Groups and Geometry

by Roger C. Lyndon

Overview

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

ISBN-13:	9780521316941
Publisher:	Cambridge University Press
Publication date:	03/14/1985
Series:	London Mathematical Society Lecture Note Series , #101
Edition description:	New Edition
Pages:	230
Product dimensions:	5.98(w) x 8.98(h) x 0.55(d)

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.