Symmetries /
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 c...
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| Format: | eBook |
| Language: | English |
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London :
Springer London,
2001.
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| Series: | Springer undergraduate mathematics series.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (xi, 216 pages 60 illustrations) |
| ISBN: | 9781447102434 (electronic bk.) 1447102436 (electronic bk.) |
| ISSN: | 1615-2085 |