Complex Variables: Introduction and Applications
Ablowitz,Mark J.
Complex Variables: Introduction and Applications - New Delhi: Cambridge University Press, 1998. - xii, 647 pages : illustrations ; - Cambridge texts in applied mathematics. .
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.
9780521480581 0521480582 9780521485234 0521485231
Functions of complex variables.
515.9 / ABL
Complex Variables: Introduction and Applications - New Delhi: Cambridge University Press, 1998. - xii, 647 pages : illustrations ; - Cambridge texts in applied mathematics. .
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.
9780521480581 0521480582 9780521485234 0521485231
Functions of complex variables.
515.9 / ABL