The Mathematics of Minkowski Space-Time With an Introduction to Commutative Hypercomplex Numbers /

• Κύριοι συγγραφείς: Catoni, Francesco (Συγγραφέας), Boccaletti, Dino (Συγγραφέας), Cannata, Roberto (Συγγραφέας), Catoni, Vincenzo (Συγγραφέας), Nichelatti, Enrico (Συγγραφέας), Zampetti, Paolo (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Birkhäuser Basel, 2008.
• Σειρά: Frontiers in Mathematics,
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Mathematical analysis.; Analysis (Mathematics).; Geometry.; Differential geometry.; Physics.; Differential Geometry.; Mathematical Methods in Physics.; Topological Groups, Lie Groups.; Analysis.
• Φυσική περιγραφή: XIX, 256 p. online resource.
• ISBN: 9783764386146
• ISSN: 1660-8046

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.