An introduction to manifolds / (Record no. 1886)
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000 -LEADER | |
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fixed length control field | 01941nam a2200265Ia 4500 |
001 - CONTROL NUMBER | |
control field | 41405 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | IN-BdCUP |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20230421153806.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 230413s9999 000 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 1441973990 |
040 ## - CATALOGING SOURCE | |
Language of cataloging | eng |
Transcribing agency | IN-BdCUP |
041 ## - LANGUAGE CODE | |
Language code of text/sound track or separate title | eng |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 516.07 |
Item number | LOR |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Loring W. Tu |
245 #3 - TITLE STATEMENT | |
Title | An introduction to manifolds / |
Statement of responsibility, etc. | Loring W. Tu |
250 ## - EDITION STATEMENT | |
Edition statement | 2nd Edition. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
Place of publication, distribution, etc. | London : |
Name of publisher, distributor, etc. | Springer, |
Date of publication, distribution, etc. | 2010. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xviii, 410 p. ; |
Dimensions | 22 cm. |
520 ## - SUMMARY, ETC. | |
Summary, etc. | Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. 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 further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name entry element | Mathematics |
Topical term or geographic name entry element | Manifolds (Mathematics) |
Topical term or geographic name entry element | Global differential geometry |
Topical term or geographic name entry element | Complex manifolds |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Book |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Bill number | Total checkouts | Total renewals | Full call number | Barcode | Date last seen | Date last checked out | Copy number | Actual Cost, replacement price | Bill Date | Koha item type |
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Dewey Decimal Classification | Ranganathan Library | Ranganathan Library | 10/02/2020 | Star Books, New Delhi | 3939.71 | STAR-6828/2019-20 | 6 | 6 | 516.07 LOR | 038040 | 21/03/2025 | 21/02/2025 | Copy 1 | 2560.81 | 13/02/2020 | Book | ||||
Dewey Decimal Classification | Ranganathan Library | Ranganathan Library | 10/02/2020 | Capital Books Pvt. Ltd, New Delhi | 2151.39 | 70/21-22 | 10 | 7 | 516.07 LOR | 041500 | 30/03/2025 | 30/03/2025 | Copy 2 | 1290.84 | 15/06/2021 | Book | ||||
Dewey Decimal Classification | Ranganathan Library | Ranganathan Library | 10/02/2020 | Capital Books Pvt. Ltd, New Delhi | 2151.39 | 70/21-22 | 10 | 9 | 516.07 LOR | 041501 | 25/02/2025 | 13/01/2025 | Copy 3 | 1290.84 | 15/06/2021 | Book |