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## Details

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, degree theory and the Gauss-Bonnet theorem for surfaces.Its ambition is to give solid foundations.
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## Reviews

*Editorial reviews*

Publisher Synopsis

"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 chapter concludes with a list of exercises, solutions are given in the appendix." (Volker Branding, zbMATH 1338.58001, 2016) Read more...

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