Mathematics of Minkowski Space-Time

With an Introduction to Commutative Hypercomplex Numbers

AvFrancesco Catoni,Dino Boccaletti

Häftad, Engelska, 2008

Del i serien Frontiers in Mathematics

587 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2008-04-17
Mått:170 x 244 x 16 mm
Vikt:488 g
Format:Häftad
Språk:Engelska
Serie:Frontiers in Mathematics
Antal sidor:256
Upplaga:2008
Förlag:Birkhauser Verlag AG
ISBN:9783764386139

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Recensioner i media

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)

Innehållsförteckning

N-Dimensional Commutative Hypercomplex Numbers.- The Geometries Generated by Hypercomplex Numbers.- Trigonometry in the Minkowski Plane.- Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox).- General Two-Dimensional Hypercomplex Numbers.- Functions of a Hyperbolic Variable.- Hyperbolic Variables on Lorentz Surfaces.- Constant Curvature Lorentz Surfaces.- Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle).