Riemannian Geometry and Geometric Analysis (Universitext) |
| Author: Juergen Jost
Publisher: Springer
Category: Book
List Price: $69.95
Buy New: $56.33
You Save: $13.62 (19%)
New (10) Used (5) from $54.10
Avg. Customer Rating:  2 reviews
Sales Rank: 740454
Media: Paperback
Edition: 5th ed.
Number Of Items: 1
Pages: 588
Shipping Weight (lbs): 1.9
Dimensions (in): 9.2 x 6.1 x 0.8
ISBN: 3540773401
Dewey Decimal Number: 516
EAN: 9783540773405
ASIN: 3540773401
Publication Date: April 28, 2008
Availability: Usually ships in 1-2 business days
Condition: BRAND NEW
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Editorial Reviews:
Product Description
This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research.This new edition introduces and explains the ideas of the parabolic methods that have recently found such a spectacular success in the work of Perelman at the examples of closed geodesics and harmonic forms. It also discusses further examples of geometric variational problems from quantum field theory, another source of profound new ideas and methods in geometry. From the reviews "This book provides a very readable introduction to Riemannian geometry and geometric analysis. The author focuses on using analytic methods in the study of some fundamental theorems in Riemannian geometry, e.g., the Hodge theorem, the Rauch comparison theorem, the Lyusternik and Fet theorem and the existence of harmonic mappings. With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome. [..] The book is made more interesting by the perspectives in various sections." Mathematical Reviews
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Customer Reviews:
 maths background for General Relativity and QFT January 11, 2007
5 out of 7 found this review helpful
For theoretical physicists, especially those studying Einstein's Theory of General Relativity, Or if your subject is quantum field theory. Jost's book is good preparation. He offers an in-depth teaching of Riemannian geometry. So ideas like covariant and contravariant derivatives on a manifold take on elegant meaning.
Note that General Relativity does not get an explicit mention. However, a typical physics GR course might often not have time to give a good discussion of the underlying maths. And standard GR texts, like Misner, Thorne and Wheeler or Weinberg, also tend to have very abbreviated explanations of the maths. So Jost's book is useful for those of you inclined to look further.
The length of the book means it's probably too long for a standard 1 term or semester course, if the intent is to entirely cover the book.
 Intro to Riemannian Geom. and Geom. Analysis July 2, 1999
6 out of 27 found this review helpful
Covers standard material on Reimannian Geometry. In addition: variational problems from QFT. Spin geometry and Dirac operators are explained in detail.
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