Universitext

The Special Theory of Relativity

A Mathematical Exposition

Authors: Das, Anadijiban

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About this Textbook

Based on courses taught at the University of Dublin, Carnegie Mellon University, and mostly at Simon Fraser University, this book presents the special theory of relativity from a mathematical point of view. It begins with the axioms of the Minkowski vector space and the flat spacetime manifold. Then it discusses the kinematics of special relativity in terms of Lorentz tranformations, and treats the group structure of Lorentz transformations. Extending the discussion to spinors, the author shows how a unimodular mapping of spinor (vector) space can induce a proper, orthochronous Lorentz mapping on the Minkowski vector space. The second part begins with a discussion of relativistic particle mechanics from both the Lagrangian and Hamiltonian points of view. The book then turns to the relativistic (classical) field theory, including a proof of Noether's theorem and discussions of the Klein-Gordon, electromagnetic, Dirac, and non-abelian gauge fields. The final chapter deals with recent work on classical fields in an eight-dimensional covariant phase space.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $59.99
price for USA in USD
  • ISBN 978-1-4612-0893-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Softcover $79.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
The Special Theory of Relativity
Book Subtitle
A Mathematical Exposition
Authors
Series Title
Universitext
Copyright
1993
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0893-8
DOI
10.1007/978-1-4612-0893-8
Softcover ISBN
978-0-387-94042-7
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XII, 232
Topics