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Riemannian Geometry and Geometric Analysis

Jürgen Jost

Sprache

Englisch

Buch Broschur

Libristo-Code: 16380858

Verlag Springer International Publishing AG, Oktober 2017

This established reference work continues to provide its readers with a gateway to some of the most... Vollständige Beschreibung

Libristo-Code: 16380858

217 b

88.59 € inkl. MwSt.

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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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Informationen zum Buch

Vollständiger Name Riemannian Geometry and Geometric Analysis

Autor Jürgen Jost

Sprache

Englisch

Einband Buch - Broschur

Datum der Veröffentlichung 2017

Anzahl der Seiten 697

EAN 9783319618593

ISBN 3319618598

Libristo-Code 16380858

Verlag Springer International Publishing AG

Gewicht 1042

Abmessungen 234 x 154 x 44

Kategorie

Mathematik und Naturwissenschaften > Mathematik > Geometrie > Differentielle und Riemannsche Geometrie

Mathematik und Naturwissenschaften > Physik > Mathematische Physik

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