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Transformation Geometry : An Introduction to Symmetry

Transformation Geometry : An Introduction to Symmetry - 82 edition

Transformation Geometry : An Introduction to Symmetry - 82 edition

ISBN13: 9780387906362

ISBN10: 0387906363

Transformation Geometry : An Introduction to Symmetry by G. E. Martin - ISBN 9780387906362
Edition: 82
Copyright: 1982
Publisher: Springer-Verlag New York
Published:
International: No
Transformation Geometry : An Introduction to Symmetry by G. E. Martin - ISBN 9780387906362

ISBN13: 9780387906362

ISBN10: 0387906363

Edition: 82

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Summary

Transformation Geometry: An Introduction to Symmetryis 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 detailed development of the isometries of the plane is based on only the most elementary geometry and is appropriate for graduate courses for secondary teachers.

Author Bio

Martin, George E. : State University of New York at Albany

Table of Contents

Table of Contents

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 of the Plane

Classical Theorems

Affine Transformations

Transformations on Three-space

Space and Symmetry