Introduction Page Chapter I. OLD PHYSICS .1 1. Motion of a Particle. The Inverse Square Law 12. Two Pictures of Matter 3: 3. Vectors, Tensors, Operations 54. Maxwell sE quations 75. The Stress-E nergy Tensor 96. General Equations of Motion. The Complete Tensor 10 Chapter II. NEW GEOMETRY .... .12 7. Analytic Geometry ofF our Dimensions 12 8. Axioms ofF our-D imensional Geometry 14 9. Tensor Analysis 16 10. Complications Resulting From Imaginary Coordinate 20 11. A re theE quations of Physics Invariant 22 12. Curves in theN ew Geometry 24 Chapter III. SPECIAL RELATIVITY .26 13. Equations of Motion ,26 14. Lorentz Transformations ,28 15. Addition of Velocities 29 16. Light Corpuscles, or Photons 31 17. Electricity and Magnetism inS pecial Relativity 33 Chapter IV. CURVED SPACE 35 18. Curvature of Curves andS urfaces 35 19. Generalizations 37 20. The Riemann Tensor 39 21. Vectors in General Coordinates 41 22. Tensors in General Coordinates 44 23. Covariant and Contravariant Components 46 24. Physical Coordinates as General Coordinates 49 25. Curvilinear Coordinates inC urved Space 50 26. New Derivation of the Riemann Tensor 53 27. Differential Relations for the Riemann Tensor 54 28. Geodesies 55 Chapter V. GENERAL RELATIVITY 57 29. The Law of Geodesies 57 30. Solar System, Symmetry Conditions 58 31. Solution of the Field Equations 60 32. Equations of Geodesies 61 33. Newtonian Motion of a Planet 62 34. Relativity Motion of a Planet 63 35. Deflection of Light 65 36.
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