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tags: mathematics, curvilinear.blog
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# Complex Dynamics
*Iteration of Complex-valued Functions*

The mathematical field of dynamics is even more broad than only *complex dynamics* but that's about all I can say about that.

## History of Complex Dynamics
There are several books and articles on the history of complex dynamics:
- Book: [Early Days in Complex Dynamics: A history of complex dynamics in one variable during 1906–1942](https://bookstore.ams.org/hmath-38)
- Book: [A History of Complex Dynamics From Schröder to Fatou and Julia](https://link.springer.com/book/10.1007/978-3-663-09197-4)
- [A Century of Complex Dynamics](http://math.bu.edu/people/bob/papers/cent.pdf). I don't know if this article was published elsewhere or not, but this pdf is freely available.
- [One hundred years of complex dynamics](https://royalsocietypublishing.org/doi/10.1098/rspa.2015.0453). I think this article is free to download.

## Books on Complex Dynamics
- Beardon, A.F. (1991) *Iteration of Rational Functions*, [Publisher Link](https://www.springer.com/gp/book/9780387951515)
- Holomorphic Dynamical Systems
- Fatou, Julia, Montel
- [Normal Families and Normal Functions](https://www.routledge.com/Normal-Families-and-Normal-Functions/Dovbush-Krantz/p/book/9781032666365#) (2024)
## Articles

## Philosophy of Complex Systems
Bishop, R.C. (2011) Metaphysical and Epistemological Issues in Complex Systems. [Publisher Page](https://www.sciencedirect.com/science/article/pii/B9780444520760500031) | [PDF](https://u.pcloud.link/publink/show?code=XZbAklXZaovFPoSDEKYSYhcIoeq5qj5JM3dX)

## Other Resources
*e.g. software, etc. -- will update eventually*

## Other Unsorted
- https://www.open.ac.uk/stem/mathematics-and-statistics/research/research-groups/dynamical-systems/complex-dynamics
- https://e.math.cornell.edu/people/belk/dynamicalsystems/NotesComplexDynamics.pdf
- https://math.uchicago.edu/~may/REUDOCS/Stoll.pdf
- https://mathshistory.st-andrews.ac.uk/Biographies/Collatz/
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