Quaternions and Rotation Sequences : : A Primer with Applications to Orbits, Aerospace and Virtual Reality / / J. B. Kuipers.
Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in application...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2020] ©1999 |
| Year of Publication: | 2020 |
| Language: | English |
| Online Access: | |
| Physical Description: | 1 online resource (400 p.) :; 121 figures |
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Table of Contents:
- Frontmatter
- Contents
- List of Figures
- About This Book
- Acknowledgements
- Chapter 1. Historical Matters
- Chapter 2. Algebraic Preliminaries
- Chapter 3. Rotations in 3-space
- Chapter 4. Rotation Sequences in R3
- Chapter 5. Quaternion Algebra
- Chapter 6. Quaternion Geometry
- Chapter 7. Algorithm Summary
- Chapter 8. Quaternion Factors
- Chapter 9. More Quaternion Applications
- Chapter 10. Spherical Trigonometry
- Chapter 11. Quaternion Calculus for Kinematics and Dynamics
- Chapter 12. Rotations in Phase Space
- Chapter 13. A Quaternion Process
- Chapter 14. Computer Graphics
- Further Reading and Some Personal References
- Index