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Product Details
From the back cover: "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."
BRIEF 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: Introduction to SU(2), SU'(2), and Rotations. More About Spinors
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
This Dover (2005) publication is a "slightly corrected republication of the edition published by Oxford University Press, Oxford, 1986," and may contain British spelling.
