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The theory of space, time, and gravitation

Author: V A Fok
Publisher: Oxford ; New York : Pergamon Press, 1966.
Edition/Format:   eBook : Document : English : 2d revised editionView all editions and formats
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The Theory of Space, Time and Gravitation.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Fok, V.A. (Vladimir Aleksandrovich), 1898-1974.
Theory of space, time, and gravitation.
(OCoLC)5907745
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V A Fok
ISBN: 9781483184906 1483184900
OCLC Number: 881851344
Description: 1 online resource (448 pages)
Contents: Front Cover; The Theory of Space, Time and Gravitation; Copyright Page; Table of Contents; TRANSLATOR'S PREFACE; TRANSLATOR'S PREFACE TO SECOND EDITION; PREFACE; PREFACE TO SECOND EDITION; INTRODUCTION; CHAPTER I. THE THEORY OF RELATIVITY; 1. Coordinates of Space and Time; 2. The Position of a Body in Space at a given Instant, in a Fixed Reference Frame; 3. The Law of Propagation of an Electromagnetic Wave Front; 4. Equations for Rays; 5. Inertial Frames of Reference; 6. The Basic Postulates of the Theory of Relativity; 7. The Galileo Transformations and the Need to Generalize Them 8. Proof of the Linearity of the Transformation Linking Two Inertial Frames9. Determination of the Coefficients of the Linear Transformations and of a Scale Factor; 10. Lorentz Transformations; 11. Determination of Distances and Synchronization of Clocks within One Inertial Reference Frame; 12. Time Sequence of Events in Different Reference Frames; 13. Comparison of Time Differences in Moving Reference Frames. The Doppler Effect; 14. Comparison of Clock Readings in Moving Reference Frames; 15. Comparison of Distances and Lengths in Moving Reference Frames; 16. Relative Velocity 17. The Lobachevsky-Einstein Velocity SpaceCHAPTER II. THE THEORY OF RELATIVITY IN TENSOR FORM; 18. Some Remarks on the Covariance of Equations; 19. Definition of a Tensor in Three Dimensions and some Remarks on Covariant Quantities; 20. Definition of a Four-Dimensional Vector; 21. Four-Dimensional Tensors; 22. Pseudo-Tensors; 23. Infinitesimal Lorentz Transformations; 24. The Transformation Laws for the Electromagnetic Field and the Covariance of Maxwell's Equations; 25. The Motion of a Charged Mass-Point in a given External Field 26. Approximate Description of a System of Moving Point Charges27. Derivation of the Conservation Laws in the Mechanics of Point Systems; 28. The Tensor Character of the Integrals of Motion; 29. A Remark on the Conventional Formulation of the Conservation Laws; 30. The Vector of Energy Current (Umov's Vector).; 31. The Mass Tensor; 32. Examples of the Mass Tensor; 33. The Energy Tensor of the Electromagnetic Field; 34. Mass and Energy; CHAPTER III: GENERAL TENSOR ANALYSIS; 35. Permissible Transformations for Space and Time Coordinates; 36. General Tensor Analysis and Generalized Geometry 37. The Definitions of a Vector and of a Tensor. Tensor Algebra38. The Equation of a Geodesic; 39. Parallel Transport of a Vector; 40. Covariant Differentiation; 41. Examples of Covariant Differentiation; 42. The Transformation Law for Christoffel Symbols and the Locally Geodesic Coordinate System. Conditions for transforming ds2 to a Form with Constant Coefficients; 43. The Curvature Tensor; 44. The Basic Properties of the Curvature Tensor; CHAPTER IV: A FORMULATION OF RELATIVITY THEORY IN ARBITRARY COORDINATES; 45. Properties of Space-Time and Choice of Coordinates
Responsibility: by V. Fock ; translated from the Russian by N. Kemmer.

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The Theory of Space, Time and Gravitation.

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