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.
- Fully revised and updated version of this popular textbook
- Contains new sections on mathematical reasoning and polynomials
- Can be used for teaching at 1st, 2nd year university level as well as enrichment for advanced students
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'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

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Product details
- Edition: 2nd Edition
- Date Published: May 2004
- format: Paperback
- isbn: 9780521540506
- length: 356 pages
- dimensions: 229 x 152 x 19 mm
- weight: 0.575kg
- contains: 100 b/w illus.
- availability: Available
Table of Contents
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.
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Instructors have used or reviewed this title for the following courses
- Applied Algorithms
- Discrete Math
- Foundations of the language of Mathematics
- Graph Theory
- Honors Concepts of Discrete Mathematics
Authors
J. F. Humphreys, University of Liverpool
M. Y. Prest, University of Manchester

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