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Frontiers in Mathematics

The Mathematics of Minkowski Space-Time

With an Introduction to Commutative Hypercomplex Numbers

Authors: Catoni, F., Boccaletti, D., Cannata, R., Catoni, V., Nichelatti, E., Zampetti, 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
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About this book

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.

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 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)

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook n/a
  • ISBN 978-3-7643-8614-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
Softcover n/a
  • ISBN 978-3-7643-8613-9
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematics of Minkowski Space-Time
Book Subtitle
With an Introduction to Commutative Hypercomplex Numbers
Authors
Series Title
Frontiers in Mathematics
Copyright
2008
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8614-6
DOI
10.1007/978-3-7643-8614-6
Softcover ISBN
978-3-7643-8613-9
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XIX, 256
Topics