From Algebra to Computational Algorithms: Kolmogorov and Hilbert's Problem 13

Sprecher, David A.

ISBN 10: 1942795963 ISBN 13: 9781942795964

Published by Docent Press, 2017

Language: English

Condition: Used - As new Soft cover

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Bibliographic Details

Title

From Algebra to Computational Algorithms: Kolmogorov and Hilbert's Problem 13

Publisher

Docent Press

Publication Date

2017

Language

English

ISBN 10

1942795963

ISBN 13

9781942795964

Binding

Soft cover

Condition

As New

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About this title

Synopsis

Problem 13 of Hilbert's famous twenty-three is the most easily understood of the collection. The truth of Hilbert's conjecture concerning the resolution of his problem was intuitively pleasing and widely-held: roughly stated, the number of variables in an equation is a measure of the complexity of the equation. In 1957 a nineteen year old student of Andrey Kolmogorov, Vladimir Arnold, proved that two variables suffice. That is, any function of more than two variables can be recast as a function of only two variables. From Algebra to Computational Algorithms recounts the history of Problem 13, elucidates Arnold's surprising result, and explores some of the applications of the result to problems in computer science.

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