The Mathematics of Minkowski Space-Time
With an Introduction to Commutative Hypercomplex Numbers
Published on 17. April 2008
Book
Paperback/Softback
XIX, 256 pages
978-3-7643-8613-9 (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
Series
Edition
2008 ed.
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
XIX, 256 p.
Dimensions
Height: 244 mm
Width: 170 mm
Thickness: 16 mm
Weight
488 gr
ISBN-13
978-3-7643-8613-9 (9783764386139)
DOI
10.1007/978-3-7643-8614-6
Schweitzer Classification
Other editions
Additional editions
Francesco Catoni | Dino Boccaletti | Roberto Cannata
The Mathematics of Minkowski Space-Time
With an Introduction to Commutative Hypercomplex Numbers
E-Book
06/2008
1st Edition
Birkhäuser
€58.84
Available for download
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).