Frontiers in Mathematics: With an Introduction to Commutative Hypercomplex Numbers

Catoni, Francesco; Boccaletti, Dino; Cannata, Roberto; Catoni, Vincenzo; Nichelatti, Enrico; Zampetti, Paolo

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.

Details

Published by: Birkhäuser

Publication Date: 2008-04-17

Format: Paperback

ISBN-13: 9783764386139

DOI: 10.1007/978-3-7643-8614-6

Dimensions: 244cm x170cm

Pages: 256