Elementary Topics in Differential Geometry / (Record no. 20028)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 02147pam a2200253 i 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000001746 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102224545.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 081109s1979 nyua |b 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0387903577 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] | |
| Level of rules in bibliographic description | 202301160947 |
| Level of effort used to assign nonsubject heading access points | shakra |
| Level of effort used to assign subject headings | 201402040055 |
| Level of effort used to assign classification | VLOAD |
| Level of effort used to assign subject headings | 201007211309 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200811101456 |
| Level of effort used to assign classification | venkatrajand |
| -- | 200811091245 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA641 |
| Item number | .T36 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Thorpe, John A. |
| 9 (RLIN) | 43673 |
| 245 10 - TITLE STATEMENT | |
| Title | Elementary Topics in Differential Geometry / |
| Statement of responsibility, etc. | John A. Thorpe. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | New York : |
| Name of publisher, distributor, etc. | Springer-Verlag, |
| Date of publication, distribution, etc. | c1979. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 253 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 490 0# - SERIES STATEMENT | |
| Series statement | Undergraduate texts in mathematics |
| 500 ## - GENERAL NOTE | |
| General note | Includes indexes. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Bibliography: p. 245. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Contents: Graphs and Level Sets.- Vector Fields.- The Tangent Space.- Surfaces.- Vector Fields on Surfaces; Orientation.- The Gauss Map.- Geodesics.- Parallel Transport.- The Weingarten Map.- Curvature of Plane Curves.- Arc Length and Line Integrals.- Curvature of Surfaces.- Convex Surfaces.- Parametrized Surfaces.- Local Equivalence of Surfaces and Parametrized Surfaces.- Focal Points.- Surface Area and Volume.- Minimal Surfaces.- The Exponential Map.- Surfaces with Boundary.- The Gauss-Bonnet Theorem.- Rigid Motions and Congruence.- Isometries.- Riemannian Metrics. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level. |
| 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 .T36 | 8675 | 21/12/2024 | 1 | 21/12/2024 | Books |