Mathematical Principles of Mechanics and Electromagnetism

Inhaltsverzeichnis

• of Part B.
• 5. Classical Theory of Electromagnetism.
• Section 30. Classical Laws of Electrostatic Fields.
• Section 31. Steady Currents and Magnetic Induction.
• Section 32. Time-Dependent Electromagnetic Fields, Maxwell’s Equations.
• Section 33. Balance Principles.
• Section 34. Electromagnetic Waves.
• Section 35. Electromechanical Interactions.
• 6. Special Relativistic Theory of Electromagnetism.
• Section 36. Newtonian, Galilean, and Ether Space-Times.
• Section 37. Minkowskian Space-Time.
• Section 38. Lorentz Transformations.
• Section 39. Vectors and Tensors in the Minkowskian Space-Time.
• Section 40. Maxwell’s Equations in Special Relativistic Form.
• Section 41. Lorentz’s Formula and the Balance Principles in Special Relativistic Form.
• Section 42. Doppler Effect of Electromagnetic Waves.
• 7. General Relativistic Theory of Gravitation.
• Section 43. Newton’s Law of Gravitation and the Principle of Equivalence.
• Section 44. Minkowskian Manifold.
• Section 45. The Stress-Energy-Momentum Tensor in a Material Medium.
• Section 46. Einstein’s Field Equations.
• Section 47. The Schwarzschild Solution and the Problems of Planetary Orbits and the Deflection of Light.
• Section 48. The Action Principle.
• Section 49. Action and Coaction.
• Section 50. The Nordström-Toupin Ether Relation and the Minkowskian Metric.
• 8. General Relativistic Theory of Electromagnetism.
• Section 51. Maxwell’s Equations in General Relativistic Form.
• Section 52. The Maxwell-Lorentz Ether Relation and the Minkowskian Metric I: Toupin’s Uniqueness Theorem.
• Section 53. The Maxwell-Lorentz Ether Relation and the Minkowskian Metric II: Basic Properties and Preliminary Lemmas.
• Section 54. The Maxwell-Lorentz Ether Relation and the Minkowskian Metric III: Toupin’s Existence Theorem.
• Section 55. The Electromagnetic Action and the Electromagnetic Stress-Energy-Momentum Tensor.
• Section 56. Electrogravitational Fields of an Electrically Charged Mass Point.
• Selected Reading for Part B.