Call Boomerang Books 1300 36 33 32

Get Latest Book News + FREE Shipping. Subscribe to the Boomerang Books Bulletin eNewsletter right now!

Description - The Laplacian on a Riemannian Manifold by Steven Rosenberg

This text on analysis of Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theory. The main theme is the study of heat flow associated to the Laplacians on differential forms. This provides a unified treatment of Hodge theory and the supersymmetric proof of the Chern-Gauss-Bonnet theorem. In particular, there is a careful treatment of the heat kernel for the Laplacian on functions. The Atiyah-Singer index theorem and its applications are developed (without complete proofs) via the heat equation method. Zeta functions for Laplacians and analytic torsion are also treated, and the recently uncovered relation between index theory and analytic torsion is laid out. The text is aimed at students who have had a first course in differentiable manifolds, and the Riemannian geometry used is developed from the beginning. There are over 100 exercises with hints.

Buy The Laplacian on a Riemannian Manifold by Steven Rosenberg from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780521463003
ISBN-10: 0521463009
Format: Hardback
(228mm x 152mm x 14mm)
Pages: 188
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Jan-1997
Country of Publication: United Kingdom

Other Editions - The Laplacian on a Riemannian Manifold by Steven Rosenberg

Book Reviews - The Laplacian on a Riemannian Manifold by Steven Rosenberg

» Have you read this book? We'd like to know what you think about it - write a review about Laplacian on a Riemannian Manifold book by Steven Rosenberg and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a Boomerang Books Account Holder - it's free to sign up and there are great benefits!)

Write Review


Books By Steven Rosenberg

Laplacian on a Riemannian Manifold by Steven Rosenberg
Paperback, January 1997
$84.56