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The Mathematics of Minkowski Space-Time

The Mathematics of Minkowski Space-Time

With an Introduction to Commutative Hypercomplex Numbers

Contenu

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.

Informations bibliographiques

avril 2008, 256 pages, Frontiers in Mathematics, Anglais
Springer Nature EN
978-3-7643-8613-9

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