The Mathematics of Minkowski Space-Time With an Introduction to Comm
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 b
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Advisory Editorial Board Leonid Bunimovich (Georgia Institute of Technology, Atlanta, USA) Benoît Perthame (Ecole Normale Supérieure, Paris, France) Laurent Saloff-Coste (Cornell University, Rhodes Hall, USA) Igor Shparlinski (Macquarie University, New South Wales, Australia) Wolfgang Sprössig (TU Bergakademie, Freiberg, Germany) Cédric Villani (Ecole Normale Supérieure, Lyon, France)
Francesco Catoni Dino Boccaletti Roberto Cannata Vincenzo Catoni Enrico Nichelatti Paolo Zampetti
The Mathematics of
Minkowski Space-Time
With an Introduction to Commutative Hypercomplex Numbers
Birkhäuser Verlag Basel . Boston . Berlin
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Non omnes arbusta iuvant humilesque myricae To our friend and colleague Mario Lizzi, who always strove for a non-humdrum life, for his fundamental help in all the steps of our research.
Preface This book arises from original research of the authors on hypercomplex numbers and their applications ([8] and [15]–[23]). Their research concerns extensions to more general number systems of both well-established applications of complex numbers and of functions of a complex variable. Before introducing the contents of the book, we briefly recall the epistemological relevance of Number in
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