Which Way Did the Bicycle Go?: And Other Intriguing Mathematical MysteriesAmerican Mathematical Soc., 1996年12月31日 - 235 頁 MAA Press: An Imprint of the American Mathematical Society This collection will give students (high school or beyond), teachers, and university professors a chance to experience the pleasure of wrestling with some beautiful problems of elementary mathematics. Readers can compare their sleuthing talents with those of Sherlock Holmes, who made a bad mistake regarding the first problem in the collection: Determine the direction of travel of a bicycle that has left its tracks in a patch of mud. Which Way did the Bicycle Go? contains a variety of other unusual and interesting problems in geometry, algebra, combinatorics, and number theory. For example, if a pizza is sliced into eight 45-degree wedges meeting at a point other than the center of the pizza, and two people eat alternate wedges, will they get equal amounts of pizza? Or: What is the rightmost nonzero digit of the product 1⋅2⋅3⋯1,000,000 1⋅2⋅3⋯1,000,000? Or: Is a manufacturer's claim that a certain unusual combination lock allows thousands of combinations justified? Complete solutions to the 191 problems are included along with problem variations and topics for investigation. |
內容
Chapter 1 Plane Geometry | 1 |
Chapter 2 Number Theory | 25 |
Chapter 3 Algebra | 33 |
Chapter 4 Combinatorics and Graph Theory | 37 |
Chapter 5 ThreeDimensional Geometry | 45 |
Chapter 6 Miscellaneous | 51 |
Solutions | 61 |
223 | |
233 | |
Back Cover | 239 |