MS-C1300 - Complex Analysis, Lecture, 21.10.2024-2.12.2024
Topic outline
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Course material
- An interdependency graph and a typeset blueprint for the theoretical content of the course
- Note: this only contains the definitions and theorem statements; no proofs, no examples, no applications, no visualizations...
- WARNING: preliminary, will be updated and improved during the course!
- Note: this only contains the definitions and theorem statements; no proofs, no examples, no applications, no visualizations...
- Some form of rough hand-written lecture note sketches will be provided.
Textbook(s)
The main textbook for the course is
- Bruce P. Palka: An Introduction to Complex Function Theory (Undergraduate Texts in Mathematics), Springer, 1991.
Other good textbooks and/or lecture notes include:
- a classic: Lars Ahlfors: Complex Analysis, American Mathematical Society, 2021 (reprint of the 1979 3rd edition of a book originally published in 1953).
- concise, pedagogical, with great illustrations, in French: Ernst Hairer and Gerhard Wanner: Analyse Complexe et Séries de Fourier, online, 2006.
Other resources
- hand-written lecture notes in Finnish from 2018
- Björn Ivarsson's lecture videos from an earlier course
- Björn Ivarsson's lecture notes from the 2023 course
Misc:- dictionary of mathematical terms (Finnish-English-Swedish)
- An interdependency graph and a typeset blueprint for the theoretical content of the course