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Theory of Relativity by W. Pauli ISBN: 048664152X Dover Publications Price: $12.95 click here to see this book This classic work offers a concise and comprehensive review of the literature on relativity as of 1921, along with the author's insightful update of later developments in relativity theory and coverage of subsequent controversies. Special attention is given to unified field theories. 1958 edition. Table of Contents for Theory of Relativity   Preface by W. Pauli; Preface by A. Sommerfeld; Bibliography Part I. The foundations of the special theory of relativity   1. Historical background (Lorentz, Poincaré, Einstein)   2. The postulate of relativity   3. The postulate of the constancy of the velocity of light. Ritz's and related theories   4. The relativity of simultaneity. Derivation of the Lorentz transformation from the two postulates. Axiomatic nature of the Lorentz transformation   5. Lorentz contraction and time dilatation   6. Einstein's addition theorem for velocities and its application to aberration and the drag coefficient. The Doppler effect Part II. Mathematical Tools   7. The four-dimensional space-time world (Minkowski)   8. More general transformation groups   9. Tensor calculus for affine transformations   10. Geometrical meaning of the contravariant and covariant components of a vector   11. "Surface" and "volume" tensors. Four-dimensional volumes   12. Dual tensors   13. Transition to Riemannian geometry   14. Parallel displacement of a vector   15. Geodesic lines   16. Space curvature   17. Riemannian coordinates and their applications   18. The special cases of Euclidean geometry and of constant curvature   19. The integral theorems of Gauss and Stokes in a four-dimensional Riemannian manifold   20. Derivation of invariant differential operations, using geodesic components   21. Affine tensors and free vectors   22. Reality relations   23. Infinitesimal coordinate transformations and variational theorems Part III. Special theory of relativity. Further elaborations A. Kinematics   24. Four-dimensional representation of the Lorentz transformation   25. The addition theorem for velocities   26. Transformation law for acceleration. Hyperbolic motion B. Electrodynamics   27. Conservation of charge. Four-current density   28. Covariance of the basic equations of electron theory   29. Ponderomotive forces. Dynamics of the electron   30. Momentum and energy of the electromagnetic field. Differential and integral forms of the conservation laws   31. The invariant action principle of electrodynamics   32. Applications to special cases     a. Integration of the equations for the pote     b. The field of a uniformly moving point charge     c. The field for hyperbolic motion     d. Invariance of the light phase. Reflection at a moving mirror. Radiation pressure     e. The radiation field of a moving dipole     f. Radiation reaction   33. Minkowski's phenomenological electrodynamics of moving bodies   34. Electron-theoretical derivations   35. Energy-momentum tensor and ponderomotive force in phenomenological electrodynamics. Joule heat   36. Applications of the theory     a. The experiments of Rowland, Röntgen, Eichenwald and Wilson     b. Resistance and induction in moving conductors     c. Propagation of light in moving media. The drag coefficient. Airy's experiment     d. Signal velocity and phase velocity in dispersive media C. Mechanics and general dynamics   37. Equation of motion. Momentum and kinetic energy   38. Relativistic mechanics on a basis independent of electrodynamics   39. Hamilton's principle in relativistic mechanics   40. Generalized coordinates. Canonical form of the equations of motion   41. The inertia of energy   42. General dynamics   43. Transformation of energy and momentum of a system in the presence of external forces   44. Applications to special cases. Trouton and Noble's experiments   45. Hydrodynamics and theory of elasticity D. Thermodynamics and statistical mechanics   46. Behaviour of the thermodynamical quantities under a Lorentz transformation   47. The principle of least action   48. The application of relativity to statistical mechanics   49. Special cases     a. Black-body radiation in a moving cavity     b. The ideal gas Part IV. General theory of relativity   50. Historical review, up to Einstein's paper of 1916   51. General formulation of the principle of equivalence. Connection between gravitation and metric   52. The postulate of the general covariance of the physical laws   53. Simple deductions from the principle of equivalence     a. The equations of motion of a point-mass for small velocities and weak gravitational f     b. The red shift of spectral lines     c. Fermat's principle of least time in static gravitational fields   54. Influence of the gravitational field on material phenomena   55. The action principles for material processes in the presence of gravitational fields   56. The field equations of gravitation   57. Derivation of the gravitational equations from a variational principle   58. Comparison with experiment     a. Newtonian theory as a first approximation     b. Rigorous solution for the gravitational field of a point-mass     c. Perihelion precession of Mercury and the bending of light rays   59. Other special, rigorous, solutions for the statical case   60. Einstein's general approximative solution and its applications   61. The energy of the gravitational field   62. Modifications of the field equations. Relativity of inertia and the space-bounded universe     a. The Mach principle     b. Remarks on the statistical equilibrium of the system of fixed stars. The lambda-term     c. The energy of the finite universe Part V. Theories on the nature of charged elementary particles   63. The electron and the special theory of relativity   64. Mie's theory   65. Weyl's theory     a. Pure infinitesimal geometry. Gauge invariance     b. Electromagnetic field and world metric     c. The tensor calculus in Weyl's geometry     d. Field equations and action principle. Physical deductions   66. Einstein's theory   67. General remarks on the present state of the problem of matter     Supplementary notes; Author index; Subject index

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