The Mathematics of Minkowski Space-Time : With an Introduction to Commutative Hypercomplex Numbers / by Francesco Catoni, Dino Boccaletti, Roberto Cannata, Vincenzo Catoni, Enrico Nichelatti, Paolo Zampetti
(Frontiers in Mathematics)
| データ種別 | 電子ブック |
|---|---|
| 出版者 | Basel : Birkhäuser Basel |
| 出版年 | 2008 |
| 本文言語 | 英語 |
| 大きさ | XIX, 256 p : online resource |
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| 内容注記 | 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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| 一般注記 | 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 |
| 著者標目 | *Catoni, Francesco author Boccaletti, Dino author Cannata, Roberto author Catoni, Vincenzo author Nichelatti, Enrico author Zampetti, Paolo author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Topological groups LCSH:Lie groups LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Geometry LCSH:Differential geometry LCSH:Physics FREE:Mathematics FREE:Geometry FREE:Differential Geometry FREE:Mathematical Methods in Physics FREE:Topological Groups, Lie Groups FREE:Analysis |
| 分 類 | DC23:516 |
| 巻冊次 | ISBN:9783764386146 
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| ISBN | 9783764386146 |
| URL | http://dx.doi.org/10.1007/978-3-7643-8614-6 |
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