Understanding quaternions
著者
書誌事項
Understanding quaternions
(Mathematics research developments series)
Nova Science Publishers, c2020
- pbk.
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注記
"Quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton. They form an interesting algebra where each object contains 4 scalar variables, instead of Euler angles, which is useful to overcome the gimbal lock phenomenon when treating the rotation of objects. This book is about the mathematical basics and applications of quaternions. The first four chapters mainly concerns the mathematical theories, while the latter three chapters are related with three application aspects. It is expected to provide useful clues for researchers and engineers in the related area" -- Preface
Includes bibliographical references and index
内容説明・目次
内容説明
目次
- Preface
- Mathematical Basics and Applications of Quaternions
- Understanding Quaternions from Modern Algebra and Theoretical Physics
- Solutions with Spherical Symmetry of the Equation for a Spin 3/2 Particle
- Spinor Maxwell Equations in Riemannian Space-Time and Modeling Constitutive Relations
- Understanding Quaternions: Applications for Rigid Body Motion Predictions with CFD
- Applications for the Ballast-Flight
- Applications for the Stability of Caisson-Type Breakwaters
- Index.
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