Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Frontiers in Mathematics (FM)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
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Bibliographic Information
Book Title: The Mathematics of Minkowski Space-Time
Book Subtitle: With an Introduction to Commutative Hypercomplex Numbers
Authors: Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Enrico Nichelatti, Paolo Zampetti
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-7643-8614-6
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2008
Softcover ISBN: 978-3-7643-8613-9Published: 17 April 2008
eBook ISBN: 978-3-7643-8614-6Published: 29 June 2008
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: XIX, 256
Topics: Geometry, Differential Geometry, Mathematical Methods in Physics, Topological Groups, Lie Groups, Analysis