Differential Geometry: Bundles, Connections, Metrics and Curvature
Author:   Clifford Henry Taubes (William Petschek Professor of Mathematics, Harvard University)
Publisher:   Oxford University Press
Volume:   23
ISBN:  

9780199605880


Pages:   312
Publication Date:   13 October 2011
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Differential Geometry: Bundles, Connections, Metrics and Curvature


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Full Product Details

Author:   Clifford Henry Taubes (William Petschek Professor of Mathematics, Harvard University)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Volume:   23
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.20cm
Weight:   0.590kg
ISBN:  

9780199605880


ISBN 10:   0199605882
Pages:   312
Publication Date:   13 October 2011
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1: Smooth manifolds 2: Matrices and Lie groups 3: Introduction to vector bundles 4: Algebra of vector bundles 5: Maps and vector bundles 6: Vector bundles with fiber C]n 7: Metrics on vector bundles 8: Geodesics 9: Properties of geodesics 10: Principal bundles 11: Covariant derivatives and connections 12: Covariant derivatives, connections and curvature 13: Flat connections and holonomy 14: Curvature polynomials and characteristic classes 15: Covariant derivatives and metrics 16: The Riemann curvature tensor 17: Complex manifolds 18: Holomorphic submanifolds, holomorphic sections and curvature 19: The Hodge star Indexed list of propositions by subject Index

Reviews

Taube's proofs are wonderful, complete and elegant... He is clear and concise, and indeed presents all the material beautifully and in a self contained manner, to the degree possible. ... He amplifies everything with generous allusions to other sources so that the reader is easily able to follow up on certain themes with considerable ease. --MAA Reviews


"""Taube's proofs are wonderful, complete and elegant... He is clear and concise, and indeed presents all the material beautifully and in a self contained manner, to the degree possible. ... He amplifies everything with generous allusions to other sources so that the reader is easily able to follow up on certain themes with considerable ease."" --MAA Reviews"


Taube's proofs are wonderful, complete and elegant... He is clear and concise, and indeed presents all the material beautifully and in a self contained manner, to the degree possible. ... He amplifies everything with generous allusions to other sources so that the reader is easily able to follow up on certain themes with considerable ease. --MAA Reviews


Author Information

Clifford Henry Taubes is the William Petschek Professor of Mathematics at Harvard University. He is a member of the National Academy of Sciences and also the American Academy of Sciences. He was awarded the American Mathematical Society's Oswald Veblen Prize in 1991 for his work in differential geometry and topology. He was also the recipient of the French Academy of Sciences Elie Cartan Prize in 1993, the Clay Research Award in 2008, the National Academy of Sciences' Mathematics Award in 2008, and the Shaw Prize in Mathematics in 2009.

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