Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Riemannian geometry and geometric analysis / (Record no. 424422)

MARC details
000 -LEADER
fixed length control field 03025nam a22002535i 4500
001 - CONTROL NUMBER
control field 138297
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240126020007.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 170726s2017 nyu 000 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319618593 (alk. paper)
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 516.373
Edition number 23
Item number J84
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Jost,Jurgen,
Relator term author
245 10 - TITLE STATEMENT
Title Riemannian geometry and geometric analysis /
Statement of responsibility, etc Jurgen Jost.
250 ## - EDITION STATEMENT
Edition statement 7th ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Cham :
Name of publisher, distributor, etc Springer,
Date of publication, distribution, etc 2017.
300 ## - PHYSICAL DESCRIPTION
Extent xiv, 697 pages :
Other physical details illustrations ;
Dimensions 24 cm.
490 0# - SERIES STATEMENT
Series statement Universitext
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1 Riemannian Manifolds --<br/> 2 Lie Groups and Vector Bundles --<br/> 3 The Laplace Operator and Harmonic Differential Forms --<br/> 4 Connections and Curvature --<br/> 5 Geometry of Submanifolds --<br/> 6 Geodesics and Jacobi Fields --<br/> A Short Survey on Curvature and Topology --<br/> 7 Symmetric Spaces and Kähler Manifolds --<br/>8 Morse Theory and Floer Homology --<br/>9 Harmonic Maps between Riemannian Manifolds --<br/>10 Harmonic Maps from Riemann Surfaces --<br/>11 Variational Problems from Quantum Field Theory --<br/>A Linear Elliptic Partial Differential Equations --<br/>B Fundamental Groups and Covering Spaces.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Riemannian geometry.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Koha issues (borrowed), all copies 1
Holdings
Lost status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 23/03/2018 279 5747.04 516.373 J84 138297 Books
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