Rotations Quaternions and Double Groups

Rotations  Quaternions  and Double Groups
Author : Simon L. Altmann
Publisher : Courier Corporation
Total Pages : 336
Release : 2013-04-09
ISBN 10 : 9780486317731
ISBN 13 : 0486317730
Language : EN, FR, DE, ES & NL

Rotations Quaternions and Double Groups Book Description:

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.


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