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eBook Essential Relativity: Special, General, and Cosmological (Texts and Monographs in Physics) download
Author: Wolfgang Rindler
ISBN: 0387100903
Subcategory: Science & Mathematics
Pages 284 pages
Publisher Springer Verlag; Revised edition (November 1, 1980)
Language English
Category: Other
Rating: 4.3
Votes: 121
ePUB size: 1836 kb
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eBook Essential Relativity: Special, General, and Cosmological (Texts and Monographs in Physics) download

by Wolfgang Rindler

Professor Wolfgang Rindler Department of Physics The University of Texas at Dallas Richardson, TX 75083-0688 US. I had the privilege and honor to earn my doctorate in Physics at the University of Texas at Dallas where Professor Rindler is a member of the faculty

I had the privilege and honor to earn my doctorate in Physics at the University of Texas at Dallas where Professor Rindler is a member of the faculty. His course was clear and pragmatic as he introduced the concept of Relativity and the difficult mathematics associated with its development. This text has an increased number of examples and problems than the original text, Essential Relativity. If you are really interested in understanding the modern importance of General Relativity, you will not be disappointed.

Essential Relativity : Special, General, and Cosmological. Also the basic purpose of the book remains the same, and that is to make relativity come alive conceptually. Select Format: Hardcover.

Essential Relativity book. Start by marking Essential Relativity: Special, General, and Cosmological (Texts and Monographs in Physics) as Want to Read: Want to Read savin. ant to Read.

Also the basic purpose of the book remains the same, and that is to make relativity come alive conceptually. I have always felt much sym pathy with Richard Courant's maxim (as reported and exemplified by Pascual Jordan) that, ideally, proofs should be reached by comprehension rather than computation. Where computations are necessary, I have tried to make them as transparent as possible, so as not to hinder the progress of comprehension.

Rindler, Wolfgang, 1924Essential relativity. Special relativity is then developed rigorously, with an eye on the physics at all times, but emphasizing ideas, not experimental detail. Texts and monographs in physics) Includes bibliographical references and index. 1. Relativity (Physics) I. Title. There is some unavoidable overlap of subject matter with my previous book Special Relativity (referred to hereafter as RSR), but the actual duplication is minimal, and many common topics are treated quite differently. Special Relativity, Applications to Particle Physics and Classical Thoery of Fluids. Ellis-Horwood, New York, 1992. Van Nostrand Reinhold C. New York, 1969.

Essential Relativity. Special, General, and Cosmological. Part of the Text and Monographs in Physics book series (TMP). But the most significant changes and additions have occurred throughout the text. Four-force Four-vector Gravity Lorentz transformation Minkowski diagram RMS Relativity Special relativity Time dilation general relativity. Authors and affiliations.

This monograph presents the rationale of multidimensional coordinate systems as the most effective visual tool to understand the behavior of any natural phenomenon from a multidimensional perspective.

In conference after conference the view is expressed that cosmology today is where particle physics was forty years ago, with major discoveries just waiting to happen. Also gravitational wave detectors, presently under construction or in the testing phase, promise to open up an entirely novel field of physics.

The Special and General Theory. Translated by Robert W. Lawson Rel. Contents Preface xv Notation xvii I INTRODUCTION: NEWTONIAN PHYSICS AND SPECIAL RELATIVITY 1 1 Einstein's. Relativity - The Special and General Theory. General Relativity, Black Holes, and Cosmology. 7 MB·4,903 Downloads. Table of contents page iii 1. Special Relativity. 59 MB·1,531 Downloads. LAWSON, University of Sheffield First published in the United States Relativity. One Hundred Years of General Relativity: From Genesis and Empirical Foundations to Gravitational.

From the reviews of the second edition: "It is the book par excellence for the nonrelativist who is at home with mathematics...What gives the book its outstanding quality is Professor Rindler's profound understanding of the ideas behind the formulas and his remarkable ability to share this understanding with the reader. In graceful prose he makes deep things simple. Under his guidance the basic concepts come vividly to life and acquire a force of their own so that the mathematics takes on a secondary role...With its combination of substantial mathematics, insight, and physical down-to-earthedness, the book is a delight in every way." American Mathematical Monthly
This is a good book to learn the basic concepts behind relativity beyond the popular science books. It is a mid-level text aimed at an audience familiar with mathematics/physics but less inclined to go through something more comprehensive like Weinberg. Its value is largely in its discussion rather than rigorous derivations and proofs. In fact, it is quite lacking in the mathematical discussion (results occasionally show up with little introduction or explanation). What popular science tries to convey via hand waving and the advanced texts ignore (due to their "philosophical rather than scientific relevance"), this book attempts to correctly explain. Examples would be discussions regarding inertial frames, Mach's principle, and the general physical/philosophical/practical implications of seemingly "benign" results.

