The Mathematics of Minkowski Space-Time E-Book

Francesco Catoni

• Herausgeber: Springer Basel
• Kategorie: Wissenschaft und neue Technologien
• Serie: Frontiers in Mathematics
• Sprache: Englisch

Veröffentlichungsjahr: 2008

Beschreibung

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.