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June 9th, 2019, 07:39 PM   #1
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Angry Ask about some branch of mathematics, if exists, research about a class of problems?

Does there exists a brach of mathematics, if exists, perhaps in computational mathematics, researches the properties of multiple nesting functions where every nested function is somewhat simple, such as piecewise linear function?
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June 9th, 2019, 10:19 PM   #2
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Does there exists a brach of mathematics, if exists, perhaps in computational mathematics, researches the properties of multiple nesting functions where every nested function is somewhat simple, such as piecewise linear function?
Nesting. Like $f(g(h(x)))$ where $f, g, h$ are functions? This is called function composition. The study of the iterations of a given function $f$ is called iterated functions. This overlaps with the study of fractals. For example the famous Mandelbrot set arises from the successive iterations of a particular function in the complex plane.
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