A course in differential geometry and lie groups (Record no. 560088)
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| fixed length control field | 01838nam a2200229 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250501020003.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190115b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 8185931291 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| Item number | K96c |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kumaresan, S. |
| 245 ## - TITLE STATEMENT | |
| Title | A course in differential geometry and lie groups |
| Statement of responsibility, etc | S. Kumaresan |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New Delhi |
| Name of publisher | Hindustan Book Agency |
| Year of publication | 2002 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xi, 295p |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Texts and readings in mathematics |
| 490 ## - SERIES STATEMENT | |
| Series statement | / edited by V. S. Borkar; v.22 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book arose out of courses taught by the author. It covers the traditional topics of differential manifolds, tensor fields, Lie groups, integration on manifolds and basic differential and Riemannian geometry. The author emphasizes geometric concepts, giving the reader a working knowledge of the topic. Motivations are given, exercises are included, and illuminating nontrivial examples are discussed. Important features include the following: Geometric and conceptual treatment of differential calculus with a wealth of nontrivial examples. A thorough discussion of the much-used result on the existence, uniqueness, and smooth dependence of solutions of ODEs. Careful introduction of the concept of tangent spaces to a manifold. Early and simultaneous treatment of Lie groups and related concepts. A motivated and highly geometric proof of the Frobenius theorem. A constant reconciliation with the classical treatment and the modern approach. Simple proofs of the hairy-ball theorem and Brouwer's fixed point theorem. Construction of manifolds of constant curvature a la Chern. This text would be suitable for use as a graduate-level introduction to basic differential and Riemannian geometry. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematics, General |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|
| General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 15/01/2019 | 510 K96c | GB1568 | Books |