The Colorado Mathematical Olympiad and Further Explorations
Springer-Verlag New York Inc.
978-0-387-75471-0 (ISBN)
This updated printing of the first edition of Colorado Mathematical Olympiad: the First Twenty Years and Further Explorations gives 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.
Alexander Soifer has published around 100 articles and four other books entitled, Mathematics as Problem-Solving, 2/e How Does one Cut a Triangle? 2/e Mathematical Coloring Book, and Geometric Etudes in Combinatorial Mathematics. The 2nd ed. of Mathematical Coloring Book (forthcoming with Spenser). We are publishing 2nd ed. of the other three books. Soifer is renowned for creating significant problems and conjectures, and this book could be helpful to others thinking about organizing an olympiad. Soifer is at Princeton and Colorado. Author confirms sales of 3000 copies of all three books listed above, (excluding Mathematical Coloring Book) all self-sold by author. These three books are out of stock.
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.
| Zusatzinfo | 18 Illustrations, color; 167 Illustrations, black and white; XL, 408 p. 185 illus., 18 illus. in color. |
|---|---|
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 682 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 0-387-75471-7 / 0387754717 |
| ISBN-13 | 978-0-387-75471-0 / 9780387754710 |
| Zustand | Neuware |
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