Differential Geometry: Bundles, Connections, Metrics and Curvature

— —

Clifford Henry Taubes (William Petschek Professor of Mathematics, Harvard University)

Differential Geometry

Bundles, Connections, Metrics and Curvature

Clifford Henry Taubes (William Petschek Professor of Mathematics, Harvard University)

$74.95

Paperback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Oxford University Press
18 October 2011

Mathematics & Sciences; Differential & Riemannian geometry; Algebraic topology; Particle & high-energy physics; Mathematical physics

Series: Oxford Graduate Texts in Mathematics

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. This book will supply a graduate student in mathematics or theoretical physics with the fundamentals of these objects. Many of the tools used in differential topology are introduced and the basic results about differentiable manifolds, smooth maps, differential forms, vector fields, Lie groups, and Grassmanians are all presented here. Other material covered includes the basic theorems about geodesics and Jacobi fields, the classification theorem for flat connections, the definition of characteristic classes, and also an introduction to complex and Kähler geometry.

Differential Geometry uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life. Helpfully, proofs are offered for almost all assertions throughout. All of the introductory material is presented in full and this is the only such source with the classical examples presented in detail.

By: Clifford Henry Taubes (William Petschek Professor of Mathematics Harvard University)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Volume: 23
Dimensions: Height: 228mm, Width: 156mm, Spine: 27mm
Weight: 483g
ISBN: 9780199605873
ISBN 10: 0199605874
Series: Oxford Graduate Texts in Mathematics
Pages: 304
Publication Date: 18 October 2011
Audience: College/higher education , Professional and scholarly , Further / Higher Education , Undergraduate
Format: Paperback
Publisher's Status: Active

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 for Differential Geometry: Bundles, Connections, Metrics and Curvature

"""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"