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03105nam a2200421 a 4500 |
| 001 - CONTROL NUMBER |
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AH26832850 |
| 003 - CONTROL NUMBER IDENTIFIER |
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StDuBDS |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20230419193815.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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120704s2013 nyua fs 001 0 eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781441999825 (e-book) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
StDuBDS |
| Transcribing agency |
StDuBDS |
| Modifying agency |
StDuBDSZ |
| -- |
UkPrAHLS |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
MAT |
| Source |
ukslc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBMP |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBP |
| Source |
bicssc |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBMP |
| Source |
thema |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PBP |
| Source |
thema |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Lee, John M., |
| Dates associated with a name |
1950- |
| 245 10 - TITLE STATEMENT |
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| Title |
Introduction to smooth manifolds / |
| Statement of responsibility, etc. |
John M. Lee. |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd edition. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New York ; |
| -- |
London : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
c2013. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 708 p. : |
| Other physical details |
ill. |
| 366 ## - TRADE AVAILABILITY INFORMATION |
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| Detailed date of publication |
20120826 |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Graduate texts in mathematics ; |
| Volume/sequential designation |
218 |
| 500 ## - GENERAL NOTE |
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| General note |
Previous ed.: 2003. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical references and index. |
| 520 8# - SUMMARY, ETC. |
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| Summary, etc. |
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research. |
| Expansion of summary note |
This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer.This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard's theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures.Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis. |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
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| Additional physical form available note |
Also available in printed form ISBN 9781441999818 |
| 533 ## - REPRODUCTION NOTE |
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| Type of reproduction |
Electronic reproduction. |
| Agency responsible for reproduction |
Askews and Holts. |
| Note about reproduction |
Mode of access: World Wide Web. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Manifolds (Mathematics) |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics. |
| Source of heading or term |
ukslc |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Differential & Riemannian geometry |
| Source of heading or term |
thema |
| 650 #7 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Topology |
| Source of heading or term |
thema |
| 655 #7 - INDEX TERM--GENRE/FORM |
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| Source of term |
lcsh |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| Uniform title |
Graduate texts in mathematics ; |
| Volume/sequential designation |
218. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://www.vlebooks.com/vleweb/product/openreader?id=WestLondon&isbn=9781441999825">https://www.vlebooks.com/vleweb/product/openreader?id=WestLondon&isbn=9781441999825</a> |
| Public note |
Open e-book |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |