MARC details
| 000 -LEADER |
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| fixed length control field |
02200nam a22002777a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20240302174015.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
240223b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470437275 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.7 |
| Item number |
GUI-D |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Guillemin, Victor |
| 245 ## - TITLE STATEMENT |
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| Title |
Differential topology |
| Statement of responsibility, etc |
by Victor Guillemin and Alan Pollack. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Telangana : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
©2010 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvi, 222 p. |
| Other physical details |
ill. ; |
| Dimensions |
23cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references (212-215) and index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Title |
Part-1 Manifolds and smooth Maps |
| -- |
Part-2 Transversality and Intersection |
| -- |
Part-3 Oriented intersection Theory |
| -- |
Part-4 Integration on Manifolds |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Differential Topology provides an elementary and intuitive introduction to the study of smooth manifolds. In the years since its first publication, Guillemin and Pollack's book has become a standard text on the subject. It is a jewel of mathematical exposition, judiciously picking exactly the right mixture of detail and generality to display the richness within.<br/><br/>The text is mostly self-contained, requiring only undergraduate analysis and linear algebra. By relying on a unifying idea--transversality--the authors are able to avoid the use of big machinery or ad hoc techniques to establish the main results. In this way, they present intelligent treatments of important theorems, such as the Lefschetz fixed-point theorem, the Poincaré-Hopf index theorem, and Stokes theorem.<br/><br/>The book has a wealth of exercises of various types. Some are routine explorations of the main material. In others, the students are guided step-by-step through proofs of fundamental results, such as the Jordan-Brouwer separation theorem. An exercise section in Chapter 4 leads the student through a construction of de Rham cohomology and a proof of its homotopy invariance.<br/><br/>The book is suitable for either an introductory graduate course or an advanced undergraduate course. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
1. Differential topology |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Evenness of zero |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Manifold |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Transversality theorem |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Victor Guillemin |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Pollack, Alan |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
