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Transformation Geometry : an Introduction to Symmetry /

Transformation Geometry: An Introduction to Symmetry is a modern approach to Euclidean Geometry. This study of the automorphism groups of the plane and space gives the classical concrete examples that serve as a meaningful preparation for the standard undergraduate course in abstract algebra. The de...

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Bibliographic Details
Main Author: Martin, George E.
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer New York, 1982.
Series:Undergraduate texts in mathematics.
Subjects:
Mathematics.
Geometry.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • Properties of Transformations
  • Translations and Halfturns
  • Reflections
  • Congruence
  • The Product of Two Reflections
  • Even Isometries
  • Classification of Plane Isometries
  • Equations for Isometries
  • The Seven Frieze Groups
  • The Seventeen Wallpaper Groups
  • Tessellations
  • Similarities on the Plane
  • Classical Theorems
  • Affine Transformations
  • Transformations on Three-Space
  • Space and Symmetry
  • Hints and Answers
  • Notation Index
  • Index.