Complex Variables: Introduction and Applications
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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Review: Complex Variables: Introduction and ApplicationsUser Review - mirela Darau - Goodreads
One of my favourite books along with Bender & Orszag's Mathematical Methods. Accessible language, lots of relevant examples, it's definetely a pleasant read. I had a first look into it when struggling ... Read full review
A First Course in Complex Analysis with Applications
Dennis G. Zill,Patrick Shanahan
Limited preview - 2003