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Transformation Geometry: An Introduction to Symmetry (Graduate Texts in Mathematics)

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Transformation Geometry: An Introduction to Symmetry (Graduate Texts in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

Transformation Geometry: An Introduction to Symmetry offers 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.

Table of Contents

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.

Product Details

ISBN:
9780387906362
Author:
Martin, George
Publisher:
Springer
Author:
Martin, George E.
Author:
Martin, George Edward
Location:
New York :
Subject:
Geometry - General
Subject:
Geometry
Subject:
Transformations
Subject:
Symmetry
Subject:
Transformations (mathematics)
Subject:
Martin
Subject:
Abbildungsgeometrie
Subject:
Mathematics-Geometry and Trigonometry
Copyright:
Edition Number:
1
Edition Description:
1982. Corr. 4th
Series:
Undergraduate texts in mathematics
Series Volume:
9185
Publication Date:
December 1996
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
268
Dimensions:
235 x 155 mm 1190 gr

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Related Subjects

Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Topology
Science and Mathematics » Physics » General

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Product details 268 pages Springer-Verlag - English 9780387906362 Reviews:
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