The Mathematics of Minkowski Space-Time von Francesco Catoni | With an Introduction to Commutative Hypercomplex Numbers | ISBN 9783764386146

The Mathematics of Minkowski Space-Time

With an Introduction to Commutative Hypercomplex Numbers

von Francesco Catoni und weiteren
Mitwirkende
Autor / AutorinFrancesco Catoni
Autor / AutorinDino Boccaletti
Autor / AutorinRoberto Cannata
Autor / AutorinVincenzo Catoni
Autor / AutorinEnrico Nichelatti
Autor / AutorinPaolo Zampetti
Buchcover The Mathematics of Minkowski Space-Time | Francesco Catoni | EAN 9783764386146 | ISBN 3-7643-8614-2 | ISBN 978-3-7643-8614-6
Leseprobe

From the reviews:

“It is worth pointing out that the book is mainly a text about commutative hypercomplex numbers and some of their applications to a 2-dimensional Minkowski spacetime. … This book should be interesting to anybody who is interested in applications of hypercomplex numbers … . In conclusion, I recommend this book to anyone who wants to learn about hypercomplex numbers.” (Emanuel Gallo, Mathematical Reviews, Issue 2010 d)

The Mathematics of Minkowski Space-Time

With an Introduction to Commutative Hypercomplex Numbers

von Francesco Catoni und weiteren
Mitwirkende
Autor / AutorinFrancesco Catoni
Autor / AutorinDino Boccaletti
Autor / AutorinRoberto Cannata
Autor / AutorinVincenzo Catoni
Autor / AutorinEnrico Nichelatti
Autor / AutorinPaolo Zampetti

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 book. In particular, an exhaustive solution of the „twin paradox“ is given, followed by a detailed exposition of space-time geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.