Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics)

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9780521485234: Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics)

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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Book Description:

This text provides both an introduction to complex variables and an extensive array of applications, illustrative examples and homework exercises. It is ideal for use in introductory undergraduate and graduate level courses in complex variables.

About the Author:

Mark J. Ablowitz is Professor of Applied Mathematics at the University of Colorado, Boulder.

Athanassios S. Fokas is Professor of Nonlinear Mathematical Science in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge. In 2000 he was awarded the Naylor Prize for his work on which this book is based. In 2006 he received the Excellence Prize of the Bodossaki Foundation.

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Mark J. Ablowitz; Athanssios S. Fokas
Published by Cambridge University Press (1997)
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