Item description for Riemannian Geometry and Geometric Analysis (Universitext) by Jürgen Jost...
This established reference work continues to lead its readers to some of the hottest topics of contemporary mathematical research. Besides several smaller additions, reorganizations, corrections, and a systematic bibliography, the main new features of the 4th edition are a systematic introduction to Khler geometry and the presentation of additional techniques from geometric analysis.
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." Math. Reviews
Promise Angels is dedicated to bringing you great books at great prices. Whether you read for entertainment, to learn, or for literacy - you will find what you want at promiseangels.com!
Est. Packaging Dimensions: Length: 9.21" Width: 6.14" Height: 1.26" Weight: 1.94 lbs.
Release Date Sep 12, 2005
ISBN 3540259074 ISBN13 9783540259077
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.