The Colorado Mathematical Olympiad and Further Explorations: From the Mountains of Colorado to the Peaks of Mathematics / Edition 1

The Colorado Mathematical Olympiad and Further Explorations: From the Mountains of Colorado to the Peaks of Mathematics / Edition 1

by Alexander Soifer
     
 

ISBN-10: 0387754717

ISBN-13: 9780387754710

Pub. Date: 05/01/2011

Publisher: Springer US

This updated printing of the first edition of Colorado Mathematical Olympiad: the First Twenty Years and Further Explorationsgives the interesting history of the competition as well as an outline of all the problems and solutions that have been created for the contest over the years. Many of the essay problems were inspired by Russian mathematical folklore and

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Overview

This updated printing of the first edition of Colorado Mathematical Olympiad: the First Twenty Years and Further Explorationsgives the interesting history of the competition as well as an outline of all the problems and solutions that have been created for the contest over the years. Many of the essay problems were inspired by Russian mathematical folklore and written to suit the young audience; for example, the 1989 Sugar problem was written in a pleasant Lewis Carroll-like story. Some other entertaining problems involve olde Victorian map colourings, King Authur and the knights of the round table, rooks in space, Santa Claus and his elves painting planes, football for 23, and even the Colorado Springs subway system.

Product Details

ISBN-13:
9780387754710
Publisher:
Springer US
Publication date:
05/01/2011
Edition description:
2011
Pages:
408
Product dimensions:
6.10(w) x 9.00(h) x 1.00(d)

Table of Contents

Preface.- Olympiad History: What it is and How it Started.- Three Celebrated Ideas.- Year 1.- Year 2.- Year 3.- Year 4.- Year 5.- Year 6.- Year 7.- Year 8.- Year 9.- Year 10.- Further Explorations.- Rooks in Space.- Chromatic Number of the Plane.- Polygons in a Colored Circle, Polyhedra in a colored Sphere.- How Does one Cut a Triangle?.- Points in Convex Figures.- Triangles in a Colored Plane.- Rectangles in a Colored Plane.- Colored Polygons.- Infinite-Finite.- Schur Theorem.- Bibliography.- Year 11.- Year 12.- Year 13.- Year 14.- Year 15.- Year 16.- Year 17.- Year 18.- Year 19.- Year 20.- Further Explorations.- Chromatic Number of a Grid.- Stone Age Entertainment.- The Erdös Problem.- Squares in a Square.- Washington Recangles.- Olde Victorian Map Colouring.- More Stone Age Entertainment.- The 1-10-100 Problem.- King Arthur and the Knights of the Round Table.- A Map Coloring "Game".- Bibliography.

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