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.

  • 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)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-3-7643-8614-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA
  • ISBN 978-3-7643-8613-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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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