The Mathematics of Minkowski Space-Time
ISBN: 9783764386146
Platform/Publisher: SpringerLink / Birkhäuser Basel
Digital rights: Users: unlimited; Printing: unlimited; Download: unlimited
Subjects: Mathematics and Statistics;

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.

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