This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensively studied, and a plain exposition of space-time geometry and trigonometry is given. Commutative hypercomplex systems with four unities are studied and attention is drawn to their interesting properties.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9783764386139
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Taschenbuch. Zustand: Neu. The Mathematics of Minkowski Space-Time | With an Introduction to Commutative Hypercomplex Numbers | Francesco Catoni (u. a.) | Taschenbuch | Frontiers in Mathematics | xix | Englisch | 2008 | Birkhäuser | EAN 9783764386139 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Artikel-Nr. 101946033
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