Elementary Differential Geometry / (Record no. 10349)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03288cam a2200241 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | vtls000001816 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | VRT |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250102223525.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 081110s1997 caua |b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 0125267452 (acidfree paper) |
| 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 | 201007271207 |
| Level of effort used to assign classification | malmash |
| Level of effort used to assign subject headings | 200811101435 |
| Level of effort used to assign classification | venkatrajand |
| Level of effort used to assign subject headings | 200811101103 |
| Level of effort used to assign classification | Noora |
| -- | 200811101101 |
| -- | Noora |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA641 |
| Item number | .O5 1997 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | O'Neill, Barrett. |
| 9 (RLIN) | 25109 |
| 245 10 - TITLE STATEMENT | |
| Title | Elementary Differential Geometry / |
| Statement of responsibility, etc. | Barrett O'Neill. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | San Diego : |
| Name of publisher, distributor, etc. | Academic Press, |
| Date of publication, distribution, etc. | c1997. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xi, 482 p. : |
| Other physical details | ill. ; |
| Dimensions | 24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references (p. 449) and index. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Part 1 Calculus on Euclidean space: Euclidean space; tangent vectors; directional derivatives; curves in R3; 1-forms; differential forms; mappings. Part 2 Frame fields: dot product; curves; the Frenet formulas; arbitrary speed curves; covariant derivatives; frame fields; connection forms; the structural equations. Part 3 Euclidean geometry: isometries of R3; the tangent map of an isometry; orientation; Euclidean geometry; congruence of curves. Part 4 Calculus on a surface: surfaces in R3; patch computations; differentiable functions and tangent vectors; differential forms on a surface; mappings of surfaces; integration of forms; topological properties; manifolds. Part 5 Shape operators: the shape operator of M R3; normal curvature; Gaussian curvature; computational techniques; the implicit case; special curves in a surface; surfaces of revolution. Part 6 Geometry of surfaces in R3: the fundamental equations; form computations; some global theorems; isometries and local isometries; intrinsic geometry of surfaces in R3; orthogonal coordinates; integration and orientation; total curvature; congruence of surfaces. Part 7 Riemannian geometry: geometric surfaces; Gaussian curvature; covariant derivative; geodesics; Clairaut parametrizations; the Gauss-Bonnet theorem; applications of Gauss-Bonnet. Part 8 Global structures of surfaces: length-minimizing properties of geodesics; complete surfaces; curvature and conjugate points; covering surfaces; mappings that preserve inner products; surfaces of constant curvature; theorems of Bonnet and Hadamard. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Written primarily for readers who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Second Edition provides an introduction to the geometry of curves and surfaces. Although the popular First Edition has been extensively modified, this Second Edition maintains the elementary character of that volume, while providing an introduction to the use of computers and expanding discussion on certain topics. Further emphasis has been placed on topological properties, properties of geodesics, singularities of vector fields, and the theorems of Bonnet and Hadamard. For readers with access to the symbolic computation programs, Mathematica or Maple, the book includes approximately 30 optional computer exercises. These are not intended as an essential part of the book, but rather an extension. No computer skill is necessary to take full advantage of this comprehensive text. |
| 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 .O5 1997 | 8873 | 21/12/2024 | 1 | 21/12/2024 | Books |