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Twenty-First Colorado Mathematical Olympiad Read chapter Read first chapter

2017 | OriginalPaper | Chapter

E30: Birth of a Problem: The Story of Creation in Seven Stages

Author : Alexander Soifer

Published in: The Colorado Mathematical Olympiad: The Third Decade and Further Explorations

Publisher: Springer International Publishing

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Abstract

Problem solving requires the existence of problems. Somebody has to create them. But how?

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previous chapter E29: One Old Erdős–Turán Problem
next chapter Movement 1. The Colorado Mathematical Olympiad Is Mathematics; It Is Sport; It Is Art. And It Is Also Community, by Matthew Kahle
Footnotes
1
The Centroid of a plane figure F is the intersection of all straight lines that divide F into two parts of equal moment about the line. The centroid of a plane figure is the point on which it would balance when placed on a needle.
Minkowski’s Measure of Asymmetry Theorem (1897) states that every chord of F through its centroid is divided by the centroid in a ratio that is between 1/2 and 2.
 
Literature
[Grü]
Grübaum, B. (1963). Measure of symmetry of convex sets, convexity. In Proceedings of Symposia in Pure mathematics 7 (pp. 233–270). Providence: American Mathematical Society.
[Min]
Minkowski, H.. Allegemeine lehrsätze über konvexe polyeder. Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen, 198–219. (Republished in Ges. Abh., Vol. 2, 103–121, Leipzig -Berlin, 1911).
Metadata
Title
E30: Birth of a Problem: The Story of Creation in Seven Stages
Author
Alexander Soifer
Copyright Year
2017
Book
The Colorado Mathematical Olympiad: The Third Decade and Further Explorations

Print ISBN: 978-3-319-52859-5

Electronic ISBN: 978-3-319-52861-8

Copyright Year: 2017

DOI
https://doi.org/10.1007/978-3-319-52861-8_22

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