pdf | 14.67 MB | English | Isbn:9783764386139 | Author: Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Enrico Nichelatti | Year: 2008

About ebook: 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.
Category:Science & Technology, Mathematics, Physics, Theories of Science, Mathematical Spaces, Mathematics - Sets, General Topology, & Categories, Theory of Relativity