The mathematics of Minkowski space-time
Subtitle: with an introduction to commutative hypercomplex numbers
By: Francesco Catoni ... [et al.].
Contributors: Catoni, Francesco.
Series: Frontiers in mathematics
Publisher: Birkhäuser Verlag
Published: 2008
Place of publication: Basel; Boston
Language: eng
Number of pages: 255
ISBN-13: 9783764386139
Subjects: Generalized spaces; Special relativity (Physics)
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.
Notes: Includes bibliographical references (p. [245]-250) and index.