Calculus is Chaotic
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Joel H. Shapiro,
Department of Mathematics and Statistics,
Portland State University
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Reed College, Thursday, November 12, 4:10–5:00, Eliot 314
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Abstract:
In this talk I will sketch how the study of complex dynamics, and in
particular the chaotic behavior of rational maps on certain plane sets,
traces its roots back to Newton's Method—the algorithm that we learn in
Calculus for approximating roots of differentiable functions. No previous
knowledge of complex analysis will be required; I hope to make this talk
accessible to all students who have some background in Calculus.
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