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Differential and Riemannian geometry /
Differential and Riemannian Geometry.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1965.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Differential and Riemannian Geometry; Copyright Page; Preface to the German Edition; Translator's Preface; Author's Note; Table of Contents; CHAPTER I. Local Differential Geometry of Space Curves; 1. Differential-Geometric Properties of Curves; 2. The Complete System of Invariants for Space Curves; CHAPTER II. Local Differential Geometry of Surfaces; 3. Surfaces, and Curves on Surfaces; 4. Intrinsic Geometry of Surfaces; 5. Curvature of Surfaces; 6. Special Topics in the Theory of Surfaces; CHAPTER III. Tensor Calculus and Riemannian Geometry; 7. The Concept of a Differentiable Manifold 8. Tensor Algebra; 9. Tensor Analysis; 10. The Geometry of a Space with Affine Connection; 11. Foundations of Riemannian Geometry; CHAPTER IV. Further Development and Applicationsof Riemannian Geometry; 12. Spaces of Constant Curvature and Non-Euclidean Geometry; 13. Mappings; 14. Riemannian Spaces and Analytical Dynamics; 15. Metric Differential Geometry and Characterizations of Riemannian Geometry; CHAPTER V. Selections from Differential Geometry in the Large; 16. Curves in the Large; 17. Surfaces in the Large; APPENDIX I:From the History of Differential GeometryAPPENDIX II:Some Prerequisite Theorems of Analysis; 1. Existence and Uniqueness Theorem for Ordinary First-OrderDifferential Equations and Systems of Equations; 2. Integrability Theory for Systems of First-Order Partial DifferentialEquations; 3. From the Calculus of Variations; APPENDIX III:Summary of Formulas; Theory of Curves; Theory of Surfaces; Index.