Sinopsis
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
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Reseña del editor
Excerpt from Mathematics of Relativity Lecture Notes
In an application of Mathematics to Physics a correspondence is established between some mathematical quantities and some physical quantities in such a way that the same relationship exists (as a result of the mathematical theory) between mathematical quantities as the experimentally established relation between the corresponding physical quantities. This view is not new, it was emphatically formulated by H. Hertz in the introduction to his Mechanics, and then emphasized again by A. S. Eddington in application to Relativity. The process of establishing the correspondence between the physical and the mathematical quantities we shall, following Eddington, call identification. An identification is successful, if the condition mentioned above is fulfilled, viz., if the relations deduced for the mathematical quantities are experimentally proved to exist between the Physical quantities with which they have been identified. From this point of view we do not speak of true or false theories, still less of absolute truth, etc.; truth for us is nothing but a successful identification, and it is necessary to say expressly that there may exist at the same time two successful identifications, two theories, each of which may be applied within experimental errors to the known experimental results; and that there may be times when no such theory has been found; and also that an identification which is successful at one time may cease to be so later, when the experimental precision will be increased.
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Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Reseña del editor
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
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
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Mathematics of Relativity Lecture Notes (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book delves into the revolutionary world of physics, taking the reader on a journey from the established principles of Newtonian mechanics to the groundbreaking concepts of Relativity. The author re-examines fundamental equations of motion and electrodynamics, presenting a new framework that sets the stage for Relativity. The book offers a deep dive into the mathematical foundations of physics, exploring the relationship between matter and force through concepts like tensor analysis and four-dimensional geometry. It navigates the historical evolution of physical theories, highlighting the shift from a discrete view of matter to a continuous one, and the development of Maxwell's equations to describe electromagnetic phenomena. The author's approach challenges the conventional understanding of space and time, arguing that geometry itself needs to be re-evaluated in the light of new scientific discoveries. This insightful exploration of the interplay between mathematics and physics offers a fresh perspective on the nature of reality and opens new possibilities for understanding the universe. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781330285251_0
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Mathematics of Relativity Lecture Notes (Classic Reprint)
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Paperback. Condición: Brand New. 145 pages. 8.43x5.85x0.73 inches. This item is printed on demand. Nº de ref. del artículo: zk1330285255
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