ISBN 9780521682152,Complex Variables : Introduction And Applications

Complex Variables : Introduction And Applications



Cambridge University Press

Publication Year 2010

ISBN 9780521682152

ISBN-10 0521682150


Edition 2nd
Number of Pages 660 Pages
Language (English)

Educational: Physics

The study of complex variables is important for students in engineering and the physical science and is a central subject in 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 1 of this text provides and introduction to the subject, including analytic functions, integration, series, and residue calculus. It also includes transform methods, ordinary differential equations in the complex plane, numerical methods, and more. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann-Hilbert problems. he authors provide an extensive array of applications, illustrative examples and homework exercises. This new edition has been improved throughout and is ideal for use in undergraduate and introductory graduate level courses in complex variables.
Table of Contents
Part I: Fundamentals and Techniques of Complex Function Theory
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: Applications of Complex Function Theory
5. Conformal mapping and applications
6. Asymptotic evaluation of integrals
7. Riemann-Hilbert problems
Appendix A Answers to Odd-Numbered Exercises Bibliography