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Differential and Riemannian geometry /

Differential and Riemannian Geometry.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Laugwitz, Detlef
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1965.
Temas:
Acceso en línea:Texto completo

MARC

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020 |a 1483263983  |q (electronic bk.) 
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100 1 |a Laugwitz, Detlef. 
240 1 0 |a Differentialgeometrie.  |l English 
245 1 0 |a Differential and Riemannian geometry /  |c by Detlef Laugwitz ; translated by Fritz Steinhardt. 
260 |a New York :  |b Academic Press,  |c 1965. 
300 |a 1 online resource (251 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
588 0 |a Print version record. 
505 0 |a 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. 
520 |a Differential and Riemannian Geometry. 
650 0 |a Geometry, Differential. 
650 0 |a Geometry, Riemannian. 
650 6 |a G�eom�etrie diff�erentielle.  |0 (CaQQLa)201-0001184 
650 6 |a G�eom�etrie de Riemann.  |0 (CaQQLa)201-0048530 
650 7 |a MATHEMATICS  |x Geometry  |x General.  |2 bisacsh 
650 7 |a MATHEMATICS  |x Geometry  |x Differential.  |2 bisacsh 
650 7 |a Geometry, Differential  |2 fast  |0 (OCoLC)fst00940919 
650 7 |a Geometry, Riemannian  |2 fast  |0 (OCoLC)fst00940940 
776 0 8 |i Print version:  |a Laugwitz, Detlef.  |s Differentialgeometrie. English.  |t Differential and Riemannian geometry.  |d New York, Academic Press, 1965  |w (DLC) 64021670  |w (OCoLC)546045 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9781483231679  |z Texto completo