Relativity - 1st Edition - ISBN: 9780080251967, 9781483139265

Relativity

1st Edition

The Theory and Its Philosophy

Authors: Roger B. Angel
Editors: Mario Bunge
eBook ISBN: 9781483139265
Imprint: Pergamon
Published Date: 1st January 1980
Page Count: 272
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Description

Relativity: The Theory and its Philosophy provides a completely self-contained treatment of the philosophical foundations of the theory of relativity. It also surveys the most essential mathematical techniques and concepts that are indispensable to an understanding of the foundations of both the special and general theories of relativity. In short, the book includes a crash course in applied mathematics, ranging from elementary trigonometry to the classical tensor calculus.

Comprised of 11 chapters, this book begins with an introduction to fundamental mathematical concepts such as sets, relations, and functions; N-tuples, vectors, and matrices; and vector algebra and calculus. The discussion then turns to the concept of relativity and elementary foundations of Newtonian mechanics, as well as the principle of special relativity and its philosophical interpretation by means of empiricism and rationalism. Subsequent chapters focus on the status of the doctrine of conventionalism in the theory of special relativity; the commensurability of classical and relativistic mechanics; mathematical foundations of special relativistic physics; and the classical or Newtonian theory of gravitation. The principle of general covariance and its relation to the principle of general relativity are also examined. The final chapter addresses the fundamental question as to the actual information concerning the structure of spacetime that is conveyed to us through the theory of general relativity.

This monograph will be of interest to students, teachers, practitioners, and researchers in physics, mathematics, and philosophy.

Table of Contents


Preface

List of Logical Symbols

1. Mathematical Preliminaries

2. Relativity and Newtonian Mechanics

3. The Principle of Special Relativity

4. Empiricism, Rationalism and Special Relativity

5. Special Relativity and Conventionalism

6. The Commensurability of Classical and Relativistic Mechanics

7. More Mathematics

8. The Path to General Relativity

9. An Outline of General Relativity

10. Relativity and Covariance

11. Spacetime and Geometry

Index

Details

No. of pages:
272
Language:
English
Copyright:
© Pergamon 1980
Published:
Imprint:
Pergamon
eBook ISBN:
9781483139265

About the Author

Roger B. Angel

About the Editor

Mario Bunge