This book discusses all spacecraft attitude control related topics. spacecraft modeling spacecraft attitude determination and estimation and spacecraft attitude controls. It also presents a brief background on rotation sequence representations and often-used referenc... Lees meer.
This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders a subject with applications in diverse areas of mathematics. This open access textbook presents a comprehensive treatment of the arithmetic theory... Lees meer.
Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrice... Lees meer.
An investigation of the geometry of quaternion and octonion algebras this text is intended for mathematicians who are interested in the symmetries of low-dimensional space. Topics covered include Moufang loops integral octonions and the octonion projective plane.... Lees meer.
This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders a subject with applications in diverse areas of mathematics. This open access textbook presents a comprehensive treatment of the arithmetic theory... Lees meer.
Introduces quaternions for scientists and engineers and shows how they can be used in a variety of practical situations. This book is primarily an exposition of the quaternion a 4-tuple and its primary application in a rotation operator. It also presents the conventi... Lees meer.
If you have ever wondered what quaternions are then look no further John Vince will show you how simple and useful they are. If you have ever wondered what quaternions are then look no further John Vince will show you how simple and useful they are. This 2nd edi... Lees meer.
The Hamiltonian which is used in quantum physics to describe the total energy of a system would have been a major achievement for anyone but Hamilton also invented quaternions which paved the way for modern vector analysis. Sir William Rowan Hamilton was a genius... Lees meer.