The Mathematics of Minkowski Space-Time : With an Introduction to Commutative Hypercomplex Numbers
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...
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| Hoofdauteurs: | , , , , , |
|---|---|
| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2008. |
| Reeks: | Frontiers in Mathematics
|
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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L'impression du document génère 265 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The Mathematics of Minkowski Space-Time, Texte imprimé, 9783764394707 • The mathematics of Minkowski space-time, with an introduction to commutative hypercomplex numbers, Francesco Catoni, Dino Boccaletti, Roberto Cannata... [et al.], Basel, Birkhäuser, 2008, 1 vol. (XVIII-255 p.), Frontiers in mathematics, 978-3-7643-8613-9 |
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| 020 | |a 9783764386146 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516 | ||
| 084 | |a 53-01. 2010 | ||
| 084 | |a 83-01. 2010 | ||
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| 100 | 1 | |a Catoni, Francesco, |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a The Mathematics of Minkowski Space-Time : |b With an Introduction to Commutative Hypercomplex Numbers |c Francesco Catoni, Dino Boccaletti, Roberto Cannata... [et al.]. |
| 250 | |a 1st ed. 2008. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Frontiers in Mathematics |x 1660-8054 | |
| 500 | |a L'impression du document génère 265 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |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). | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |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. | ||
| 650 | |a Espaces généralisés | ||
| 650 | |a Nombres hypercomplexes | ||
| 650 | |a Géométrie de Minkowski | ||
| 700 | 1 | |a Boccaletti, Dino. |4 aut | |
| 700 | 1 | |a Cannata, Roberto. |4 aut | |
| 700 | 1 | |a Catoni, Vincenzo. |4 aut | |
| 700 | 1 | |a Nichelatti, Enrico. |4 aut | |
| 700 | 1 | |a Zampetti, Paolo. |4 aut | |
| 776 | 0 | |t The Mathematics of Minkowski Space-Time |b Texte imprimé |z 9783764394707 | |
| 776 | 0 | |0 127282211 |t The mathematics of Minkowski space-time |o with an introduction to commutative hypercomplex numbers |f Francesco Catoni, Dino Boccaletti, Roberto Cannata... [et al.] |c Basel |n Birkhäuser |d 2008 |p 1 vol. (XVIII-255 p.) |s Frontiers in mathematics |z 978-3-7643-8613-9 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-8614-6 |z Accès sur la plateforme de l'éditeur | |
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