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

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...

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Bibliographic Details
Main Authors: Catoni, Francesco (Author), Boccaletti, Dino (Author), Cannata, Roberto (Author), Catoni, Vincenzo (Author), Nichelatti, Enrico (Author), Zampetti, Paolo (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Basel : Birkhäuser Basel, 2008.
Series:Frontiers in Mathematics,
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary: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.
Physical Description:XIX, 256 p. online resource.
ISBN:9783764386146
ISSN:1660-8046