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
• Serie: Frontiers in mathematics.