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Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry

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Curved Spaces - From Classical Geometries to Elementary Differential Geometry (Hardcover, New) Loot Price: R2,773
Discovery Miles 27 730
You Save: R847 (23%)
Curved Spaces - From Classical Geometries to Elementary Differential Geometry (Hardcover, New): P.M.H. Wilson

Curved Spaces - From Classical Geometries to Elementary Differential Geometry (Hardcover, New)

P.M.H. Wilson

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Was R3,620 Loot Price R2,773 Discovery Miles 27 730 | Repayment Terms: R260 pm x 12* You Save R847 (23%)

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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.

General

Imprint: Cambridge UniversityPress
Country of origin: United Kingdom
Release date: December 2007
First published: 2008
Authors: P.M.H. Wilson
Dimensions: 244 x 170 x 13mm (L x W x T)
Format: Hardcover
Pages: 198
Edition: New
ISBN-13: 978-0-521-88629-1
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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LSN: 0-521-88629-5
Barcode: 9780521886291

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