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商品詳細
The Mathematics of Minkowski Space-Time : With an Introduction to Commutative Hypercomplex Numbers. 2008 ed..
・ISBN 978-3-7643-8613-9 paper
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| 著者・編者 | Catoni, Francesco / Boccaletti, Dino / Cannata, Roberto / Catoni, Vincenzo / Nichelatti, Enrico / Zampetti, Paolo, |
|---|---|
| シリーズ | Frontiers in Mathematics |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2008 |
| ページ数 | 256 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-22102＞ |
解説
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.