Rotations, Quaternions, and Double Groups (Dover Books on Mathematics) (Paperback)

Rotations, Quaternions, and Double Groups (Dover Books on Mathematics) By Simon L. Altmann Cover Image
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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 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.
Product Details
ISBN: 9780486445182
ISBN-10: 0486445186
Publisher: Dover Publications
Publication Date: November 3rd, 2005
Pages: 352
Language: English
Series: Dover Books on Mathematics