Mathematics of Relativity Lecture Notes (Classic Reprint) - Couverture souple

George Yuri Rainich

Couverture souple

ISBN 10 : 1330285255 ISBN 13 : 9781330285251

Editeur : Forgotten Books, 2018

Synopsis

Explore how Einstein’s ideas reshape our view of light, motion, and gravity. This collection of lecture notes presents the Mathematics of Relativity in clear, accessible terms, tracing how light behaves in strong gravitational fields and how time, energy, and color relate in relativistic physics. You’ll see how the theory predicts phenomena like light deflection near the sun and the advance of planetary perihelia, and how these ideas connect to real-world measurements.

The material focuses on key concepts in a step‑by‑step way, guiding you from basic relativity ideas to specific predictions. It covers the relationship between light, photons, and momentum, and explains how the constancy of light speed fits with a new addition rule for velocities. The notes also compare relativistic predictions with older theories, highlighting where experiments have supported the new framework.

What you’ll experience
- A walk‑through of light propagation in gravitational fields, including the deflection of light by the sun.
- An explanation of spectral line shifts and color as related to relativistic effects.
- Connections between photon behavior, energy, and the time component of momentum.
- A look at how Mercury’s orbit and other planetary motions illustrate relativistic corrections.

Ideal for readers who want a rigorous, example‑driven approach to relativity theory and its mathematical underpinnings, without requiring advanced prior knowledge of all details.

A propos du livre

Présentation de l'éditeur

Excerpt from Mathematics of Relativity Lecture Notes

Old Physics; Motion of a Particle. The Inverse Square Law; Two Pictures of Matter; Vectors, Tensors, Operations; Maxwell's Equations; The Stress-Energy Tensor; General Equations of Motion. The Complete Tensor; New Geometry; Analytic Geometry of Four Dimensions; Axioms of Four-Dimensional Geometry; Tensor Analysis; Complications Resulting From Imaginary Coordinate; Are the Equations of Physics Invariant; Curves in the New Geometry; Special Relativity; Equations of Motion; Lorentz Transformations; Addition of Velocities; Light Corpuscles, or Photons; Electricity and Magnetism in Special Relativity; Curved Space; Curvature of Curves and Surfaces; Generalizations; The Riemann Tensor; Vectors in General Coordinates; Tensors in General Coordinates; Covariant and Contravariant Components; Physical Coordinates as General Coordinates; Curvilinear Coordinates in Curved Space; New Derivation of the Riemann Tensor; Differential Relations for the Riemann Tensor; Geodesics; General Relativity; The Law of Geodesics; Solar System, Symmetry Conditions; Solution of the Field Equations; Equations of Geodesics; Newtonian Motion of a Planet; Relativity Motion of a Planet; Deflection of Light; Shift of Spectral Lines

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Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1330285255
• ISBN 13: 9781330285251
• Reliure: Broché
• Nombre de pages: 145
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