Lectures on complex integration [electronic resource] / A. O. Gogolin ; edited by Elena G. Tsitsishvili, Andreas Komnik.
2014
QA255
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Title
Lectures on complex integration [electronic resource] / A. O. Gogolin ; edited by Elena G. Tsitsishvili, Andreas Komnik.
ISBN
9783319002125 electronic book
3319002120 electronic book
9783319002118
3319002120 electronic book
9783319002118
Published
Cham : Springer, 2014.
Language
English
Description
1 online resource (ix, 285 pages) : illustrations.
Item Number
10.1007/978-3-319-00212-5 doi
Call Number
QA255
Dewey Decimal Classification
515/.9
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, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on online resource; title from PDF title page (SpringerLink, viewed October 28, 2013).
Series
Undergraduate lecture notes in physics, 2192-4791
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Table of Contents
Basics
Hypergeometric series with applications
Integral equations
Orthogonal polynomials
Solutions to the problems.
Hypergeometric series with applications
Integral equations
Orthogonal polynomials
Solutions to the problems.