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Table of contents

  1. Front Matter
    Pages i-xi
  2. D. L. Johnson
    Pages 1-13
  3. D. L. Johnson
    Pages 15-25
  4. D. L. Johnson
    Pages 27-43
  5. D. L. Johnson
    Pages 45-53
  6. D. L. Johnson
    Pages 55-77
  7. D. L. Johnson
    Pages 79-88
  8. D. L. Johnson
    Pages 89-95
  9. D. L. Johnson
    Pages 97-105
  10. D. L. Johnson
    Pages 107-121
  11. D. L. Johnson
    Pages 123-137
  12. D. L. Johnson
    Pages 139-153
  13. D. L. Johnson
    Pages 155-166
  14. Back Matter
    Pages 167-198

About this book

Introduction

" ... many eminent scholars, endowed with great geometric talent, make a point of never disclosing the simple and direct ideas that guided them, subordinating their elegant results to abstract general theories which often have no application outside the particular case in question. Geometry was becoming a study of algebraic, differential or partial differential equations, thus losing all the charm that comes from its being an art." H. Lebesgue, Ler;ons sur les Constructions Geometriques, Gauthier­ Villars, Paris, 1949. This book is based on lecture courses given to final-year students at the Uni­ versity of Nottingham and to M.Sc. students at the University of the West Indies in an attempt to reverse the process of expurgation of the geometry component from the mathematics curricula of universities. This erosion is in sharp contrast to the situation in research mathematics, where the ideas and methods of geometry enjoy ever-increasing influence and importance. In the other direction, more modern ideas have made a forceful and beneficial impact on the geometry of the ancients in many areas. Thus trigonometry has vastly clarified our concept of angle, calculus has revolutionised the study of plane curves, and group theory has become the language of symmetry.

Keywords

Abelian group Group theory Groups Symmetries Symmetry group polytope

Authors and affiliations

  • D. L. Johnson
    • 1
  1. 1.Department of MathematicsUniversity of NottinghamUniversity Park, NottinghamUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-0243-4
  • Copyright Information Springer-Verlag London Limited 2001
  • Publisher Name Springer, London
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-85233-270-9
  • Online ISBN 978-1-4471-0243-4
  • Series Print ISSN 1615-2085
  • Buy this book on publisher's site