Geometry and Topology

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Miles Reid (University of Warwick) Balazs Szendroi (Universiteit Utrecht, The Netherlands)

Geometry and Topology

Miles Reid (University of Warwick), Balazs Szendroi (Universiteit Utrecht, The Netherlands)

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English

Cambridge University Press
24 January 2006

Mathematics & Sciences; Geometry; Topology

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 non-Euclidean geometries (including spherical and hyperbolic geometry), through the group-theoretic 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 class-tested. There are plenty of illustrations; chapters end with a collection of exercises, solutions to which are available for teachers.

By: Miles Reid (University of Warwick), Balazs Szendroi (Universiteit Utrecht, The Netherlands)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 244mm, Width: 170mm, Spine: 12mm
Weight: 443g
ISBN: 9780521613255
ISBN 10: 0521613256
Pages: 214
Publication Date: 24 January 2006
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Active

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.