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Geometry of Minkowski Space-Time
Taschenbuch von Francesco Catoni (u. a.)
Sprache: Englisch

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Beschreibung
This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry.

The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions.

The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time.

Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields.

This book provides an original introduction to the geometry of Minkowski space-time. A hundred years after the space-time formulation of special relativity by Hermann Minkowski, it is shown that the kinematical consequences of special relativity are merely a manifestation of space-time geometry.

The book is written with the intention of providing students (and teachers) of the first years of University courses with a tool which is easy to be applied and allows the solution of any problem of relativistic kinematics at the same time. The book treats in a rigorous way, but using a non-sophisticated mathematics, the Kinematics of Special Relativity. As an example, the famous "Twin Paradox" is completely solved for all kinds of motions.

The novelty of the presentation in this book consists in the extensive use of hyperbolic numbers, the simplest extension of complex numbers, for a complete formalization of the kinematics in the Minkowski space-time.

Moreover, from this formalization the understanding of gravity comes as a manifestation of curvature of space-time, suggesting new research fields.

Inhaltsverzeichnis
Introduction.- Hyperbolic Numbers.- Geometrical Representation of Hyperbolic Numbers.- Trigonometry in the Hyperbolic (Minkowski) Plane.- Equilateral Hyperbolas and Triangles in the Hyperbolic Plane.- The Motions in Minkowski Space-Time (Twin Paradox).- Some Final Considerations.
Details
Erscheinungsjahr: 2011
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 116
Inhalt: viii
116 S.
28 s/w Illustr.
116 p. 28 illus.
ISBN-13: 9783642179761
ISBN-10: 3642179762
Sprache: Englisch
Herstellernummer: 978-3-642-17976-1
Autor: Catoni, Francesco
Boccaletti, Dino
Cannata, Roberto
Catoni, Vincenzo
Zampetti, Paolo
Hersteller: Springer
Springer, Berlin
Springer Berlin Heidelberg
Abbildungen: VIII, 116 p. 28 illus.
Maße: 8 x 157 x 238 mm
Von/Mit: Francesco Catoni (u. a.)
Erscheinungsdatum: 11.03.2011
Gewicht: 0,201 kg
preigu-id: 107013542
Inhaltsverzeichnis
Introduction.- Hyperbolic Numbers.- Geometrical Representation of Hyperbolic Numbers.- Trigonometry in the Hyperbolic (Minkowski) Plane.- Equilateral Hyperbolas and Triangles in the Hyperbolic Plane.- The Motions in Minkowski Space-Time (Twin Paradox).- Some Final Considerations.
Details
Erscheinungsjahr: 2011
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 116
Inhalt: viii
116 S.
28 s/w Illustr.
116 p. 28 illus.
ISBN-13: 9783642179761
ISBN-10: 3642179762
Sprache: Englisch
Herstellernummer: 978-3-642-17976-1
Autor: Catoni, Francesco
Boccaletti, Dino
Cannata, Roberto
Catoni, Vincenzo
Zampetti, Paolo
Hersteller: Springer
Springer, Berlin
Springer Berlin Heidelberg
Abbildungen: VIII, 116 p. 28 illus.
Maße: 8 x 157 x 238 mm
Von/Mit: Francesco Catoni (u. a.)
Erscheinungsdatum: 11.03.2011
Gewicht: 0,201 kg
preigu-id: 107013542
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