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Rotations, Quaternions, and Double Groups

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PublisherDover Publications Inc.
ISBN 139780486445182
ISBN 10486445186
Book DescriptionThis self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems.Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary.
LanguageEnglish
AuthorSimon L Altmann
Publication Date2005-11-25
Number of Pages336 pages

Rotations, Quaternions, and Double Groups

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