Groups and Geometry
This book, which was originally published in 1985 and has been translated and revised by the author from notes of a course, is an introduction to certain central ideas in group theory and geometry. Professor Lyndon emphasises and exploits the well-known connections between the two subjects and, whilst keeping the presentation at a level that assumes only a basic background in mathematics, leads the reader to the frontiers of current research at the time of publication. The treatment is concrete and combinatorial with a minimal use of analytic geometry. In the interest of the reader's intuition, most of the geometry considered is two-dimensional and there is an emphasis on examples, both in the text and in the problems at the end of each chapter.
Product details
March 1985Paperback
9780521316941
230 pages
228 × 152 × 14 mm
0.348kg
Available
Table of Contents
- 1. Symmetries and groups
- 2. Isometries of the Euclidian Plane
- 3. Subgroups of the groups of isometries of the plane
- 4. Discontinuous groups of isometries of the Euclidean plane: plane crystallographic groups
- 5. Regular tesselations in higher dimensions
- 6. Incidence geometry of the affine plane
- 7. Projective geometry
- 8. Inversive geometry
- 9. Hyperbolic geometry
- 10. Fuscian groups
- References
- Index.