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

The Mathematics of Minkowski Space-Time

With an Introduction to Commutative Hypercomplex Numbers

Catoni, F., Boccaletti, D., Cannata, R., Catoni, V., Nichelatti, E., Zampetti, P.

2008, XIX, 256 p.

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  • Simplest extension of complex numbers, an immediate and complete formalization of two-dimensional space-time geometry and trigonometry
  • Results extended for studying non-flat varieties in space-time
  • Stimulating the investigation of multidimensional systems of numbers
  • Commutative systems with four unities are studied

This book arose out of original research by the authors on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity.

The system of hyperbolic numbers (the simplest extension of complex numbers) is extensively studied and applied to typical instances such as the ‘twin-paradox’, and a plain exposition of space-time geometry and trigonometry is given.

The application of hyperbolic numbers to Special Relativity suggests trying the possible application of multidimensional hypercomplex systems.

Commutative hypercomplex systems with four unities are studied and attention is drawn to their interesting properties.

Content Level » Research

Keywords » Lorentz surfaces - Matrix - Minkowski space - Minkowski space-time - gauss differential geometry - hyperbolic numbers - hypercomplex numbers - special relativity - twin paradox

Related subjects » Birkhäuser Mathematics - Birkhäuser Physics

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