Lectures on complex integration

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...

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Bibliographic Details
Main Author: Gogolin, Alexander O. (Author)
Other Authors: Tsitsishvili, Elena G. (Editor) , Komnik, Andreas (Editor)
Format: Book/Monograph
Language:English
Published: Cham Heidelberg New York Dordrecht London Springer 2014
Series:Undergraduate Lecture Notes in Physics
SpringerLink Bücher
DOI:10.1007/978-3-319-00212-5
Online Access:Verlag, Volltext: https://doi.org/10.1007/978-3-319-00212-5
Resolving-System, lizenzpflichtig, Volltext: http://dx.doi.org/10.1007/978-3-319-00212-5
Cover: https://swbplus.bsz-bw.de/bsz395812461cov.jpg
Verlag, Zentralblatt MATH, Inhaltstext: https://zbmath.org/?q=an:1281.30001
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Author Notes:by A. O. Gogolin; edited by Elena G. Tsitsishvili, Andreas Komnik
Description
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
Physical Description:Online Resource
ISBN:9783319002125
DOI:10.1007/978-3-319-00212-5