The mathematics of Minkowski space-time : with an introduction to commutative hypercomplex numbers

The mathematics of Minkowski space-time : with an introduction to commutative hypercomplex numbers /

Hyperbolic numbers are proposed for a rigorous geometric formalization of the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers as a simple extension of the field of complex numbers is extensively studied in the book. In particular, an exhaustive solution of...

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Bibliographic Details
Online Access: Full text (MCPHS users only)
Other Authors: Catoni, Francesco
Format: Electronic eBook
Language:English
Published: Basel ; Boston : Birkhäuser, 2008
Series:Frontiers in mathematics.
Subjects:
Generalized spaces.
Special relativity (Physics)
Local Note:ProQuest Ebook Central
Table of Contents:
  • N-dimensional communicative hypercomplex numbers
  • The geometries generated by hypercomplex numbers
  • Trigonometry in the Minkowski plane
  • Uniform and accelerated motions in the Minkowski space-time (twin paradox)
  • General two-dimensional hypercomplex numbers
  • Functions of a hyperbolic variable
  • Hyperbolic variables on Lorentz surfaces
  • Constant curvature Lorentz surfaces
  • Generalization of two-dimensional special relativity (hyperbolic transformations and the equivalence principle).

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