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Groups and Geometry : London Mathematical Society Lecture Note Series - Roger C. Lyndon

Groups and Geometry

London Mathematical Society Lecture Note Series

Paperback

Published: 13th May 1985
RRP $56.95
$52.40
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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.

Symmetries and groups
Isometries of the Euclidian Plane
Subgroups of the groups of isometries of the plane
Discontinuous groups of isometries of the Euclidean plane: plane crystallographic groups
Regular tesselations in higher dimensions
Incidence geometry of the affine plane
Projective geometry
Inversive geometry
Hyperbolic geometry
Fuscian groups
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521316941
ISBN-10: 0521316944
Series: London Mathematical Society Lecture Note Series
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 230
Published: 13th May 1985
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.9 x 15.2  x 1.3
Weight (kg): 0.34