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The Mathematics of Minkowski Space-Time

With an Introduction to Commutative Hypercomplex Numbers

The Mathematics of Minkowski Space-Time by Francesco Catoni
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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.

Birkhäuser Basel; June 2008
271 pages; ISBN 9783764386146
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Title: The Mathematics of Minkowski Space-Time
Author: Francesco Catoni; Dino Boccaletti; Roberto Cannata; Vincenzo Catoni; Enrico Nichelatti; Paolo Zampetti
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