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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.

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.

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.

Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the 19th century - a feat he celebrated by carving the founding equations into a stone bridge - mathematicians and engineers have been fascinated by these mathematical objects. They are... 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.

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.

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.

After the Exomoon bombs hit Hollandus Landing there was so much speculation as to what happened. What the media didn t report right away was other towns across the Illinois Wisconsin border had their own Exomoon attacks there. This was a job for the United Omniversal... Lees meer.

Truth is Beauty and Beauty is Truth. A Four dimensional Theory of Physics for the Four Dimensional Cosmos. Physics for the engineers of the future.... Lees meer.

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Vector Analysis and Quaternions by Alexander Macfarlane By Vector Analysis is meant a space analysis in which the vector is the fundamental idea by Quaternions is meant a space-analysis in which the quaternion is the fundamental idea. They are in truth complemen... Lees meer.

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