About this book
Introduction
The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.
Keywords
Branch Cut Integration Complex Integration Contour Integrals Examples and Solutions in Complex Integration Hypergeometric Function Undergraduate Course on Complex Integration Wiener-Hopf Equation
Authors and affiliations
- 1.Illford EssexUnited Kingdom
Editors and affiliations
- Elena G. Tsitsishvili
- Andreas Komnik
- 1.Institute for CyberneticsTbilisi Technical UniversityTbilisiGeorgia
- 2.Institut für Theoretische PhysikUniversität HeidelbergHeidelbergGermany
Bibliographic information