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 unfold with clear math and key predictions.

This book presents the Mathematics of Relativity through concrete calculations and step‑by‑step reasoning, showing how light, motion, and gravity interact in four dimensions. The text connects the geometry of spacetime to physical effects you can test, from light bending near the sun to the advance of planetary orbits. It also links light’s behavior to photon concepts, momentum, and energy, offering a unified view of relativity that blends theory with observable implications.

• Derivations of light deflection and the perihelion shift, with emphasis on how new theory differs from older ideas
• Foundations for treating photons and material particles inside a four‑dimensional framework
• Connections between the velocity of light, Doppler effects, and color as measured by observers
• Discussion of experimental evidence and the historical context that shaped relativity

Ideal for readers curious about how relativistic physics is built from first principles and how its predictions line up with real measurements.

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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