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|a 9783764386146
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|a 10.1007/978-3-7643-8614-6
|2 doi
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|a (DE-He213)978-3-7643-8614-6
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|2 thema
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| 100 |
1 |
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|a Catoni, Francesco.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 245 |
1 |
4 |
|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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| 250 |
|
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|a 1st ed. 2008.
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| 264 |
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1 |
|a Basel :
|b Birkhäuser Basel :
|b Imprint: Birkhäuser,
|c 2008.
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| 300 |
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|a XIX, 256 p.
|b online resource.
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
|b cr
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| 347 |
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|a text file
|b PDF
|2 rda
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| 490 |
1 |
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|a Frontiers in Mathematics,
|x 1660-8046
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| 490 |
1 |
|
|a Springer eBook Collection
|
| 505 |
0 |
|
|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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| 520 |
|
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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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| 590 |
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|a Loaded electronically.
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| 590 |
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|a Electronic access restricted to members of the Holy Cross Community.
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| 650 |
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0 |
|a Geometry.
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| 650 |
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0 |
|a Differential geometry.
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| 650 |
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0 |
|a Physics.
|
| 650 |
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0 |
|a Topological groups.
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| 650 |
|
0 |
|a Lie groups.
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| 650 |
|
0 |
|a Mathematical analysis.
|
| 650 |
|
0 |
|a Analysis (Mathematics).
|
| 690 |
|
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|a Electronic resources (E-books)
|
| 700 |
1 |
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|a Boccaletti, Dino.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 700 |
1 |
|
|a Cannata, Roberto.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 700 |
1 |
|
|a Catoni, Vincenzo.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 700 |
1 |
|
|a Nichelatti, Enrico.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 700 |
1 |
|
|a Zampetti, Paolo.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
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|t Springer eBooks
|
| 830 |
|
0 |
|a Frontiers in Mathematics,
|x 1660-8046
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| 830 |
|
0 |
|a Springer eBook Collection.
|
| 856 |
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|u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/978-3-7643-8614-6
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