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03115nam a22006135i 4500 |
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978-3-7643-8614-6 |
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DE-He213 |
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20151204165700.0 |
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cr nn 008mamaa |
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100301s2008 sz | s |||| 0|eng d |
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|a 9783764386146
|9 978-3-7643-8614-6
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|a 10.1007/978-3-7643-8614-6
|2 doi
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|d GrThAP
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|a QA440-699
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|a PBM
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|a MAT012000
|2 bisacsh
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|a 516
|2 23
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|a Catoni, Francesco.
|e author.
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|a The Mathematics of Minkowski Space-Time
|h [electronic resource] :
|b With an Introduction to Commutative Hypercomplex Numbers /
|c by Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Enrico Nichelatti, Paolo Zampetti.
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| 264 |
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|a Basel :
|b Birkhäuser Basel,
|c 2008.
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| 300 |
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|a XIX, 256 p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Frontiers in Mathematics,
|x 1660-8046
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|a 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).
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|a 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.
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|a Mathematics.
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| 650 |
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|a Topological groups.
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| 650 |
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|a Lie groups.
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|a Mathematical analysis.
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| 650 |
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|a Analysis (Mathematics).
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| 650 |
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|a Geometry.
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| 650 |
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|a Differential geometry.
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| 650 |
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|a Physics.
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| 650 |
1 |
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|a Mathematics.
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|a Geometry.
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| 650 |
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|a Differential Geometry.
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| 650 |
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4 |
|a Mathematical Methods in Physics.
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| 650 |
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|a Topological Groups, Lie Groups.
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| 650 |
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|a Analysis.
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| 700 |
1 |
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|a Boccaletti, Dino.
|e author.
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| 700 |
1 |
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|a Cannata, Roberto.
|e author.
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| 700 |
1 |
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|a Catoni, Vincenzo.
|e author.
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| 700 |
1 |
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|a Nichelatti, Enrico.
|e author.
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| 700 |
1 |
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|a Zampetti, Paolo.
|e author.
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| 710 |
2 |
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|a SpringerLink (Online service)
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|t Springer eBooks
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| 776 |
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|i Printed edition:
|z 9783764386139
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| 830 |
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|a Frontiers in Mathematics,
|x 1660-8046
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| 856 |
4 |
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|u http://dx.doi.org/10.1007/978-3-7643-8614-6
|z Full Text via HEAL-Link
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| 912 |
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|a ZDB-2-SMA
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| 950 |
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|a Mathematics and Statistics (Springer-11649)
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