The Mathematics of Minkowski SpaceTime
With an Introduction to Commutative Hypercomplex Numbers
Authors: Catoni, F., Boccaletti, D., Cannata, R., Catoni, V., Nichelatti, E., Zampetti, P.
Free Preview Simplest extension of complex numbers, an immediate and complete formalization of twodimensional spacetime geometry and trigonometry
 Results extended for studying nonflat varieties in spacetime
 Stimulating the investigation of multidimensional systems of numbers
 Commutative systems with four unities are studied
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 About this book

Hyperbolic numbers are proposed for a rigorous geometric formalization of the spacetime symmetry of twodimensional 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 spacetime geometry and trigonometry. Finally, an appendix on general properties of commutative hypercomplex systems with four unities is presented.
 Reviews

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 2dimensional 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)
 Table of contents (10 chapters)


Introduction
Pages 13

NDimensional Commutative Hypercomplex Numbers
Pages 517

The Geometries Generated by Hypercomplex Numbers
Pages 1925

Trigonometry in the Minkowski Plane
Pages 2756

Uniform and Accelerated Motions in the Minkowski SpaceTime (Twin Paradox)
Pages 5772

Table of contents (10 chapters)
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Bibliographic Information
 Bibliographic Information

 Book Title
 The Mathematics of Minkowski SpaceTime
 Book Subtitle
 With an Introduction to Commutative Hypercomplex Numbers
 Authors

 Francesco Catoni
 Dino Boccaletti
 Roberto Cannata
 Vincenzo Catoni
 Enrico Nichelatti
 Paolo Zampetti
 Series Title
 Frontiers in Mathematics
 Copyright
 2008
 Publisher
 Birkhäuser Basel
 Copyright Holder
 Birkhäuser Basel
 eBook ISBN
 9783764386146
 DOI
 10.1007/9783764386146
 Softcover ISBN
 9783764386139
 Series ISSN
 16608046
 Edition Number
 1
 Number of Pages
 XIX, 256
 Topics