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Symmetries (Springer Undergraduate Mathematics Series)

by D.L. Johnson

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ISBN

:

9781852332709
Publisher

:

Springer
Subject

:

Mathematics
Binding

:

PAPERBACK
Pages

:

210
Year

:

2004

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~~3838.0~~

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3684.0

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The main, object of study for this book is geometry, with group theory providing an appropriate language in which to express geometrical ideas., 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 make 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.

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