Geometry provides a whole range of views on the universe, serving as the inspiration, technical toolkit and ultimate goal for many branches of mathematics and physics. This book introduces the ideas of geometry, and includes a generous supply of simple explanations and examples. The treatment emphasises coordinate systems and the coordinate changes that generate symmetries. The discussion moves from Euclidean to non-Euclidean geometries, including spherical and hyperbolic geometry, and then on to affine and projective linear geometries. Group theory is introduced to treat geometric symmetries, leading to the unification of geometry and group theory in the Erlangen program. An introduction to basic topology follows, with the M

Author: Reid, Miles
Author: Szendroi, Balazs
Publisher: Cambridge University Press
Illustration: Y
Language: ENG
Title: Geometry and Topology
Pages: 00240 (Encrypted PDF)
On Sale: 2005-11-30
SKU-13/ISBN: 9780521848893
Category: Mathematics : Geometry - General
Category: Mathematics : Topology - General