The Mathematics of Minkowski Space-Time
Autor: | Boccaletti, Dino Cannata, Roberto Catoni, Francesco Catoni, Vincenzo Nichelatti, Enrico Zampetti, Paolo |
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EAN: | 9783764386139 |
Sachgruppe: | Mathematik |
Sprache: | Englisch |
Seitenzahl: | 280 |
Produktart: | Kartoniert / Broschiert |
Veröffentlichungsdatum: | 17.04.2008 |
Untertitel: | With an Introduction to Commutative Hypercomplex Numbers |
Schlagworte: | Differenzialgeometrie Geometrie / Differenzialgeometrie Raum-Zeit Zeit / Raum-Zeit |
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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.