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...
| Main Authors: | , , , , , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel :
Birkhäuser Basel,
2008.
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| Series: | Frontiers in Mathematics,
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| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
| 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. |
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| Physical Description: | XIX, 256 p. online resource. |
| ISBN: | 9783764386146 |
| ISSN: | 1660-8046 |