Advertisement

Topics in Group Theory

  • Geoff C. Smith
  • Olga M. Tabachnikova

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Geoff C. Smith, Olga M. Tabachnikova
    Pages 1-41
  3. Geoff C. Smith, Olga M. Tabachnikova
    Pages 43-87
  4. Geoff C. Smith, Olga M. Tabachnikova
    Pages 89-124
  5. Geoff C. Smith, Olga M. Tabachnikova
    Pages 125-158
  6. Law
    Geoff C. Smith, Olga M. Tabachnikova
    Pages 159-188
  7. Geoff C. Smith, Olga M. Tabachnikova
    Pages 189-217
  8. Geoff C. Smith, Olga M. Tabachnikova
    Pages 219-228
  9. Geoff C. Smith, Olga M. Tabachnikova
    Pages 229-238
  10. Back Matter
    Pages 239-255

About this book

Introduction

We very much hope that this book will be read by the interested student (and not just be parked on a shelf for occasional consultation). If you want a comprehensive reference book on Group Theory, do not buy this text. There are much better books available, some of which are mentioned below. We have a tale to tell; the absolute essentials of the theory of groups, followed by some entertainments and some more advanced material. The theory of groups is an enormous body of material which interacts with other branches of mathematics at countless frontiers. Some parts of the theory are essentially complete, but in other areas all we see are questions. People happily read novels, so why not mathematics books? When math­ ematics was studied by only a few people, there was less need to try to write attractively or encouragingly since the likely readership consisted of a small group of highly motivated individuals who needed little encouragement. Even so, many talented academic writers managed to write brilliantly because they knew no other way. As higher education has opened up in economically devel­ oped countries, a much more diverse collection of people is exploring advanced mathematics and science. The challenge for authors is to produce books which engage this wider community without compromising the content.

Keywords

Abstract algebra Symmetry algebra group action group theory

Authors and affiliations

  • Geoff C. Smith
    • 1
  • Olga M. Tabachnikova
    • 1
  1. 1.School of Mathematical SciencesUniversity of BathBathUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0461-2
  • Copyright Information Springer-Verlag London Limited 2000
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-235-8
  • Online ISBN 978-1-4471-0461-2
  • Series Print ISSN 1615-2085
  • Buy this book on publisher's site
Industry Sectors
Pharma
Telecommunications