目次

1. Basics.- 2. Further preliminaries.- 3. Complex dynamics.- 4. Univalent functions and de Brange's theorem.- 5. Harmonic and subharmonic functions; the Dirichlet problem.- 6. General Riemann surfaces.- 7. The uniformization theorem.- 8. Quasiconformal mapping.- 9. Introduction to Teichmüller theory.- 10. The Bergman kernel.- 11. Theta functions.- 12. Padé approximants and continued fractions.- 13. Riemann–Hilbert problems.- 14. Asymptotic and Darboux's method.- References.- Index.