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[资源] 【转贴】Geometry and Topology

By Miles Reid, Balazs Szendroi,

* Publisher: Cambridge University Press
* Number Of Pages: 214
* Publication Date: 2005-12-19
* Sales Rank: 626832
* ISBN / ASIN: 0521613256
* EAN: 9780521613255
* Binding: Paperback
* Manufacturer: Cambridge University Press
* Studio: Cambridge University Press
* Average Rating:
* Total Reviews:

Book Description:
Geometry is central to many branches of mathematics and physics, and offers a complete range of views on the universe. This introduction includes many simple explanations and examples. 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 exercises. Further teaching material is available via the web, including assignable problem sheets with solutions.

Download Description:
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

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[ Last edited by laizuliang on 2007-10-21 at 09:07 ]

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