0. Introduction -- 1. Basic Concepts -- 2. Conformal Mappings -- 3. SchwarzโChristoffel Integrals -- 4. Polynomial Approximations -- 5. Nearly Circular Regions -- 6. Greenโs Functions -- 7. Integral Equation Methods -- 8. Theodorsenโs Integral Equation -- 9. Symmโs Integral Equation -- 10. Airfoils -- 11. Doubly Connected Regions -- 12. Singularities -- 13. Multiply Connected Regions -- 14. Grid Generation -- Appendix A. Cauchy P. V. Integrals -- A.1. Numerical Evaluation -- Appendix B. Greenโs Identities -- Appendix C. RiemannโHilbert Problem -- C.1. Homogeneous Hilbert Problem -- C.2. Nonhomogeneous Hilbert Problem -- C.3. RiemannโHilbert Problem -- Appendix D. Successive Approximations -- D.1. Tables -- Appendix E. Catalog of Conformal Mappings -- Bibliography 431 Notation

1. Mathematics
2. Functions of complex variables
3. Computer mathematics
4. Mathematics
5. Several Complex Variables and Analytic Spaces
6. Computational Mathematics and Numerical Analysis
7. Functions of a Complex Variable