- or second-level university students, and could be used as enrichment material for upper-level school students.

By: J. F. Humphreys (University of Liverpool), M. Y. Prest (Professor, University of Manchester)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm, Spine: 19mm
Weight: 575g
ISBN: 9780521540506
ISBN 10: 052154050X
Publication Date: 14 July 2004
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

1. Number theory; 2. Sets, functions and relations; 3. Logic and mathematical argument; 4. Examples of groups; 5. Group theory and error-correcting codes; 6. Polynomials.

Reviews for Numbers, Groups and Codes

'This book is a lucid introduction to the subject which would make a suitable text for a one-semester course in the undergraduate program. It is very useful to everybody who want to understand the concepts of algebra and group theory and their relation to applications, particularly in computer science.' Zentralblatt MATH