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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: | 244 x 170 x 16 mm. Knyga minkštu viršeliu |
Kalba: | Anglų |
Parašykite atsiliepimą apie „The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers“