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An introduction to differential manifolds

Author: J Lafontaine; Eric Bahuaud
Publisher: Cham : Springer, 2015.
Series: Grenoble sciences.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J Lafontaine; Eric Bahuaud
ISBN: 9783319207353 3319207350 3319207342 9783319207346
OCLC Number: 915767469
Notes: "Based on a translation from the French language edition 'Introduction aux variétés différentielles' (2ème édition) by Jacques Lafontaine."
Description: 1 online resource (xix, 395 pages) : illustrations.
Contents: Differential Calculus --
Manifolds: The Basics --
From Local to Global --
Lie Groups --
Differential Forms --
Integration and Applications --
Cohomology and Degree Theory --
Euler-Poincaré and Gauss-Bonnet.
Series Title: Grenoble sciences.
Other Titles: Introduction aux variétés différentielles.
Responsibility: Jacques Lafontaine.

Abstract:

The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology,  Read more...

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"The book gives a detailed introduction to the world of differentiable manifolds and is of possible interested to everybody who wants to acquire a basic knowledge of differential geometry. ... Each Read more...

 
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