Introduction To Differential Manifolds, An

Dennis Barden (Univ Of Cambridge, Uk), Charles B Thomas (Univ Of Cambridge, Uk)

$81.99

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

World Scientific
13 March 2003

Mathematics & Sciences; Differential & Riemannian geometry; Topology

An introduction to basic ideas in differential topology, based on the many years of teaching experience of both authors. Among the topics covered are smooth manifolds and maps, the structure of the tangent bundle and its associates, the calculation of real cohomology groups using differential forms (de Rham theory), and applications such as the Poincare-Hopf theorem relating the Euler number of a manifold and the index of a vector field. Each chapter contains exercises of varying difficulty for which solutions are provided. Special features include examples drawn from geometric manifolds in dimension 3 and Brieskorn varieties in dimensions 5 and 7, as well as detailed calculations for the cohomology groups of spheres and tori.

By: Dennis Barden (Univ Of Cambridge Uk), Charles B Thomas (Univ Of Cambridge, Uk)
Imprint: World Scientific
Country of Publication: United Kingdom
Dimensions: Height: 230mm, Width: 160mm, Spine: 9mm
Weight: 349g
ISBN: 9781860943553
ISBN 10: 1860943551
Pages: 232
Publication Date: 13 March 2003
Audience: College/higher education , Professional and scholarly , Professional & Vocational , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Differential Manifolds and Differentiable Maps; The Derivatives of Differentiable Maps; Fibre Bundles; Differential Forms and Integration; The Exterior Derivative; de Rham Cohomology; Degrees, Indices and Related Topics; Lie Groups; A Rapid Course in Differential Analysis; Solutions to the Exercises; Guide to the Literature.

Reviews for Introduction To Differential Manifolds, An

"""This book is an excellent introductory text into the theory of differential manifolds with a carefully thought out and tested structure and a sufficient supply of exercises and their solutions. It does not only guide the reader gently into the depths of the theory of differential manifolds but also careful on giving advice how one can place the information in the right context. It is certainly written in the best traditions of great Cambridge mathematics."" Acta Scientiarum Mathematicarum"