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Springer Undergraduate Mathematics Series: Symmetries (Softcover)

Springer Undergraduate Mathematics Series: Symmetries (Softcover)

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LIKE NEW: This book is in excellent condition, like-new condition.

Product Details

From the back cover: "Key features include:

  • An overview of the preliminaries from group theory and geometry
  • Coverage of the discrete subgroups of the Euclidean group
  • A clear and complete derivation and classification of the 17 plane crystallographic groups
  • Tessellations of various spaces (they are constructed, described and classified)
  • A brief introduction to hyperbolic geometry.


"Each chapter contains a number of exercises, most with solutions, and suggestions for background, alternative and further reading. The author's accessible and down-to-earth approach makes this an ideal introduction for readers in the second or third year of a mathematics undergraduate course. It is also recommended for mechanical engineers, architects, physicists and crystallographers needing an understanding of 3-dimensional geometry, symmetry and trigonometry."

BRIEF CONTENTS

  • 1. Metric Spaces and Their Groups
  • 2. Isometries of the Plane
  • 3. Some Basic Group Theory
  • 4. Products of Reflection
  • 5. Generators and Relations
  • 6. Discrete Subgroups of the Euclidean Group
  • 7. Plane Crystallographic Groups: OP Case
  • 8. Plan Crystallographic Groups: OR Case
  • 9. Tessellations of the Plane
  • 10. Tessellations of the Sphere
  • 11. Triangle Groups
  • 12. Regular Polytopes
  • Solutions
  • Guide to the Literature
  • Bibliography
  • Index of Notations
  • Index
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AUTHOR: Johnson;D.L.
PUBLISHER: Springer-Verlag
ISBN-13: 9781852332709
ISBN-10: 1852332700
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