The Mathematics of Minkowski Space-Time
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.
Simplest extension of complex numbers, an immediate and complete formalization of two-dimensional space-time geometry and trigonometry Results extended for studying non-flat varieties in space-time Stimulating the investigation of multidimensional systems of numbers Commutative systems with four unities are studied