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.
General
Imprint: |
Springer London
|
Country of origin: |
United Kingdom |
Series: |
Springer Undergraduate Mathematics Series |
Release date: |
December 2002 |
First published: |
2002 |
Authors: |
D. L. Johnson
|
Dimensions: |
235 x 155 x 11mm (L x W x T) |
Format: |
Paperback
|
Pages: |
198 |
Edition: |
1st ed. 2001. Corr. 2nd printing 2002 |
ISBN-13: |
978-1-85233-270-9 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
LSN: |
1-85233-270-0 |
Barcode: |
9781852332709 |
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