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Author Gogolin, Alexander O. (Alexander Olegovich), 1965- author.

Title Lectures on complex integration / A.O. Gogolin ; edited by Elena G. Tsitsishvili, Andreas Komnik
Published Cham : Springer, 2014


Description 1 online resource (ix, 285 pages) : illustrations
Series Undergraduate Lecture Notes in Physics, 2192-4791
Undergraduate lecture notes in physics, 2192-4791
Contents Basics -- Hypergeometric series with applications -- Integral equations -- Orthogonal polynomials -- Solutions to the problems
Summary 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
Bibliography Includes bibliographical references and index
Notes English
Online resource; title from PDF title page (SpringerLink, viewed October 28, 2013)
Subject Numbers, Complex.
Calculus of variations.
Mathematical physics.
Calculus of variations
Mathematical physics
Numbers, Complex
Form Electronic book
Author Tsitsishvili, Elena G., editor
Komnik, Andreas, editor
ISBN 9783319002125