An introduction to manifolds (Record no. 110)
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000 -LEADER | |
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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 |
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 |
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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 |