Relativity: The Special and General Theory

Relativity: The Special and General Theory, is an exact complete understanding of the theory of Relativity. It is the perfect material of study for learners, who have a general scientific and philosophical point of view, are interested in the theory of theoretical physics.
It is a compilation of short papers turned into a book that was originally written in German and then published in English in 1920. Einstein mentions the main aim of the book is to take the concept of relativity even to people with 
no strong background in Physics. The book has three major parts. In the first part, concepts like coordinate systems, length contraction, time dilation, relativistic mass, Minkowski’s Four-dimensional Space have been elaborated. Followed by, a revolutionary concept of general relativity is discussed in the second part. Lastly, Einstein puts light on his philosophical perspective towards the universe; also the way physics defines the working manual of it.

About the Author

Albert Einstein the famous German physicist, developer of the special and general theories of relativity, pioneering many key developments. He is cited as one of the most influential scientists of the 20th century. His work plays the most important contribution for astronomers to study everything from gravitational waves to Mercury’s orbit.Regarded as the founder of modern physics, 
Albert Einstein was born to Hermann Einstein, a salesman and an engineer, and Pauline Kochon on 14 March 1879, in Ulm, Kingdom of Wurttemberg, German Empire. He received his education at the Luitpold Gymnasium in Munich. His grades in physics and mathematics were always excellent. He completed his schooling at the Argovian Cantonal School, Aarau, Switzerland, and at the age of seventeen he joined the Zurich Polytechnic for a physics and mathematics teaching diploma programme.
Einstein received his degree in 1900 but failed to get a suitable teaching job. With his friend’s help. he joined the Federal Office for Intellectual Property as an assistant examiner-level III. Einstein secured a permanent position at the Swiss Patent Office in 1903. His conclusions about the space-time connection and the nature of light were aided by his work and experiments during this job.
Einstein completed his Ph.D. from the University of Zurich in 1905 and published four papers in the scientific journal named Annalen der Physik. The year was miraculous for him as these papers on photoelectric effect, Brownian motion, special relativity, and mass-energy equivalence (E = mc2) were significant contributors to the foundation of modern physics. They reformed the views on time, space, and matter. In the next few years. Einstein came to be recognized as a major scientist.
In 1908 he joined the University of Bern as a lecturer and the next year he was appointed as an associate professor at the University of Zurich. Two years later. in 1911, he was appointed as a professor at the Charles- Ferdinand University, Prague. Here he wrote several scientific works.
Einstein returned to Zurich the next year, and for the two years that followed, he joined ETH Zurich as a professor of theoretical physics.
Einstein was appointed as the director of Kaiser Wilhelm Institute of Physics in the year 1914 and as the president of the German Physical Society in 1916. He developed the general theory of relativity between 1907 and 1915. It was published in 1915. In 1916, Einstein published Relativity: The Special and the General Theory in German. Its first English translation was published in 1920. Divided into three parts, the book deals with the special theory of relativity, the general theory of relativity, and the considerations on the universe as a whole. It is considered a groundbreaking scientific work.
In 1921, Einstein was awarded the Nobel Prize in Physics “for his services to Theoretical Physics. and especially for his discovery of the law of the photoelectric effect.” In the years that followed, he
travelled extensively. In 1933, he joined the Institute for Advanced Study in the United States, and by 1940 he became an American citizen.
Einstein published numerous scientific and non- scientific works. Some of his published works include Sidelights on Relativity (1922), Cosmic Religion: With Other Opinions and Aphorisms (1931), Essays in Science (1934), The World as I See It (1949). Out of My Eater Years (1950), and Ideas and Opinions (1954). Einstein died on 18 April 1955, aged seventy-six, in Princeton, New Jersey.

PREFACE

The present book is intended, as far as possible, to give an exact insight into the theory of Relativity to those readers who, from a general scientific and philosophical point of view, are interested in the theory, but who are not conversant with the mathematical apparatus of theoretical physics. The work presumes a standard of education
corresponding to that of a university matriculation examination, and, despite the shortness of the book, a fair amount of patience and force of will on the part of the reader. The author has spared himself no pains in his endeavour to present the main ideas in the simplest and most intelligible form, and on the whole, in the sequence and connection in which they actually originated. In the interest of clearness, it appeared to me inevitable that I should repeat myself frequently, without paying the slightest attention to the elegance of the presentation. I adhered scrupulously to the precept of that brilliant theoretical physicist L. Boltzmann, according to whom matters of elegance ought to be left to the tailor and to the cobbler. I make no pretence of having withheld from the reader difficulties which are inherent to the subject. On the other hand, I have purposely treated the empirical physical foundations of the theory in a “step-motherly” fashion, so that readers unfamiliar with physics may not feel like the wanderer who was unable to see the forest for the trees. May the book bring some one a few happy hours of suggestive thought!
December, 1916
A. EINSTEIN. 

CONTENTS

PART I: THE SPECIAL THEORY OF RELATIVITY
  Chapter 1 Physical Meaning of Geometrical Propositions
  Chapter 2 The System of Co-ordinates
  Chapter 3 Space and Time in Classical Mechanics
  Chapter 4 The Galileian System of Co-ordinates
  Chapter 5 The Principle of Relativity in the Restricted Sense
  Chapter 6 The Theorem of the Addition of Velocities Employed in   Classical Mechanics
  Chapter 7 The Apparent Incompatibility of the Law of Propagation of   Light with the Principle of Relativity
  Chapter 8 On the Idea of Time in Physics
  Chapter 9 The Relativity of Simultaneity
  Chapter 10 On the Relativity of the Conception of Distance
  Chapter 11 The Lorentz Transformation 
  Chapter 12 The Behaviour of Measuring-Rods and Clocks in Motion
  Chapter 13 Theorem of the Addition of Velocities. The Experiment of   Fizeau
  Chapter 14 The Heuristic Value of the Theory of Relativity
  Chapter 15 General Results of the Theory
  Chapter 16 Experience and the Special Theory of Relativity
  Chapter 17 Minkowski’s Four-Dimensional Space
PART II: THE GENERAL THEORY OF RELATIVITY
  Chapter 18 Special and General Principle es of Relativity
  Chapter 19 The Gravitational Field
  Chapter 20 The Equality of Inertial and Gravitational Mass as an   Argument for the General Postulate of Relativity
  Chapter 21 In What Respects Are the Foundations of Classical   Mechanics and of the Special Theory of Relativity Unsatisfactory?
  Chapter 22 A Few Inferences from the General Principle of Relativity
  Chapter 23 Behaviour of Clocks and Measuring-Rods on a Rotating   Body of Reference
  Chapter 24 Euclidean and Non-Euclidean
  Chapter 25 Gaussian Co-Ordinates
  Chapter 26 The Space-Time Continuum of the Special Theory of   Relativity Considered as a Euclidean Continuum
  Chapter 27 The Space-Time Continuum of the General Theory of   Relativity is Not a Euclidean Continuum
  Chapter 28 Exact Formulation of the General Principle of Relativity
  Chapter 29 The Solution of the Problem of Gravitation on the Basis     of the General Principle of Relativity
PART III: CONSIDERATIONS ON THE UNIVERSE AS A WHOLE
  Chapter 30 Cosmological Difficulties of Newton’s Theory
  Chapter 31 The Possibility of a “Finite” and yet “Unbounded”   Universe
  Chapter 32 The Structure of Space According to the General Theory   of Relativity Rods
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