Complex Variables

Introduction and Applications

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Applied
Cover of the book Complex Variables by Mark J. Ablowitz, Athanassios S. Fokas, Cambridge University Press
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Author: Mark J. Ablowitz, Athanassios S. Fokas ISBN: 9781139636117
Publisher: Cambridge University Press Publication: April 28, 2003
Imprint: Cambridge University Press Language: English
Author: Mark J. Ablowitz, Athanassios S. Fokas
ISBN: 9781139636117
Publisher: Cambridge University Press
Publication: April 28, 2003
Imprint: Cambridge University Press
Language: English

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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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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