The Mathematics of Minkowski Space-Time
With an Introduction to Commutative Hypercomplex Numbers
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Beschreibung
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.
Includes supplementary material: sn.pub/extras
Autor*in
Francesco Catoni
Themen in »The Mathematics of Minkowski Space-Time«
Lorentz surfaces Matrix Minkowski space Minkowski space-time gauss differential geometry hyperbolic numbers hypercomplex numbers special relativity twin paradox
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From the reviews:
“It is worth pointing out that the book is mainly a text about commutative hypercomplex numbers and some of their applications to a 2-dimensional Minkowski spacetime. … This book should be interesting to anybody who is interested in applications of hypercomplex numbers … . In conclusion, I recommend this book to anyone who wants to learn about hypercomplex numbers.” (Emanuel Gallo, Mathematical Reviews, Issue 2010 d)
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