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Other titles in the Cambridge Texts in Applied Mathematics series:
Complex Variables: Introduction and Applications (Cambridge Texts in Applied Mathematics)by Mark J. Ablowitz
Synopses & Reviews
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.
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.
Ideal for use in undergraduate and introductory graduate level courses in complex variables.
An introduction to the study of complex variables and applications.
Table of Contents
Part I: 1. Complex numbers and elementary functions; 2. Analytic functions and integration; 3. Sequences, series and singularities of complex functions; 4. Residue calculus and applications of contour integration; Part II: 5. Conformal mapping and applications; 6. Asymptotic evaluation of integrals; 7. Riemann-Hilbert problems; Index.
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