1. Introduction

2. Electrons confined to a two-dimensional surface in a perpendicular magnetic field

3. Integer quantum Hall effect

4. Fractional quantum Hall effect

5. Numerical studies

6. Chern-Simons gauge field

7. Jain's composite fermion picture

8. Pseudopotentials

9. Angular momentum

10. Coefficients of fractional parentage

11. Non-harmonic pseudopotentials and correlations

12. Correlations in higher Landau levels

13. Chern-Simons gauge field revisited

14. Gedanken experiment: Laughlin states and the Jain sequence

15. The composite fermion hierarchy

16. Quasiparticle-quasiparticle interactions

17. Quasiparticle-quasiparticle pairing and novel families of incompressible states