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OverviewGeometry 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 Möbius strip, the Klein bottle and the surface with g handles exemplifying quotient topologies and the homeomorphism problem. Topology combines with group theory to yield the geometry of transformation groups,having applications to relativity theory and quantum mechanics. A final chapter features historical discussions and indications for further reading. With minimal prerequisites, the book provides a first glimpse of many research topics in modern algebra, geometry and theoretical physics. The book is based on many years' teaching experience, and is thoroughly class-tested. There are copious illustrations, and each chapter ends with a wide supply of exercises. Further teaching material is available for teachers via the web, including assignable problem sheets with solutions. Full Product DetailsAuthor: Miles Reid (University of Warwick) , Balazs Szendroi (Universiteit Utrecht, The Netherlands)Publisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) ISBN: 9780511807510ISBN 10: 0511807511 Publication Date: 11 November 2010 Audience: College/higher education , Professional and scholarly , Tertiary & Higher Education , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviews A welcome addition to the undergraduate library. Highly recommended. --Choice A welcome addition to the undergraduate library. Highly recommended. --Choice A welcome addition to the undergraduate library. Highly recommended. --Choice Author InformationMiles Reid is a Professor of Mathematics at the Mathematics Institute, University of Warwick. Balàzs Szendröi 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. Tab Content 6Author Website:Countries AvailableAll regions |
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