Elementary Differential geometry/ (Record no. 179923)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01996nam a2200133Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780120887354 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| Item number | NEI/E |
| 245 #0 - TITLE STATEMENT | |
| Title | Elementary Differential geometry/ |
| Statement of responsibility, etc. | Neill,Barrett O |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | Amsterdam: |
| Name of publisher, distributor, etc. | Elsevier, |
| Date of publication, distribution, etc. | 2006. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 503 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preface Introduction Chapter 1: Calculus on Euclidean Space: Euclidean Space. Tangent Vectors. Directional Derivatives. Curves in R3. 1-forms. Differential Forms. Mappings. Chapter 2: Frame Fields: Dot Product. Curves. The Frenet Formulas. ArbitrarySpeed Curves. Covariant Derivatives. Frame Fields. Connection Forms. The Structural Equations. Chapter 3: Euclidean Geometry: Isometries of R3. The Tangent Map of an Isometry. Orientation. Euclidean Geometry. Congruence of Curves. Chapter 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. Chapter 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. Chapter 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. Chapter 7: Riemannian Geometry: Geometric Surfaces. Gaussian Curvature. Covariant Derivative. Geodesics. Clairaut Parametrizations. The Gauss-Bonnet Theorem. Applications of Gauss-Bonnet. Chapter 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. Appendix Bibliography Answers to Odd-Numbered Exercises Subject Index |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | AC Sinha Collection |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Date last checked out | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 516.36 NEI/E | P34934 | 08/07/2022 | 13/06/2022 | General Books |