Introduction to topological manifolds (Record no. 44512)
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000 -LEADER | |
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fixed length control field | 02161cam a22002414a 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 000225s2011 nyua b 001 0 eng |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 9781441979391 |
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 514.3 |
Item number | LEE |
100 1# - MAIN ENTRY--PERSONAL NAME | |
Personal name | Lee, John M. |
245 10 - TITLE STATEMENT | |
Title | Introduction to topological manifolds |
250 ## - EDITION STATEMENT | |
Edition statement | 2nd ed. |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc | New York: |
Name of publisher, distributor, etc | Springer, |
Date of publication, distribution, etc | 2011 |
300 ## - PHYSICAL DESCRIPTION | |
Extent | 385 p.: |
Other physical details | ill.; |
Dimensions | 24 cm |
365 ## - TRADE PRICE | |
Price type code | INR |
Price amount | 4600.56 |
440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
Title | Graduate texts in mathematics: Vol. 202 |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes bibliographical references and index. |
520 ## - SUMMARY, ETC. | |
Summary, etc | <br/>This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. A course on manifolds differs from most other introductory mathematics graduate courses in that the subject matter is often completely unfamiliar. Unlike algebra and analysis, which all math majors see as undergraduates, manifolds enter the curriculum much later. It is even possible to get through an entire undergraduate mathematics education without ever hearing the word "manifold." Yet manifolds are part of the basic vocabulary of modern mathematics, and students need to know them as intimately as they know the integers, the real numbers, Euclidean spaces, groups, rings, and fields. In his beautifully conceived introduction, the author motivates the technical developments to follow by explaining some of the roles manifolds play in diverse branches of mathematics and physics. Then he goes on to introduce the basics of general topology and continues with the fundamental group, covering spaces, and elementary homology theory. Manifolds are introduced early and used as the main examples throughout. John M. Lee is currently Professor of Mathematics at the University of Washington |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Topological space |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Van Kampen Theorem |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Homology |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Seifert |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Item type | Books |
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 | Total Checkouts | Total Renewals | Full call number | Barcode | Date last seen | Date last borrowed | Koha item type |
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Dewey Decimal Classification | IIT Gandhinagar | IIT Gandhinagar | 29/06/2016 | Himanshu Books | 4600.56 | 22 | 1 | 514.3 LEE | 023639 | 02/03/2024 | 26/02/2024 | Books |