All Shops

Go to British Wildlife

6 issues per year 84 pages per issue Subscription only

British Wildlife is the leading natural history magazine in the UK, providing essential reading for both enthusiast and professional naturalists and wildlife conservationists. Published six times a year, British Wildlife bridges the gap between popular writing and scientific literature through a combination of long-form articles, regular columns and reports, book reviews and letters.

Subscriptions from £25 per year

Conservation Land Management

4 issues per year 44 pages per issue Subscription only

Conservation Land Management (CLM) is a quarterly magazine that is widely regarded as essential reading for all who are involved in land management for nature conservation, across the British Isles. CLM includes long-form articles, events listings, publication reviews, new product information and updates, reports of conferences and letters.

Subscriptions from £18 per year
Academic & Professional Books  Reference  Physical Sciences  Mathematics

Differential Geometry Bundles, Connections, Metrics and Curvature

By: Clifford Henry Taubes(Author)
298 pages, 2 b/w illustrations
Differential Geometry
Click to have a closer look
Select version
  • Differential Geometry ISBN: 9780199605873 Paperback Oct 2011 Usually dispatched within 5 days
    £31.99
    #202499
  • Differential Geometry ISBN: 9780199605880 Hardback Oct 2011 Usually dispatched within 5 days
    £72.99
    #202500
Selected version: £31.99
About this book Contents Customer reviews Biography Related titles

About this book

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics. Differential Geometry: Bundles, Connections, Metrics and Curvature 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.

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

Customer Reviews

Biography

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.

By: Clifford Henry Taubes(Author)
298 pages, 2 b/w illustrations
Current promotions
Best of Winter 2018Harper CollinsOrder your free copy of our 2018 equipment catalogueBritish Wildlife