Relativity
eBook - PDF

Relativity

The Theory and Its Philosophy

  1. 272 pages
  2. English
  3. PDF
  4. Only available on web
eBook - PDF

Relativity

The Theory and Its Philosophy

Book details
Table of contents
Citations

About This Book

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.

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Information

Publisher
Pergamon
Year
2014
ISBN
9781483139265
Topic
Physical Sciences
Subtopic
Energy

Table of contents

  1. Front Cover
  2. Relativity: The Theory and its Philosophy
  3. Copyright Page
  4. Table of Contents
  5. Dedicated
  6. Preface
  7. List of Logical Symbols
  8. Chapter 1. Mathematical Preliminaries
  9. Chapter 2. Relativity and Newtonian Mechanics
  10. Chapter 3. The Principle of Special Relativity
  11. Chapter 4. Empiricism, Rationalism and Special Relativity
  12. Chapter 5. Special Relativity and Conventionalism
  13. Chapter 6. The Commensurability of Classical and Relativistic Mechanics
  14. Chapter 7. More Mathematics
  15. Chapter 8. The Path to General Relativity
  16. Chapter 9. An Outline of General Relativity
  17. Chapter 10. Relativity and Covariance
  18. Chapter 11. Spacetime and Geometry
  19. Index