Manifolds and Differential Geometry

Manifolds and Differential Geometry
Author: Jeffrey Marc Lee
Publisher: American Mathematical Soc.
Total Pages: 690
Release: 2009
Genre: Mathematics
ISBN: 0821848151


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Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and structures of modern differential geometry. It includes the topics usually found in a course on differentiable manifolds, such as vector bundles, tensors, and de Rham cohomology.


Manifolds and Differential Geometry
Language: en
Pages: 690
Authors: Jeffrey Marc Lee
Categories: Mathematics
Type: BOOK - Published: 2009 - Publisher: American Mathematical Soc.

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Differential geometry began as the study of curves and surfaces using the methods of calculus. This book offers a graduate-level introduction to the tools and s
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: 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
Differential Manifolds
Language: en
Pages: 290
Authors: Antoni A. Kosinski
Categories: Mathematics
Type: BOOK - Published: 2013-07-02 - Publisher: Courier Corporation

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Introductory text for advanced undergraduates and graduate students presents systematic study of the topological structure of smooth manifolds, starting with el
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,