Applied and Computational Complex Analysis, Volume 1

Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.

Formal Power Series. Functions Analytic at a Point. Analytic Continuation. Complex Integration. Conformal Mapping. Polynomials. Partial Fractions. Bibliography. Index.