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The Physical and Mathematical Foundations of the Theory of Relativity

A Critical Analysis

Authors: Romano, Antonio, Furnari, Mario

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  • Enriches readers' understanding of general relativity by examining its foundations through an innovative, critical lens
  • Employs an integrated approach to the subject by guiding readers through the conceptual transition from classical to relativistic mechanics
  • Provides a thorough but accessible introduction to graduate students and researchers interested in obtaining comprehensive understanding of relativity
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eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-030-27237-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
  • ISBN 978-3-030-27236-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications.  The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole.

After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative.

Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.

About the authors

Antonio Romano has been the author or coauthor of numerous books on mechanics and Mathematica, and he has taught courses in mechanics for 35 years at "Il Fredrico" University in Naples.
Mario Mango Furnari is a senior researcher at Istituto di cibernetica "Edoardo Caianiello."

Table of contents (17 chapters)

Table of contents (17 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-3-030-27237-1
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
  • ISBN 978-3-030-27236-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Physical and Mathematical Foundations of the Theory of Relativity
Book Subtitle
A Critical Analysis
Authors
Copyright
2019
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-27237-1
DOI
10.1007/978-3-030-27237-1
Hardcover ISBN
978-3-030-27236-4
Edition Number
1
Number of Pages
XVI, 496
Number of Illustrations
45 b/w illustrations, 2 illustrations in colour
Topics