Geometry And Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


Geometry And Topology

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Reid, Miles/ Szendroi, Balazs 作者
Cambridge Univ Pr
譯者
2005-11 出版日期
214 頁數
$ 119.78 價格
HRD
叢書系列
9780521848893 圖書編碼

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Geometry And Topology 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Geometry And Topology 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Geometry And Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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Geometry And Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Geometry And Topology 在線電子書 圖書描述

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 Mobius 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.

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