Rotations, Quaternions, and Double Groups (Dover Books on Mathematics). This item is unavailable.
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Language: English
Published by Dover Publications, 2005
- Softcover
- Used
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- Title
- Rotations, Quaternions, and Double Groups (Dover Books on Mathematics)
- Author
- Altmann, Simon L.
- Publisher
- Dover Publications
- Publication year
- 2005
- Condition
- Very Good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0486445186
- ISBN 13
- 9780486445182
- Series
- Book 176 of 303: Dover Books on Mathematics
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.
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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