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Space, Time, Matter
by Hermann Weyl

ISBN: 0486602672
Dover Publications Price: $15.95
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"A classic of physics ... the first systematic presentation of Einstein's theory of relativity." — British Journal for Philosophy and Science. Long one of the standard texts in the field, this excellent introduction probes deeply into Euclidean space, Riemann's space, Einstein's general relativity, gravitational waves and energy, and laws of conservation.


Table of Contents for Space, Time, Matter
INTRODUCTION
CHAPTER I EUCLIDEAN SPACE. ITS MATHEMATICAL FORM AND ITS RÔLE IN PHYSICS.
§ 1. Derivation of the Elementary Conceptions of Space from that of Equality
§ 2. Foundations of Affine Geometry
§ 3. "Conception of n-dimensional Geometry, Linear Algebra, Quadratic Forms"
§ 4. Foundations of Metrical Geometry
§ 5. Tensors
§ 6. Tensor Algebra. Examples
§ 7. Symmetrical Properties of Tensors
§ 8. Tensor Analysis. Stresses
§ 9. The Stationary Electromagnetic Field
CHAPTER II THE METRICAL CONTINUUM
§ 10. Note on Non-Euclidean Geometry
§ 11. Riemann's Geometry
§ 12. Riemann's Geometry (continued). Dynamical View of Metrics
§ 13. Tensors and Tensor-densities in an Arbitrary Manifolds
§ 14. Affinely Connected Manifolds
§ 15. Curvature
§ 16. Metrical Space
§ 17. Remarks on the Special Case of Riemann's Space
§ 18. Space Metrics from the Point of View of the Theory of Groups
CHAPTER III RELATIVITY OF SPACE AND TIME
§ 19. Galilei's and Newton's Principle of Relativity
§ 20. Electrodynamics of Varying Fields. Lorentz's Theorem of Relativity
§ 21. Einstein's Principle of Relativity
§ 22. "Relativistic Geometry, Kinematics, and Optics"
§ 23. Electrodynamics of Moving Bodies
§ 24. Mechanics of the Principle of Relativity
§ 25. Mass and Energy
§ 26. Mie's Theory
 Concluding Remarks
§ 27. "Relativity of Motion, Metrical Field, and Gravitation"
§ 28. Einstein's Fundamental Law of Gravitation
§ 29. Stationary Gravitational Field. Relationship with Experience
§ 30. Gravitational Waves
§ 31. Rigorous Solution of the Problem of One Body
§ 32. Further Rigorous Solutions of the Statical Problem of Gravitation
§ 33. Energy of Gravitation. Laws of Conservation
§ 34. Concerning the Inter-connection of the World as a Whole
§ 35. Word Metrics as the Origin of Electromagnetic Phenomena
§ 36. Application of the Simplest Principle of Action
 Fundamental Equations of Mechanics
APPENDIX I
APPENDIX II
BIBLIOGRAPHICAL REFERENCES
INDEX

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