MARC details
| 000 -LEADER |
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| fixed length control field |
02894nam a2200253 a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
vtls000001706 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250102224908.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
081109s1997 enka | 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
038798271x |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0387983228 pbk |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
|---|
| Level of rules in bibliographic description |
201402040058 |
| Level of effort used to assign nonsubject heading access points |
VLOAD |
| Level of effort used to assign subject headings |
201008020901 |
| Level of effort used to assign classification |
malmash |
| Level of effort used to assign subject headings |
200811101434 |
| Level of effort used to assign classification |
venkatrajand |
| Level of effort used to assign subject headings |
200811091033 |
| Level of effort used to assign classification |
Noora |
| -- |
200811091027 |
| -- |
Noora |
| 050 ## - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
QA649 |
| Item number |
.L397 1997 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Lee, John M., |
| Dates associated with a name |
1950- |
| 9 (RLIN) |
32088 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Riemannian Manifolds : |
| Remainder of title |
An Introduction to curvature : with 88 illustrations / |
| Statement of responsibility, etc. |
John M. Lee. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
New York; |
| -- |
London : |
| Name of publisher, distributor, etc. |
Springer, |
| Date of publication, distribution, etc. |
c1997. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xv, 224 p : |
| Other physical details |
ill ; |
| Dimensions |
25 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Graduate texts in mathematics ; |
| Volume/sequential designation |
176 |
| 9 (RLIN) |
1563 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
Bibliography: p209-211. - Includes index. |
| 505 ## - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
What is curvature?- Review of Tensors, Manifolds, and Vector bundles.- Definitions and Examples of Riemannian Metrics.- Connections.- Riemannian Geodesics.- Geodesics and Distance.- Curvature.- Riemannian Submanifolds.- The Gauss-Bonnet Theorem.- Jacobi Fields.- Curvature and Topology. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This text is designed for a one-quarter or one-semester graduate course in Riemannian geometry. It focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. The book begins with a careful treatment of the machinery of metrics, connections, and geodesics, and then introduces the Riemann curvature tensor, before movsub manifoldsubmanifold theory, in order to give the curvature tensor a concrete quantitative interpretation. The remainder of the text is devoted to proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet's Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem. This unique volume will especially appeal to students by presenting a selective introduction to the main ides of the subject in an easily accessible way. The material is ideal for a single course, but broad enough to provide students with a firm foundation from which to pursue research or develop applications in Riemannian geometry and other fields that use its tools. Of special interest are the 'exercises' and 'problems' dispersed throughout the text. The exercises are carefully chosen and timed so as to give the reader opportunities to review mathas justhat hasjust been introduced, to practice working with the definitions, and to develop skills that are used later in the book. The problems that conclude the chapters are generally more difficult. They not only intmaterialew mateiral not covered in the body of the text, but they also provide the students with indispensable practice in using the |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Riemannian manifolds. |
| 9 (RLIN) |
43676 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Suppress in OPAC |
No |
| Koha item type |
Books |
