The mathematics of Minkowski space-time

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 the "twin paradox" is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.

Year

2008

Language

English

Series

Frontiers in mathematics

Publisher

Birkhäuser Verlag

Editions

3

Pages

255

ISBN

9783764386139

Data source: Wikidata