Groups and Geometry
eBook - PDF

Groups and Geometry

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Groups and Geometry

About this book

This book, which was originally published in 1985 and has been translated and revised by the author from notes of a course, is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and, whilst keeping the presentation at a level that assumes only a basic background in mathematics, leads the reader to the frontiers of current research at the time of publication. The treatment is concrete and combinatorial with a minimal use of analytic geometry. In the interest of the reader's intuition, most of the geometry considered is two-dimensional and there is an emphasis on examples, both in the text and in the problems at the end of each chapter.

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Yes, you can access Groups and Geometry by Roger C. Lyndon in PDF and/or ePUB format, as well as other popular books in Matematica & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Series Page
  3. Title
  4. Copyright
  5. PREFACE
  6. CONTENTS
  7. CHAPTER ONE: SYMMETRIES AND GROUPS
  8. CHAPTER TWO: ISOMETRIES OF THE EUCLIDEAN PLANE
  9. CHAPTER THREE: SUBGROUPS OF THE GROUP OF ISOMETRIES OF THE PLANE
  10. CHAPTER FOUR: DISCONTINUOUS GROUPS OF ISOMETRIES OF THE EUCLIDEAN PLANE: PLANE CRYSTALLOGRAPHIC GROUPS
  11. CHAPTER FIVE: REGULAR TESSELLATIONS IN HIGHER DIMENSIONS
  12. CHAPTER SIX: INCIDENCE GEOMETRY OF THE AFFINE PLANE
  13. CHAPTER SEVEN: PROJECTIVE GEOMETRY
  14. CHAPTER EIGHT: INVERSIVE GEOMETRY
  15. CHAPTER NINE: HYPERBOLIC GEOMETRY
  16. CHAPTER TEN: FUCHSIAN GROUPS
  17. REFERENCES
  18. INDEX