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Cover image for book Complex Variables

Complex Variables

Introduction and Applications
By:Mark J. Ablowitz; Athanassios S. Fokas
Publisher:Cambridge University Press
Print ISBN:9780521534291
eText ISBN:9781139636117
Edition:2
Format:Reflowable

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Complex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. 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, and numerical methods. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann–Hilbert problems. The authors provide an extensive array of applications, illustrative examples and homework exercises. This 2003 edition was improved throughout and is ideal for use in undergraduate and introductory graduate level courses in complex variables.

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