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Cover: 9783764386139 | The Mathematics of Minkowski Space-Time | Francesco Catoni (u. a.)
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The Mathematics of Minkowski Space-Time
With an Introduction to Commutative Hypercomplex Numbers
Taschenbuch von Francesco Catoni (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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).
Details
Erscheinungsjahr: 2008
Fachbereich: Geometrie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xix
256 S.
ISBN-13: 9783764386139
ISBN-10: 3764386134
Sprache: Englisch
Herstellernummer: 12100910
Einband: Kartoniert / Broschiert
Autor: Catoni, Francesco
Boccaletti, Dino
Zampetti, Paolo
Catoni, Vincenzo
Nichelatti, Enrico
Cannata, Roberto
Hersteller: Springer Basel
Birkhäuser Basel
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 244 x 170 x 16 mm
Von/Mit: Francesco Catoni (u. a.)
Erscheinungsdatum: 17.04.2008
Gewicht: 0,488 kg
Artikel-ID: 101946033
Zusammenfassung

Includes supplementary material: [...]

Inhaltsverzeichnis
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).
Details
Erscheinungsjahr: 2008
Fachbereich: Geometrie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xix
256 S.
ISBN-13: 9783764386139
ISBN-10: 3764386134
Sprache: Englisch
Herstellernummer: 12100910
Einband: Kartoniert / Broschiert
Autor: Catoni, Francesco
Boccaletti, Dino
Zampetti, Paolo
Catoni, Vincenzo
Nichelatti, Enrico
Cannata, Roberto
Hersteller: Springer Basel
Birkhäuser Basel
Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße: 244 x 170 x 16 mm
Von/Mit: Francesco Catoni (u. a.)
Erscheinungsdatum: 17.04.2008
Gewicht: 0,488 kg
Artikel-ID: 101946033
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