Lectures on Complex Integration

• Main Author: Gogolin, A. O. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Tsitsishvili, Elena G. (Editor), Komnik, Andreas (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Undergraduate Lecture Notes in Physics,
• Subjects: Physics.; Functions of complex variables.; Mathematical physics.; Theoretical, Mathematical and Computational Physics.; Mathematical Applications in the Physical Sciences.; Functions of a Complex Variable.; Mathematical Physics.

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...

Table of Contents:

• Basics
• Hypergeometric series with applications
• Integral equations
• Orthogonal polynomials
• Solutions to the problems.