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Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Introduction to differential manifolds / (Record no. 420701)

MARC details
000 -LEADER
fixed length control field 01855 a2200253 4500
001 - CONTROL NUMBER
control field 136923
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160603123242.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 160603b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783319207346
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
Language of cataloging eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.36
Edition number 23
Item number L166
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Lafontaine, Jacques,
Relator term author
245 10 - TITLE STATEMENT
Title Introduction to differential manifolds /
Statement of responsibility, etc Jacques Lafontaine.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Cham :
Name of publisher, distributor, etc Springer,
Date of publication, distribution, etc 2015.
300 ## - PHYSICAL DESCRIPTION
Extent xix, 395 p. ;
Other physical details illustrations.
490 0# - SERIES STATEMENT
Series statement Grenoble sciences
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. Differential Calculus --<br/>2. Manifolds: The Basics --<br/>3. From Local to Global --<br/>4. Lie Groups --<br/>5. Differential Forms --<br/>6. Integration and Applications --<br/>7. Cohomology and Degree Theory --<br/>8. Euler-Poincaré and Gauss-Bonnet --<br/>Appendix --<br/>Bibliography --<br/>Index.
520 ## - SUMMARY, ETC.
Summary, etc This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces. Its ambition is to give solid foundations. The book should be of interest to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differentiable manifolds.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential Geometry.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Books
Holdings
Lost status Not for loan Home library Current library Date acquired Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 31/03/2016 4054.18 515.36 L166 136923 Books
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Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in