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| Title Details: | |
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Generating complex functions |
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| 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 concept of the complex derivative is defined and its algebraic properties are recorded. Then the Cauchy-Riemann conditions (equations) are formulated and their correlation with the concept of the complex derivative and their role in the calculation of derivatives of elementary functions are examined. Particular emphasis is placed on the important concept of analytic function and the study of the main properties of analytic functions.
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| Type: |
Chapter |
| Creation Date: | 2015 |
| Item Details: | |
| License: |
http://creativecommons.org/licenses/by-nc-nd/3.0/gr |
| Handle | http://hdl.handle.net/11419/1138 |
| Bibliographic Reference: | Tsitsas, N. (2015). Generating complex functions [Chapter]. In Tsitsas, N. 2015. Applied Mathematics [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/1138 |
| Language: |
Greek |
| Is Part of: |
Applied Mathematics |
| Publication Origin: |
Kallipos, Open Academic Editions |