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Manifolds and Differential Geometry
Language: en
Pages: 671
Authors: Jeffrey M. Lee
Categories: Mathematics
Type: BOOK - Published: 2022-03-08 - Publisher: American Mathematical Society

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Differential geometry began as the study of curves and surfaces using the methods of calculus. In time, the notions of curve and surface were generalized along
Differential Geometry
Language: en
Pages: 394
Authors: Wolfgang Kühnel
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in I\!\!R^3 that arise in calculus. Here we learn about lin
Differential Geometry of Manifolds
Language: en
Pages: 367
Authors: Stephen Lovett
Categories: Mathematics
Type: BOOK - Published: 2019-12-16 - Publisher: CRC Press

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Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general. The book pr
Differential Geometry: Manifolds, Curves, and Surfaces
Language: en
Pages: 487
Authors: Marcel Berger
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This book consists of two parts, different in form but similar in spirit. The first, which comprises chapters 0 through 9, is a revised and somewhat enlarged ve
An Introduction to Manifolds
Language: en
Pages: 426
Authors: Loring W. Tu
Categories: Mathematics
Type: BOOK - Published: 2010-10-05 - Publisher: Springer Science & Business Media

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Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology,