Transformation Geometry An Introduction to Symmetry

ISBN-10: 0387906363

ISBN-13: 9780387906362

Edition: 1982

Authors: George E. Martin
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Description: 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 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.

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Book details

List price: $74.95
Copyright year: 1982
Publisher: Springer
Publication date: 12/20/1996
Binding: Hardcover
Pages: 240
Size: 6.25" wide x 9.75" long x 0.75" tall
Weight: 1.144
Language: English

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
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