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The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers 2008th Edition
Author(s): Francesco Catoni (Author), Dino Boccaletti (Author), Roberto Cannata (Author), Vincenzo Catoni (Author), Enrico Nichelatti (Author), Paolo Zampetti (Author)
- Publisher: Birkhäuser
- Publication Date: April 17, 2008
- Edition: 2008th
- Language: English
- Print length: 275 pages
- ISBN-10: 3764386134
- ISBN-13: 9783764386139
Book 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.
Editorial Reviews
Review
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)
