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| ISBN: | 9783764386146 |
|---|---|
| Formato: | Page Fidelity |
| Idioma: | Inglés |
| Editorial: | Springer Nature |
| Tema: | Matemáticas |
| Subtema: | Geometría general |
| Año de publicación: | 2008-06-29 |
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.