The Mathematics of Minkowski Space-Time : With an Introduction to Commutative Hypercomplex Numbers

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.