Metric Sructures in Differential Geometry / (Record no. 23240)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02261cam a22002414a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000001748 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102224908.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 081109s2004 nyu |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 038720430X (acidfree paper) |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 201402040056 |
| Level of effort used to assign nonsubject heading access points | VLOAD |
| Level of effort used to assign subject headings | 201007191037 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200811101454 |
| Level of effort used to assign classification | venkatrajand |
| Level of effort used to assign subject headings | 200811091250 |
| Level of effort used to assign classification | Noora |
| -- | 200811091249 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA641 |
| Item number | .W327 2004 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Walschap, Gerard, |
| Dates associated with a name | 1954- |
| 9 (RLIN) | 49173 |
| 245 10 - TITLE STATEMENT | |
| Title | Metric Sructures in Differential Geometry / |
| Statement of responsibility, etc. | Gerard Walschap. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York : |
| Name of publisher, distributor, etc. | Springer, |
| Date of publication, distribution, etc. | c2004. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | viii, 226 p. ; |
| Dimensions | 25 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Graduate texts in mathematics ; |
| Volume/sequential designation | 224 |
| 9 (RLIN) | 1563 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 221-222) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface.- Differentiable manifolds.- Fiber bundles.- Homotopy groups and bundles over spheres.- Connections and curvature.- Metric structures.- Characteristic classes.- Bibliography.- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This text is an introduction to the theory of differentiable manifolds and fiber bundles. The only requisites are a solid background in calculus and linear algebra, together with some basic point-set topology. The first chapter provides a comprehensive overview of differentiable manifolds. The following two chapters are devoted to fiber bundles and homotopy theory of fibrations. Vector bundles have been emphasized, although principal bundles are also discussed in detail. The last three chapters study bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres. Chapter 5, with its focus on the tangent bundle, also serves as a basic introduction to Riemannian geometry in the large. This book can be used for a one-semester course on manifolds or bundles, or a two-semester course in differential geometry.Gerard Walschap is Professor of Mathematics at the University of Oklahoma where he developed this book for a series of graduate courses he has taught over the past few years. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry, Differential. |
| 9 (RLIN) | 904 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | Library of Congress Classification |
| Suppress in OPAC | No |
| Koha item type | Books |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Total checkouts | Full call number | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | QA641 .W327 2004 | 8442 | 21/12/2024 | 1 | 21/12/2024 | Books |