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Description:
Visualizations of mathematical concepts are of great educational value. In this thesis, focus lies on the usage of phase plots in complex analysis. The JavaScript framework CindyJS [CindyJS 2017] allows the production of mathematical content in an interactive fashion. Using this framework, I have implemented four pieces of software which aim to visualize the argument principle, power series, the Riemann sphere and analytic landscapes, respectively. The content is intended to be intuitive and self-explanatory. Ideally, the user would discover the tools’ features as well as the mathematical concepts which they represent autodidactically and by exploration. The following work briefly covers the mathematical background of the aforementioned principles of complex analysis, as well as the usability and the educational value of the respective visualization tool which I have produced. I will also describe essential parts of each implementation.