Lectures on complex integration A.O. Gogolin ; edited by Elena G. Tsitsishvili, Andreas Komnik

Format:

Book

Author/Creator:

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

Contributor:

Tsitsishvili, Elena G., editor.

Komnik, Andreas, editor.

Series:

Undergraduate lecture notes in physics 2192-4791

Undergraduate Lecture Notes in Physics 2192-4791

Language:

English

Subjects (All):

Numbers, Complex.

Calculus of variations.

Mathematical physics.

Physical Description:

1 online resource

Place of Publication:

Cham Springer 2014

Language Note:

English

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

Contents:

Basics

Hypergeometric series with applications

Integral equations

Orthogonal polynomials

Solutions to the problems

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed October 28, 2013)

Other Format:

Printed edition:

ISBN:

9783319002125

3319002120

3319002112

9783319002118

OCLC:

864437600

Publisher Number:

10.1007/978-3-319-00

Access Restriction:

Restricted for use by site license