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Riemannian Geometry and Geometric Analysis | 
| Authors: Jost, Jurgen Jost
Publisher: Springer
Category: Book
List Price: $62.95
Buy New: $40.00
You Save: $22.95 (36%)
New (1) Used (1) from $40.00
Avg. Customer Rating:  2 reviews
Sales Rank: 1804991
Media: Paperback
Edition: 03
Number Of Items: 1
Pages: 545
Shipping Weight (lbs): 1.9
Dimensions (in): 9 x 6.6 x 1.2
ISBN: 3540426272
Dewey Decimal Number: 516.373
EAN: 9783540426271
ASIN: 3540426272
Publication Date: December 6, 2001
Availability: Usually ships in 1-2 business days
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Product Description
The second edition featured a new chapter with a systematic development of variational problems from quantum field theory, in particular the Seiberg-Witten and Ginzburg-Landau functionals. This third edition gives a new presentation of Morse theory and Floer homology that emphasises the geometric aspects and integrates it into the context of Riemannian geometry and geometric analysis. It also gives a new presentation of the geometric aspects of harmonic maps: This uses geometric methods from the theory of geometric spaces of nonpositive curvature and, at the same time, sheds light on these, as an excellent example of the integration of deep geometric insights and powerful analytical tools. These new materials are based on a course at the University of Leipzig, entitled Geometry and Physics, attended by graduate students, postdocs and researchers from other areas of mathematics. Much of this material appears for the first time in a textbook.
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| Customer Reviews:
 maths background for General Relativity and QFT January 11, 2007
6 out of 8 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
5 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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