Books : The Laplacian on a Riemannian Manifold: An Introduction to Analysis on Manifolds (London Mathematical Society Student Texts)
In association with Amazon.com
Regular marked price: $43.00Discount Price: $34.19
Cost Savings: $8.81 (20%)Price fluctuation possible.
How soon does it ship: Normal ship time within one day
Shipping? Absolutely FREE if you qualify for Super Saver Shipping.
Type of bind: Paperback
Dewey Decimal Number: 516.373
EAN num: 9780521468312
ISBN number: 0521468310
Label: Cambridge University Press
Manufacturer: Cambridge University Press
Quantity: 1
Page Count: 188
Printing Date: January 28, 1997
Publishing house: Cambridge University Press
Sale Popularity Level: 346676
Studio: Cambridge University Press
Other books you might be interested in perusing:
Editor's Notes and Comments:
Product Description:
This text on analysis on 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 author develops the Atiyah-Singer index theorem and its applications (without complete proofs) via the heat equation method. Rosenberg also treats zeta functions for Laplacians and analytic torsion, and lays out the recently uncovered relation between index theory and analytic torsion. The text is aimed at students who have had a very first course in differentiable manifolds, and the author develops the Riemannian geometry used from the beginning. There are over 100 exercises with hints.
User popularity level:
Rated by buyers 
-
Steve Rosenberg's writing style is fascinating. I was up until 3 in the morning finishing this book.
Rated by buyers -
A real page turner! It was unbelievable how all the pieces fit together at the end. Rosenberg is a genius.
Rated by buyers 
-
Although a good introduction is given certains ideas are not really worked out in detail (proofs,...) the level may be put a little bit higher
Find other books like this one:
