Geometry is central to many branches of mathematics and physics, and offers a whole range of views on the universe. This is an introduction to the ideas and includes generous helpings of simple explanations and examples. Prerequisites are minimal, so it is ideally suited to beginning courses in, and newcomers to, the subject. It lays special emphasis on coordinate systems and the coordinate changes that generate symmetries. The discussion progresses from Euclidean to nonEuclidean geometries (including spherical and hyperbolic geometry), through the grouptheoretic approach to symmetries to topological ideas, such as the Mobius strip, the Klein bottle and surfaces with handles. The geometry of transformation groups emerges, and is applied to relativity theory and quantum mechanics. The book is based in many years teaching experience so is thoroughly classtested. There are plenty of illustrations chapters end with a collection of exercises, solutions to which are available for teachers.
About Miles Reid
Miles Reid is a Professor of Mathematics at the Mathematics Institute, University of Warwick. Bal...zs Szendroi is a Tutor and Martin Powell Fellow in Pure Mathematics at St Peter's College, and a Faculty Lecturer in the Mathematical Institute, University of Oxford.Details Book
Author  :  Miles Reid 
Publisher  :  Cambridge University Press 
Data Published  :  10 November 2005 
ISBN  :  0521613256 
EAN  :  9780521613255 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  216 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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