An introduction to manifolds (Record no. 110)

MARC details
000 -LEADER
fixed length control field 02238nam a22002417a 4500
003 - CONTROL NUMBER IDENTIFIER
control field LSCPL
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20130906051227.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 130219t20122011ii ill.g |||| 001 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781441973993
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781441974006
040 ## - CATALOGING SOURCE
Transcribing agency NCL
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Edition number 2nd ed.
Classification number 516.07
Item number TU-I 2012 261
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Tu, Loring W.
9 (RLIN) 272
245 13 - TITLE STATEMENT
Title An introduction to manifolds
Statement of responsibility, etc. / by Loring W. Tu
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc. New Delhi :
Name of publisher, distributor, etc. Springer India Private Limited,
Date of publication, distribution, etc. 2012, 2011c.
300 ## - PHYSICAL DESCRIPTION
Extent 410 p.
Other physical details ill. ;
Dimensions 23 cm.
500 ## - GENERAL NOTE
General note Include bibliography references and index
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note A Brief Introduction.- Part I. The Euclidean Space.- Smooth Functions on R(N).- Tangent Vectors In R(N) as Derivations.- Alternating K-Linear Functions.- Differential Forms on R(N).- Part II. Manifolds.- Manifolds.- Smooth Maps on A Manifold.- Quotient.- Part III. The Tangent Space.- The Tangent Space.- Submanifolds.- Categories And Functors.- The Image of A Smooth Map.- The Tangent Bundle.- Bump Functions and Partitions of Unity.- Vector Fields.- Part IV. Lie Groups and Lie Algebras.- Lie Groups.- Lie Algebras.- Part V. Differential Forms.- Differential 1-Forms.- Differential K-Forms.- The Exterior Derivative.- Part VI. Integration.- Orientations.- Manifolds With Boundary.- Integration on A Manifold.- Part VII. De Rham Theory.- De Rham Cohomology.- The Long Exact Sequence in Cohomology.- The Mayer-Vietoris Sequence.- Homotopy Invariance.- Computation of De Rham Cohomology.- Proof of Homotopy Invariance.- Appendix A. Point-Set Topology.- Appendix B. Inverse Function Theorem of R(N) And Related Results.- Appendix C. Existence of A Partition of Unity in General.- Appendix D. Solutions to Selected Exercises.- Bibliography.- Index.
520 ## - SUMMARY, ETC.
Summary, etc. "In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Manifolds
General subdivision Mathematics
9 (RLIN) 273
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Shelving location Date acquired Source of acquisition Cost, normal purchase price Inventory number Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type
          Namal Library Namal Library Mathematics 02/19/2013 Allied book company 778.44 Bill No. 1415   516.07 TU-I 2012 261 261 07/18/2013 07/18/2013 Books