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Riemannian Geometry and Geometric Analysis (Universitext) [Paperback]

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Item description for Riemannian Geometry and Geometric Analysis (Universitext) by Jurgen Jost...

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. It is a good introduction to Riemannian geometry. The book is made more interesting by the perspectives in various sections. where the author mentions the history and development of the material and provides the reader with references." Math. Reviews. The 2nd ed. includes new material on Ginzburg-Landau, Seibert-Witten functionals, spin geometry, Dirac operators.

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Item Specifications...

Pages   455
Est. Packaging Dimensions:   Length: 9.29" Width: 6.16" Height: 1.13"
Weight:   1.55 lbs.
Binding  Softcover
Publisher   Springer
ISBN  3540636544  
ISBN13  9783540636540  

Availability  0 units.

More About Jurgen Jost

Register your artisan biography and upload your photo! Jost-Max-Planck-Institute for Mathematics, Leipzig, Germany

Jurgen Jost was born in 1956.

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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Analytic Geometry
2Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Differential Geometry
3Books > Subjects > Science > General
4Books > Subjects > Science > Mathematics > General
5Books > Subjects > Science > Mathematics > Geometry & Topology > Analytic Geometry
6Books > Subjects > Science > Mathematics > Geometry & Topology > Differential Geometry
7Books > Subjects > Science > Mathematics > Geometry & Topology > General Geometry

Reviews - What do customers think about Riemannian Geometry and Geometric Analysis (Universitext)?

maths background for General Relativity and QFT  Jan 11, 2007
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  Jul 2, 1999
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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