The Mathematics of Minkowski Space-Time : With an Introduction to Commutative Hypercomplex Numbers
Publication year: 2008
ISBN: 978-3-7643-8614-6
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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.
Subject: Mathematics and Statistics, Lorentz surfaces, Matrix, Minkowski space, Minkowski space-time, gauss differential geometry, hyperbolic numbers, hypercomplex numbers, special relativity, twin paradox
