Cargando…
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2008.
|
| Edición: | 1st ed. 2008. |
| Colección: | Frontiers in Mathematics,
|
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-7643-8614-6 | ||
| 003 | DE-He213 | ||
| 005 | 20220112190409.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2008 sz | s |||| 0|eng d | ||
| 020 | |a 9783764386146 |9 978-3-7643-8614-6 | ||
| 024 | 7 | |a 10.1007/978-3-7643-8614-6 |2 doi | |
| 050 | 4 | |a QA440-699 | |
| 072 | 7 | |a PBM |2 bicssc | |
| 072 | 7 | |a MAT012000 |2 bisacsh | |
| 072 | 7 | |a PBM |2 thema | |
| 082 | 0 | 4 | |a 516 |2 23 |
| 100 | 1 | |a Catoni, Francesco. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 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. |
| 250 | |a 1st ed. 2008. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2008. | |
| 300 | |a XIX, 256 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 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). | |
| 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 | 0 | |a Geometry. | |
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Mathematical analysis. | |
| 650 | 1 | 4 | |a Geometry. |
| 650 | 2 | 4 | |a Differential Geometry. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Topological Groups and Lie Groups. |
| 650 | 2 | 4 | |a Analysis. |
| 700 | 1 | |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 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764394707 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764386139 |
| 830 | 0 | |a Frontiers in Mathematics, |x 1660-8054 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-7643-8614-6 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||