Curved Spaces (Paperback)
 
作者: P M H Wilson 
分類: Calculus & mathematical analysis ,
Differential & Riemannian geometry  
書城編號: 386897


售價: $546.00

購買後立即進貨, 約需 18-25 天

 
 
出版社: Cambridge University Press
出版日期: 2007/12/13
尺寸: 244x172x14mm
重量: 358 grams
ISBN: 9780521713900

商品簡介
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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