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