The Mathematics of Minkowski Space-Time
With an Introduction to Commutative Hypercomplex Numbers| By: | Francesco Catoni; Dino Boccaletti; Roberto Cannata; Vincenzo Catoni; Enrico Nichelatti; Paolo Zampet |
| Publisher: | Springer Nature |
| Print ISBN: | 9783764386139 |
| eText ISBN: | 9783764386146 |
| Edition: | 0 |
| Copyright: | 2008 |
| Format: | Page Fidelity |
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Table of Contents
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.