| The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers 2008 Edition Contributor(s): Catoni, Francesco (Author), Boccaletti, Dino (Author), Cannata, Roberto (Author) |
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ISBN: 3764386134 ISBN-13: 9783764386139 Publisher: Birkhauser OUR PRICE: $56.99 Product Type: Paperback - Other Formats Published: April 2008 Annotation: This book arose out of original researches of the authors on the extension of well-established applications of complex numbers, related to Euclidean geometry, to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers (the simplest extension of complex numbers) is extensively studied and applied to to typical instances as the ??twin-paradox?? and a plain exposition of space-time geometry and trigonometry is given. The application of hyperbolic numbers to Special Relativity suggest trying the possible application of multidimensional hypercomplex systems. Commutative hypercomplex systems with four unities are studied and attention is drown on their interesting properties. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Differential - Mathematics | Group Theory - Mathematics | Mathematical Analysis |
| Dewey: 516.374 |
| Series: Frontiers in Mathematics |
| Physical Information: 0.6" H x 6.6" W x 9.4" (1.20 lbs) 256 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |