Geometry of Minkowski Space-Time

• Main Authors: Catoni, Francesco (Author), Boccaletti, Dino (Author), Cannata, Roberto (Author), Catoni, Vincenzo (Author), Zampetti, Paolo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: SpringerBriefs in Physics
• Subjects: Physics.; Applied mathematics.; Engineering mathematics.; Gravitation.; Theoretical, Mathematical and Computational Physics.; Applications of Mathematics.; Classical and Quantum Gravitation, Relativity Theory.

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...

Table of Contents:

• 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.