I would not recommend this book to learn general relativity (as opposed to special relativity), however. It glosses over several mathematical preliminaries, especially those of tensor calculus. Once the concepts and strategies are understood, the best way to learn general relativity is directly via tensor calculus. Lawden's concise book in this case (Introduction to Tensor Calculus, Relativity and Cosmology) is undoubtedly one of the best investments to make in this regard. Otherwise, Weinberg is, as mentioned previously, the veritable bible of relativity and related cosmology but is not definitely not something to read sitting in front of the fireplace.

Also be warned, the hardcover copy is of quite poor quality. The pages seem low grade recycled (nothing wrong with that though) and the print is blurry (not crisp).
As a modern textbook in the theory of relativity, this book is rare, in that its goal is to give the reader a conceptual introduction to the theory, and not just mathematical formalism. The author also does not hesitate to include some philosophical argumentation wherever needed. It is written for the advanced undergraduate, and will prepare such a reader for more advanced reading in the subject.
The first chapter of the book is the best, for it is a comprehensive discussion of the origins of the theory of relativity as one that rejected the assertion that space and time were absolute. The author also gives an interesting historical discussion of Lorentz's ether theory, wherein Lorentz hypothesized that bodies moving through the ether undergo a contraction, and he discovered a time transformation that implied that clocks moving through the ether run slow. As the author points out, Lorentz thought such considerations were purely mathematical, and not important physically. In addition, in the section on Mach's principle, the author discusses briefly the work of Dennis Sciama who showed that the 1872 gravitational theory of F. Tisserand included Mach's principle. I was not aware of this work, and it motivated me to do further reading on the subject. The author also gives several examples to show that Mach's principle is not physically vacuous, but has observational consequences.
Chapter two overviews the kinematic consequences of the special theory of relativity. The most interesting part of this discussion was the section on the formulation of special relativity without assuming the invariance of the speed of light. The author shows that the principle of relativity implies that either all inertial frames are related by Galilean transformations, or all are related by Lorentz transformations with the same (postive) velocity (squared).
A discussion of optical effects follows in chapter 3. One unexpected and interesting result in this chapter is that a moving sphere has a circular outline to all observers because of length contraction.
Some of the mathematical formalism needed in special relativity is overviewed in chapter four. The class of four-vectors and four-tensors is defined, and the light cone geometry discussed in detail.
The relativistic mechanics of point particles is covered in chapter five. Such a theory is cast in the language of four-vectors, and the author explains nicely the mass-energy equivalence, analyzes scattering from a relativistic standpoint in the center of momentum frame, and shows how Newtonian mechanics is altered in the relativistic realm. He also spends a little time on relativistic continuum mechanics, via the energy tensor of the simplest continua: dust.
The connection between relativity and electrodynamics is outlined in chapter six. The material is standard and found in most books on relativity.
The author begins the study of general relativity in chapter seven with some elementary considerations of the differential geometry of curved surfaces and also Riemannian spaces. The author endeavors, rightfully, to explain the mathematics in a way that is intuitive as possible, rather than hitting the reader with highly abstract formalism.
He then presents the mathematica foundations of general relativity in chapter eight. After a brief review of tensor calculus, the author considers the gravitational field equations in a vacuum, emphasizing their nonlinearity. This is followed by a detailed discussion of the famous Schwarzschild solution. In addition, he considers a particular exact solution of the Einstein field equations in a vacuum, namely a plane-fronted gravitational wave. Although not physical, this solution illustrates some important properties of general gravitational radiation.
The author ends the book with a fairly detailed overview of cosmology. The difficulties in the pre-relativistic cosmology are discussed, one of the more interesting being the consideration of the Newtonian gravitational field inside a cavity resulting from the removal of a finite sphere from a static universe. Recognizing that Poisson's equation does not have a constant solution led to the alteration of the Newtonian potential and thus a modification of the Poisson equation. As the author observes, this move to get a static Newtonian universe is formally the same as what Einstein did via the introduction of the cosmological constant in his field equations (also to get a static universe). The author also considers the Robertson-Walker, Milne, and Friedman universe, and compares these to what is known observationally.
Although not the most comprehesive text on
the subject (see Thorne's tome, Gravitation),
Essential Relativity is perhaps the most
fulfilling book from which to learn both special and general relativity on a graduate school level.
Flipping through the pages, one cannot help
but notice that it often reads like a novel.
For the student or the adventurous, a wide
variety of problems are found in an appendix.
The author's background in differential geometry
is very evident in his excellent explanations
of difficult concepts.
This is a wonderful book, very amusing and thought provoking. Without trying to be comprehensive, it sheds much light on the basics of the theory, as well as of the mathematics. His discussion of Mach's principle is brilliant, and ends with a proposal of an experiment to test it with satellites! Very good at computations too, boasting tables for computing the curvature tensor from the metric tensor which are very useful.