Complex Variables: Introduction and Applications

By: Ablowitz,Mark JContributor(s): Fokas, Athanassios SMaterial type: TextTextSeries: Cambridge texts in applied mathematicsPublication details: New Delhi: Cambridge University Press, 1998Description: xii, 647 pages : illustrationsISBN: 9780521480581; 0521480582 ; 9780521485234; 0521485231 Subject(s): Functions of complex variablesDDC classification: 515.9
Contents:
Fundamentals and techniques of complex function theory -- Complex numbers and elementary functions -- Analytic functions and integration -- Sequences, series and singularities of complex functions -- Residue calculus and applications of contour integration -- Applications of complex function theory -- Conformal mappings and applications -- Asymptotic evaluation of integrals -- Riemann-Hilbert problems.
Summary: 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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Reference Books Reference Books Main Library
Reference 		Reference 515.9 ABL (Browse shelf(Opens below)) Available 008745
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Bibliography & Index

Fundamentals and techniques of complex function theory --
Complex numbers and elementary functions --
Analytic functions and integration --
Sequences, series and singularities of complex functions --
Residue calculus and applications of contour integration --
Applications of complex function theory --
Conformal mappings and applications --
Asymptotic evaluation of integrals --
Riemann-Hilbert problems.

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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