Numbers, Groups and Codes

by J. F. Humphreys (Author)

• New

  Illustrated
  2004

  $54.17

  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.

• Used

  Paperback
  1990

  $8.73

  The aim of this textbook is to introduce the concepts of algebra via examples and to relate them to their applications, particularly in computer sciences. It can be used to teach courses that bridge the widening gap between school and university. In order to give a definite shape to the material, topics that develop elementary group theory are included. The choice of topics is motivated by the wish to provide a sound, rigorous and historically relevant introduction to group theory. Studying group theory in this way enables the student to recognize mathematical patterns in other areas, some traditional, others not so. The book has 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.