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Curved Spaces 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Wilson, P. M. H. 作者

譯者

2007-12 出版日期

198 頁數

$ 168.37 價格

叢書系列

9780521886291 圖書編碼

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發表於2024-09-22

Curved Spaces 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Curved Spaces 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Curved Spaces 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Curved Spaces 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Curved Spaces 在線電子書圖書描述

This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional geometries, such as Euclidean, spherical, hyperbolic, and the locally Euclidean torus, and introduces the basic concepts of Euler numbers for topological triangulations, and Riemannian metrics. The careful discussion of these classical examples provides students with an introduction to the more general theory of curved spaces developed later in the book, as represented by embedded surfaces in Euclidean 3-space, and their generalization to abstract surfaces equipped with Riemannian metrics. Themes running throughout include those of geodesic curves, polygonal approximations to triangulations, Gaussian curvature, and the link to topology provided by the Gauss-Bonnet theorem. Numerous diagrams help bring the key points to life and helpful examples and exercises are included to aid understanding. Throughout the emphasis is placed on explicit proofs, making this text ideal for any student with a basic background in analysis and algebra.

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