ENGLISH

Symmetries

Book information

Publisher
Springer
Year
2001
ISBN
1852332700, 9781852332709
Google Books ID
WhNofg6TZqIC
Language
english
Format
PDF
Filesize
5 MB (5369177 bytes)
Series
Springer Undergraduate Mathematics Series
Edition
Corrected
Pages
209\209
Scanned
yes
Time added
2011-06-04 13:46:07

Description

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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