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Geometry and Topology
Miles Reid
€ 67.23
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Description for Geometry and Topology
Paperback. An introduction to the ideas of geometry and includes generous helpings of simple explanations and examples. Num Pages: 216 pages, 93 b/w illus. 156 exercises. BIC Classification: PBM; PBP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 246 x 176 x 11. Weight in Grams: 380.
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 Moebius 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.
Product Details
Publisher
Cambridge University Press United Kingdom
Number of pages
214
Format
Paperback
Publication date
2005
Condition
New
Number of Pages
216
Place of Publication
Cambridge, United Kingdom
ISBN
9780521613255
SKU
V9780521613255
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-3
About Miles Reid
Miles Reid is a Professor of Mathematics at the Mathematics Institute, University of Warwick. Balazs Szendroei 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.
Reviews for Geometry and Topology
A welcome addition to the undergraduate library. Highly recommended.
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