Title Details: | |
Complex powertrains and applications |
|
Authors: |
Tsitsas, Nikolaos |
Reviewer: |
Frantzeskakis, Dimitrios |
Subject: | MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FUNCTIONS OF A COMPLEX VARIABLE MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > FUNCTIONS OF A COMPLEX VARIABLE > SERIES EXPANSIONS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ORDINARY DIFFERENTIAL EQUATIONS > GENERAL THEORY MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > PARTIAL DIFFERENTIAL EQUATIONS > GENERAL HIGHER-ORDER EQUATIONS AND SYSTEMS MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > ORDINARY DIFFERENTIAL EQUATIONS |
Description: | |
Abstract: |
In this chapter, the concepts of the complex power series (Taylor series) and the Laurent series are studied, which are used here systematically for the representation and study of analytical functions in discs and rings, respectively. With the help of Taylor series expansion it is established that an analytic function has derivatives of any order. Moreover, Laurent series are used to classify individual anomalies as well as to calculate integral residuals. Finally, the theorem of integral balances is formulated which is essentially applied to the calculation of complex integrals.
|
Type: |
Chapter |
Creation Date: | 2015 |
Item Details: | |
License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
Handle | http://hdl.handle.net/11419/1140 |
Bibliographic Reference: | Tsitsas, N. (2015). Complex powertrains and applications [Chapter]. In Tsitsas, N. 2015. Applied Mathematics [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/1140 |
Language: |
Greek |
Is Part of: |
Applied Mathematics |
Publication Origin: |
Kallipos, Open Academic Editions |