In addition to being mathematically elegant, complex variables provide a powerful tool for solving problems that are either very difficult or virtually impossible to solve in any other way. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, numerical methods and more. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann–Hilbert problems. The authors also provide an extensive array of applications, illustrative examples and homework exercises. This book is ideal for use in introductory undergraduate and graduate level courses in complex variables.

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‘... the quality of the print is really first rate and the narration is measured, well reasoned, rigorous and nicely layed out ... the book in total constitutes a very good resource for teachers of, and researchers in, this particular area of mathematics.’ Peter Larcombe, Mathematics Today

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