03093nam 2200685Ia 450 991077745860332120200520144314.01-281-49123-397866114912393-7643-8614-210.1007/978-3-7643-8614-6(CKB)1000000000440908(EBL)367551(OCoLC)272306915(SSID)ssj0000199282(PQKBManifestationID)11187638(PQKBTitleCode)TC0000199282(PQKBWorkID)10187952(PQKB)10913434(DE-He213)978-3-7643-8614-6(MiAaPQ)EBC367551(MiAaPQ)EBC5292434(Au-PeEL)EBL367551(CaPaEBR)ebr10239309(CaONFJC)MIL939322(Au-PeEL)EBL5292434(CaONFJC)MIL149123(OCoLC)1028942953(PPN)127052798(EXLCZ)99100000000044090820071207d2008 uy 0engur|n|---|||||txtccrThe mathematics of Minkowski space-time[electronic resource] with an introduction to commutative hypercomplex numbers /Francesco Catoni ... [et al.]1st ed. 2008.Basel ;Boston Birkhäuserc20081 online resource (271 p.)Frontiers in mathematicsDescription based upon print version of record.3-7643-8613-4 Includes bibliographical references and index.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).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.Frontiers in mathematics.Generalized spacesSpecial relativity (Physics)Generalized spaces.Special relativity (Physics)516.374Catoni Francesco1547221MiAaPQMiAaPQMiAaPQBOOK9910777458603321The mathematics of Minkowski space-time3803436UNINA