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.
| Autorius: | Francesco Catoni, Dino Boccaletti, Paolo Zampetti, Vincenzo Catoni, Enrico Nichelatti, Roberto Cannata, |
| Serija: | Frontiers in Mathematics |
| Leidėjas: | Birkhäuser Basel |
| Išleidimo metai: | 2008 |
| Knygos puslapių skaičius: | 280 |
| ISBN-10: | 3764386134 |
| ISBN-13: | 9783764386139 |
| Formatas: | Knyga minkštu viršeliu |
| Kalba: | Anglų |
| Žanras: | Differential and Riemannian geometry |
Parašykite atsiliepimą apie „The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers“
