1. Introduction -- 2. General Properties of Groups and Mappings -- 3. Group Representations -- 4. Properties of Irreducible Representations -- 5. Physical Applications -- 6. Continuous Groups (SO(N)) -- 7. Further Applications -- 8. The SU(N) Groups and Particle Physics -- 9. General Treatment of Simple Lie Groups -- 10. Representations of the Poincare Group -- 11. Gauge Groups -- App. A. Dirac Notation in Quantum Mechanics -- App. B. Eigenstates of Angular Momentum in Quantum Mechanics -- App. C. Group-invariant Measure for SO(3) -- App. D. Calculation of Roots for SO(n) and Sp(2r) -- App. E. Covariant Normalization and Relativistic Scattering -- App. F. Lagrangian Mechanics
