By Jürgen Jost
ISBN-10: 3642212972
ISBN-13: 9783642212970
This proven reference paintings maintains to steer its readers to a couple of the most well liked themes of up to date mathematical learn. the former variation already brought and defined the information of the parabolic tools that had chanced on a magnificent luck within the paintings of Perelman on the examples of closed geodesics and harmonic types. It additionally mentioned extra examples of geometric variational difficulties from quantum box idea, one other resource of profound new principles and techniques in geometry.
The 6th variation features a systematic therapy of eigenvalues of Riemannian manifolds and a number of other additions. additionally, the total fabric has been reorganized with a purpose to enhance the coherence of the book.
From the reviews:
"This publication presents a truly readable advent to Riemannian geometry and geometric research. ... With the titanic improvement of the mathematical topic of geometric research, the current textbook is so much welcome." Mathematical Reviews
"...the fabric ... is self-contained. each one bankruptcy ends with a collection of routines. lots of the paragraphs have a bit ‘Perspectives’, written with the purpose to put the cloth in a broader context and clarify additional effects and directions." Zentralblatt MATH
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Riemannian Geometry and Geometric Analysis (Universitext) by Jürgen Jost
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