On the Kolmogorov-Arnold representation theorem for continuous functions
Bragg, Aaron R.
AdvisorFridman, Buma L.
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In 1900 at the International Congress of Mathematicians in Paris, D. Hilbert posed 23 questions that later became known as Hilbert's 23 problems. Number 13 remained unresolved for over half a century until 1956 and 1957 when A. N. Kolmogorov and his student V. I. Arnold, in a series of three papers, provided the solution. In this paper, I present Hilbert's 13th problem as well as give my interpretation of Kolmogorov's solution to this.
Thesis (M.S.)-- Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics, Statistics, and Physics