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The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers
Paperback
Series: Frontiers in Mathematics
ISBN13: 9783764386139
Publisher: Springer Nature
Published: Apr 17 2008
Pages: 256
Weight: 1.20
Height: 0.60 Width: 6.60 Depth: 9.40
Language: English
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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