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1 Introduction 1
2 N-Dimensional Commutative Hypercomplex Numbers 5
3 The Geometries Generated by Hypercomplex Numbers 19
4 Trigonometry in the Minkowski Plane 27
5 Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox) 57
6 General Two-Dimensional Hypercomplex Numbers 73
7 Functions of a Hyperbolic Variable 87
8 Hyperbolic Variables on Lorentz Surfaces 119
9 Constant Curvature Lorentz Surfaces 137
10 Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle) 161
App. A Commutative Segre's Quaternions 169
App. B Constant Curvature Segre's Quaternion Spaces 199
App. C Matrix Formalization for Commutative Numbers 213
Bibliography 245
Index 251
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Dawn Benoit
reviewed The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers on July 25, 2011
The Mathematics of Minkowski Space-Time
Fine book for beginners of physics background. It did not go so deep into the topic. It explains relativity in chronological order of discoveries and also gives its historical background. Even for people with no background in mathematics and physics, it is interesting in the way, historical facts and concepts are cogently described.
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Add The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers, This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensive, The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers to the inventory that you are selling on WonderClubX
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Add The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers, This book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensive, The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers to your collection on WonderClub |