PřF:M5170 Complex Analysis - Course Information
M5170 Complex Analysis
Faculty of ScienceAutumn 1999
- Extent and Intensity
- 2/1/0. 9 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Josef Kalas, CSc. (lecturer)
- Guaranteed by
- doc. RNDr. Josef Kalas, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: doc. RNDr. Josef Kalas, CSc. - Prerequisites (in Czech)
- M3100 Mathematical Analysis III && M2110 Linear Algebra II
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Mathematics (programme PřF, M-MA)
- Mathematics (programme PřF, N-MA)
- Syllabus
- Topological concepts. Complex functions, complex differentiability, Cauchy-Riemann equations. Complex integration. Cauchy's theorem, Cauchy's integral formula. Fundamental properties of holomorphic functions. Power and Laurent series. Isolated singularities, calculus of residues and its applications. Entire functions. Meromorphic functions. Basic principles of conformal mapping theory.
- Literature
- ČERNÝ, Ilja. Analýza v komplexním oboru. 1. vyd. Praha: Academia, 1983, 822 s. info
- NOVÁK, Vítězslav. Analýza v komplexním oboru. 1. vyd. Praha: Státní pedagogické nakladatelství, 1984, 103 s. info
- Bicadze, A. V. Osnovy teorii analitičeskich funkcij komplexnogo peremennogo. nauka, Moskva, 1969.
- JEVGRAFOV, Marat Andrejevič. Funkce komplexní proměnné. Translated by Ladislav Průcha. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1981, 379 s. URL info
- JEVGRAFOV, Marat Andrejevič. Sbírka úloh z teorie funkcí komplexní proměnné. Translated by Anna Něničková - Věra Maňasová - Eva Nováková. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1976, 542 s. URL info
- Language of instruction
- Czech
- Further Comments
- The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
- Enrolment Statistics (Autumn 1999, recent)
- Permalink: https://is.muni.cz/course/sci/autumn1999/M5170