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Atiyah-Singer index theorem : (Record no. 420158)

000 -LEADER
fixed length control field 01977nam a22002777a 4500
001 - CONTROL NUMBER
control field c26472
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20160217104036.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 160217b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789380250540
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
Language of cataloging eng
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.74
Edition number 23
Item number M953
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Mukherjee, Amiya.
245 10 - TITLE STATEMENT
Title Atiyah-Singer index theorem :
Remainder of title an introduction /
Statement of responsibility, etc Amiya Mukherjee.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc New Delhi :
Name of publisher, distributor, etc Hindustan Book Agency,
Date of publication, distribution, etc c2013.
300 ## - PHYSICAL DESCRIPTION
Extent xii, 267 p. ;
Dimensions 25 cm.
490 0# - SERIES STATEMENT
Series statement Texts and readings in mathematics ;
Volume number/sequential designation 69.
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 1. K-theory --<br/>2. Fredholm operators and Atiyah-Jänich theorem --<br/>3. Bott periodicity and Thom isomorphism --<br/>4. Pseudo-differential operators --<br/>5. Characteristic classes and Chern-Weil construction --<br/>6. Spin structure and Dirac operator --<br/>7. Equivariant k-theory --<br/>8. The index theorem --<br/>9. Cohomological formulation of the index theorem --<br/>Bibliography --<br/>Index.
520 ## - SUMMARY, ETC.
Summary, etc This monograph is a thorough introduction to the Atiyah-Singer index theorem for elliptic operators on compact manifolds without boundary. The main theme is only the classical index theorem and some of its applications, but not the subsequent developments and simplifications of the theory. The book is designed for a complete proof of the K -theoretic index theorem and its representation in terms of cohomological characteristic classes. In an effort to make the demands on the reader's knowledge of background materials as modest as possible, the author supplies the proofs of almost every result. The applications include Hirzebruch signature theorem, Riemann-Roch-Hirzebruch theorem, and the Atiyah-Segal-Singer fixed point theorem, etc.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Atiyah-Singer index theorem.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Elliptic operators.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Manifolds (Mathematics)
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Lost status Not for loan Permanent Location Current Location Date acquired Full call number Accession Number Koha item type Original Price
    ISI Library, Kolkata ISI Library, Kolkata 2015-09-04 514.74 M953 C26472 Books Price not found
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in


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