Complex Analysis with Applications to Flows and Fields presents the
theory of functions of a complex variable, from the complex plane
to the calculus of residues to power series to conformal mapping.
The book explores numerous physical and engineering applications
concerning potential flows, the gravity field, electro- and
magnetostatics, steady heat conduction, and other problems. It
provides the mathematical results to sufficiently justify the
solution of these problems, eliminating the need to consult
external references. The book is conveniently divided into four
parts. In each part, the mathematical theory appears in
odd-numbered chapters while the physical and engineering
applications can be found in even-numbered chapters. Each chapter
begins with an introduction or summary and concludes with related
topics. The last chapter in each section offers a collection of
many detailed examples. This self-contained book gives the
necessary mathematical background and physical principles to build
models for technological and scientific purposes. It shows how to
formulate problems, justify the solutions, and interpret the
results.
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