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  • Textbook
  • © 1993

The Special Theory of Relativity

A Mathematical Exposition

Authors:

  1. Anadijiban Das

    1. Department of Mathematics and Statistics, Simon Fraser University, Burnaby, Canada

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Part of the book series: Universitext (UTX)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
    PDF

  4. The Lorentz Transformation

    • Anadijiban Das
    Pages 48-71

  6. The Special Relativistic Mechanics

    • Anadijiban Das
    Pages 89-119

  9. Back Matter

    Pages 202-215
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About this book

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.
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Keywords

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Authors and Affiliations

  • Department of Mathematics and Statistics, Simon Fraser University, Burnaby, Canada

    Anadijiban Das

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Bibliographic Information

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Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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