The Mathematics of Minkowski Space-Time With an Introduction to Commutative Hypercomplex Numbers /

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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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Catoni, Francesco (Author), Boccaletti, Dino (Author), Cannata, Roberto (Author), Catoni, Vincenzo (Author), Nichelatti, Enrico (Author), Zampetti, Paolo (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2008.
Edition:1st ed. 2008.
Series:Frontiers in Mathematics,
Subjects:
Geometry.
Geometry, Differential.
Mathematical physics.
Topological groups.
Lie groups.
Mathematical analysis.
Differential Geometry.
Mathematical Methods in Physics.
Topological Groups and Lie Groups.
Analysis.
Online Access:Texto Completo
Table of 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).

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