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Curved Spaces: From Classical Geometries to Elementary Differential Geometry free ebook download

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Mathematics

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Author(s):	no autor

Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	0521713900
Pages:	198	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	3/17/2022 10:17:28 PM

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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.
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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3104959	Book	https://nitro.download/view/9B23B5A8DDC5...		0.00	maveriks

Tags: Classical Curved Differential Elementary Geometries Geometry Spaces

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Curved Spaces: From Classical Geometries to Elementary Differential Geometry free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics