Rotations, Quaternions, and Double Groups
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.
1000789638
Rotations, Quaternions, and Double Groups
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.
22.95 In Stock
Rotations, Quaternions, and Double Groups

Rotations, Quaternions, and Double Groups

by Simon L. Altmann
Rotations, Quaternions, and Double Groups

Rotations, Quaternions, and Double Groups

by Simon L. Altmann

Paperback

$22.95 
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Overview

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-13: 9780486445182
Publisher: Dover Publications
Publication date: 11/03/2005
Series: Dover Books on Mathematics
Pages: 352
Product dimensions: 5.50(w) x 8.50(h) x 0.74(d)

Table of Contents

0. Notation. Conventions. How to Use This Book
1. Introduction
2. All You Need to Know about Symmetries, Matrices, and Groups
3. A Primer on Rotations and Rotation Matrices
4. Rotations and Angular Momentum
5. Tensor Bases: Introduction to Spinors
6. The Bilinear Transformation
7. Rotations and SU(2). The Stereographic Projection
8. Projective Representations
9. The Geometry of Rotations
10. The Topology of Rotations
11. The Spinor Representations
12. The Algebra of Rotations: Quaternions
13. Double Groups
14. The Irreducible Representations of SO(3)
15. Examples and Applications
16. Solutions to Problems
References
Index
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