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Riemannian Geometry and Geometric Analysis
Language
English
English
Book
Paperback
This established reference work continues to provide its readers with a gateway to some of the most...
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Libristo code: 16380858
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This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry. It offers insight into a wide range of topics, including fundamental concepts of Riemannian geometry, such as geodesics, connections and curvature; the basic models and tools of geometric analysis, such as harmonic functions, forms, mappings, eigenvalues, the Dirac operator and the heat flow method; as well as the most important variational principles of theoretical physics, such as Yang-Mills, Ginzburg-Landau or the nonlinear sigma model of quantum field theory. The present volume connects all these topics in a systematic geometric framework. At the same time, it equips the reader with the working tools of the field and enables her or him to delve into geometric research.
The 7th edition has been systematically reorganized and updated. Almost no page has been left unchanged. It also includes new material, for instance on symplectic geometry, as well as the Bishop-Gromov volume growth theorem which elucidates the geometric role of Ricci curvature.
From the reviews:
"This book provides a very readable introduction to Riemannian geometry and geometric analysis... With the vast development of the mathematical subject of geometric analysis, the present textbook is most welcome." Mathematical Reviews
"For readers familiar with the basics of differential geometry and some acquaintance with modern analysis, the book is reasonably self-contained. The book succeeds very well in laying out the foundations of modern Riemannian geometry and geometric analysis. It introduces a number of key techniques and provides a representative overview of the field." Monatshefte für Mathematik
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About the book
Full name
Riemannian Geometry and Geometric Analysis
Author
Jürgen Jost
Language
English
English
Binding
Book - Paperback
Date of issue
2017
Number of pages
697
EAN
9783319618593
ISBN
3319618598
Libristo code
16380858
Publishers
Springer International Publishing AG
Weight
1042
Dimensions
234 x 154 x 44
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