A Course in Differential Geometry / (Record no. 3695)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02379cam a22002534a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000001751 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102222817.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 081109s2001 riua |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 082182709X (alk. 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 | 201010020828 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200811101322 |
| Level of effort used to assign classification | venkatrajand |
| Level of effort used to assign subject headings | 200811091256 |
| Level of effort used to assign classification | Noora |
| -- | 200811091255 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA641 |
| Item number | .A795 2001 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Aubin, Thierry. |
| 9 (RLIN) | 10388 |
| 245 12 - TITLE STATEMENT | |
| Title | A Course in Differential Geometry / |
| Statement of responsibility, etc. | Thierry Aubin. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Providence, R.I. : |
| Name of publisher, distributor, etc. | American Mathematical Society, |
| Date of publication, distribution, etc. | c2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xi, 184 p. : |
| Other physical details | ill. ; |
| Dimensions | 27 cm. |
| 440 #0 - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Graduate studies in mathematics, |
| International Standard Serial Number | 1065-7339 ; |
| Volume/sequential designation | v. 27 |
| 9 (RLIN) | 10389 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 177) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Background material Differentiable manifolds Tangent space Integration of vector fields and differential forms Linear connections Riemannian manifolds The Yamabe problem-An introduction to research Bibliography Subject index Notation. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This textbook for second-year graduate students is intended as an introduction to differential geometry with principal emphasis on Riemannian geometry. Chapter I explains basic definitions and gives the proofs of the important theorems of Whitney and Sard. Chapter II deals with vector fields and differential forms. Chapter III addresses integration of vector fields and |
| -- | plane fields. Chapter IV develops the notion of connection on a Riemannian manifold considered as a means to define parallel transport on the manifold.The author also discusses related notions of torsion and curvature, and gives a working knowledge of the covariant derivative. Chapter V specializes on Riemannian manifolds by deducing global properties from local properties of curvature, the final goal being to determine the manifold completely. Chapter VI explores some problems in PDEs suggested by the geometry of manifolds. The author is well known for his significant contributions to the field of geometry and PDEs - particularly for his work on the Yamabe problem - and for his expository accounts on the subject. The text contains many problems and solutions, permitting the reader to apply the theorems and to see concrete developments of the abstract theory. |
| 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 | Barcode | Date last seen | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Library of Congress Classification | Library | Library | First Floor | 21/12/2024 | 10287 | 21/12/2024 | 1 | 21/12/2024 | Books |