Curved Spaces

Name: Curved Spaces
Brand: Cambridge University Press
SKU: 9780521886291
Price: 512.6 PLN
Availability: InStock

From Classical Geometries to Elementary Differential Geometry

Autor: P. M. H. Wilson

Język:

Oprawa: Twarda

Wydawca: Cambridge University Press

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-18 dni

512.60 zł

This self-contained 2007 textbook presents an exposition of the well-known classical two-dimensional...

Informacje o książce

Autor

P. M. H. Wilson

Język

Angielski

Oprawa

Książka - Twarda

Data wydania

2007

strony

198

EAN

9780521886291

ISBN

0521886295

Enbook ID

02049114

Wydawca

Cambridge University Press

Waga

562

Wymiary

170 x 244 x 13

Pełny opis

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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Curved Spaces

From Classical Geometries to Elementary Differential Geometry

Informacje o książce

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