V.I. Ivanov, M.K. Trubetskov
Handbook of Conformal Mapping with Computer-Aided Visualization
Florida: CRC Press, 1993

The book is a complete handbook on conformal mapping applications in mathematical physics. The book is supplied with IBM PC programs for Microsoft Windows for conformal mapping visualization and analysis.

Conformal mappings are large and essential part of the complex analysis. A conformal mapping is a graphical representation of a function of a complex variable similar to a plot of the function of a real variable being its graphical image. Conformal mappings are included into all courses of studies of the complex analysis.

An area of conformal mapping applications is relatively narrow. It is used basically in problems reduced to Laplace or Poisson equations in a plane, in particular for the calculation and design of plane potential vector fields. Nevertheless in this narrow area conformal mappings are very powerful tool allowing to proceed with a problem till the very end, to visualize the field (i.e., to construct its net of stress lines and equipotentials).