The Mathematics of Minkowski Space-Time
With an Introduction to Commutative Hypercomplex Numbers
1st Edition
Published on 29. June 2008
XIX, 256 pages
978-3-7643-8614-6 (ISBN)
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.
Reviews / Votes
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)More details
Other editions
Additional editions
Francesco Catoni | Dino Boccaletti | Roberto Cannata
The Mathematics of Minkowski Space-Time
With an Introduction to Commutative Hypercomplex Numbers
Book
04/2008
Birkhäuser
€58.84
Shipment within 10-15 days
Content
N-Dimensional Commutative Hypercomplex Numbers.- The Geometries Generated by Hypercomplex Numbers.- Trigonometry in the Minkowski Plane.- Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox).- General Two-Dimensional Hypercomplex Numbers.- Functions of a Hyperbolic Variable.- Hyperbolic Variables on Lorentz Surfaces.- Constant Curvature Lorentz Surfaces.- Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle).
