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Record Nr. |
UNINA9910777458603321 |
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Titolo |
The mathematics of Minkowski space-time [[electronic resource] ] : with an introduction to commutative hypercomplex numbers / / Francesco Catoni ... [et al.] |
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Pubbl/distr/stampa |
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Basel ; ; Boston, : Birkhàˆuser, c2008 |
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ISBN |
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1-281-49123-3 |
9786611491239 |
3-7643-8614-2 |
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Edizione |
[1st ed. 2008.] |
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Descrizione fisica |
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1 online resource (271 p.) |
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Collana |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Generalized spaces |
Special relativity (Physics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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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Sommario/riassunto |
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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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