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The mathematics of Minkowski space-time :: with an introduction to commutative hypercomplex numbers

Imagen de portada del libro The mathematics of Minkowski space-time :

Información General

  • Autores: Francesco Catoni
  • Editores: Basel : Birkhäuser Verlag, cop. 2008
  • Año de publicación: 2008
  • País: Suiza
  • Idioma: inglés
  • ISBN: 978-3-7643-8613-9
  • Texto completo no disponible (Saber más ...)

Resumen

  • 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.

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