Lectures on complex integration

• Verfasst von: Gogolin, Alexander O.
• Titel: Lectures on complex integration
• Mitwirkende: Tsitsishvili, Elena G. [Hrsg.]
• Mitwirkende: Komnik, Andreas [Hrsg.]
• Verf.angabe: by A. O. Gogolin; edited by Elena G. Tsitsishvili, Andreas Komnik
• Verlagsort: Cham ; Heidelberg ; New York ; Dordrecht ; London
• Verlag: Springer
• Jahr: 2014
• Umfang: Online-Ressource (IX, 285 p. 64 illus, online resource)
• Gesamttitel/Reihe: Undergraduate Lecture Notes in Physics
• Gesamttitel/Reihe: SpringerLink : Bücher
• ISBN: 978-3-319-00212-5
• DOI: doi:10.1007/978-3-319-00212-5
• Datenträger: Online-Ressource
• Sprache: eng
• Bibliogr. Hinweis: Erscheint auch als : Druck-Ausgabe: Gogolin, Alexander O., 1965 - 2011: Lectures on complex integration. - Cham : Springer, 2014. - IX, 285 S.
• RVK-Notation: SK 750
• K10plus-PPN: 1653042567

Abstract

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