The Mathematics of Minkowski Space-Time With an Introduction to Commutative Hypercomplex Numbers
by
Catoni, Francesco. author.
Title
:
The Mathematics of Minkowski Space-Time With an Introduction to Commutative Hypercomplex Numbers
Author
:
Catoni, Francesco. author.
ISBN
:
9783764386146
Personal Author
:
Catoni, Francesco. author.
Physical Description
:
XIX, 256 p. online resource.
Series
:
Frontiers in Mathematics,
Contents
:
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).
Abstract
:
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.
Subject Term
:
Mathematics.
Topological Groups.
Global analysis (Mathematics).
Geometry.
Global differential geometry.
Mathematical physics.
Differential Geometry.
Mathematical Methods in Physics.
Topological Groups, Lie Groups.
Analysis.
Added Author
:
Boccaletti, Dino.
Cannata, Roberto.
Catoni, Vincenzo.
Nichelatti, Enrico.
Zampetti, Paolo.
Added Corporate Author
:
SpringerLink (Online service)
Electronic Access
:
Library | Material Type | Item Barcode | Shelf Number | Status |
---|
IYTE Library | E-Book | 503913-1001 | QA440 -699 | Online Springer |