| Title | : | The Beauty of Geometry: Twelve Essays (Dover Books on Mathematics) |
| Author | : | |
| Rating | : | 4.64 (749 Votes) |
| Asin | : | 0486409198 |
| Format Type | : | Paperback |
| Number of Pages | : | 288 Pages |
| Publish Date | : | 1999-07-02 |
| Genre | : |
Written by a distinguished mathematician, the dozen absorbing essays in this versatile volume offer both supplementary classroom material and pleasurable reading for the mathematically inclined.
The essays promise to encourage readers in the further study of elementary geometry, not just for its own sake, but also for its broader applications, which receive a full and engaging treatment. Beginning with an analytic approach, the author reviews the functions of Schlafli and Lobatschefsky and discusses number theory in a dissertation on integral Cayley numbers. A detailed examination of group theory includes discussion of Wythoff's construction for uniform polytopes, as well as a chapter on regular skew polyhedra in three and four dimensions and their topological analogues. A profile of self-dual configurations and regular graphs introduces elements of graph theory, followed up with a chapter on twelve points in PG (5, 3) with 95040 self-transformations. Discussion of an upper bound f
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