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Rotations, Quaternions, and Double Groups
Language: en
Pages: 315
Authors: Simon L. Altmann
Categories: Mathematics
Type: BOOK - Published: 2013-04-09 - Publisher: Courier Corporation

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This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a r
Quaternions and Rotation Sequences
Language: en
Pages: 398
Authors: J. B. Kuipers
Categories: Mathematics
Type: BOOK - Published: 1999 - Publisher: Princeton University Press

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The book is an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and
Quaternions and Rotation Sequences
Language: en
Pages: 396
Authors: J. B. Kuipers
Categories: Mathematics
Type: BOOK - Published: 2020-03-31 - Publisher: Princeton University Press

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Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equatio
Visualizing Quaternions
Language: en
Pages: 530
Authors: Andrew J. Hanson
Categories: Mathematics
Type: BOOK - Published: 2006-02-06 - Publisher: Elsevier

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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
Understanding Quaternions
Language: en
Pages: 197
Authors: Peng Du
Categories: Mathematics
Type: BOOK - Published: 2020 - Publisher: Nova Science Publishers

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"Quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton. They form an interesting algebra where each object conta