Numbers, Groups and Codes

Author: J.F. Humphreys and M.Y. Prest

A revised and updated version of popular textbook on abstract algebra, including new sections and numerous problems.

A thoroughly revised and updated version of the popular textbook on abstract algebra. The material is introduced with clarity and reference to problems and concepts that students will easily understand. With many examples and exercises, it will serve as the ideal introduction to this important and ubiquitous subject.

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Summary

A revised and updated version of popular textbook on abstract algebra, including new sections and numerous problems.

Description

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.

Critic Reviews

“"This book merits a close look because of its pedagogical strengths. One might say this book really is about 'How to think about mathematics.' And that is a great virtue...The book is sprinkled with historical and other motivations...a very useful text on abstract algebra." MAA Online”

'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