The Mathematics of Minkowski Space-Time With an Introduction to Commutative Hypercomplex Numbers
Description
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.
Keywords
MathematicsGeometryDifferentialSciencePhysicsMathematical & ComputationalGroup TheoryMathematical AnalysisCalculus
2008Book
Author(s)Francesco Catoni
PublisherBirkhäuser Basel
ISBN9783764386139
LanguageEnglish
