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Titolo: | The mathematics of Minkowski space-time [[electronic resource] ] : with an introduction to commutative hypercomplex numbers / / Francesco Catoni ... [et al.] |
Pubblicazione: | Basel ; ; Boston, : Birkhäuser, c2008 |
Edizione: | 1st ed. 2008. |
Descrizione fisica: | 1 online resource (271 p.) |
Disciplina: | 516.374 |
Soggetto topico: | Generalized spaces |
Special relativity (Physics) | |
Altri autori: | CatoniFrancesco |
Note generali: | Description based upon print version of record. |
Nota di bibliografia: | Includes bibliographical references and index. |
Nota di contenuto: | 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). |
Sommario/riassunto: | 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. |
Titolo autorizzato: | The mathematics of Minkowski space-time |
ISBN: | 1-281-49123-3 |
9786611491239 | |
3-7643-8614-2 | |
Formato: | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione: | Inglese |
Record Nr.: | 9910777458603321 |
Lo trovi qui: | Univ. Federico II |
Opac: | Controlla la disponibilità qui |