The Mathematical Olympiad Handbook: An Introduction to Problem Solving Based on the First 32 British Mathematical Olympiads 1965-1996Oxford University Press, 1997 - 229 pàgines Mathematical Olympiad competitions started in Hungary at the end of the nineteenth century, and are now held internationally. They bring together able secondary school pupils who attempt to solve problems which develop their mathematical skills. Olympiad problems are unpredictable and have no obvious starting point, and although they require only the skills learnt in ordinary school problems they can seem much harder. The Mathematical Olympiad Handbook introduces readers to these challenging problems and aims to convince them that Olympiads are not just for a select minority. The book contains problems from the first 32 British Mathematical Olympiad (BMO) papers 1965-96 and gives hints and outline solutions to each problem from 1975 onwards. An overview is given of the basic mathematical skills needed, and a list of books for further reading is provided. Working through the exercises provides a valuable source of extension and enrichment for all pupils and adults interested in mathematics. |
Continguts
Problems and problem solving | 1 |
A little useful mathematics | 7 |
Some books for your bookshelf | 41 |
Background to the problem papers | 53 |
32nd BMO 1996 | 89 |
31st BMO 1995 | 95 |
29th BMO 1993 | 103 |
28th BMO 1992 | 109 |
23rd BMO 1987A | 142 |
22nd BMO 1986 | 152 |
21st BMO 1985 | 162 |
20th BMO 1984 | 168 |
19th BMO 1983 | 177 |
17th BMO 1981 | 188 |
15th BMO 1979 | 196 |
14th BMO 1978 | 202 |
27th BMO 1991 | 115 |
26th BMO 1990 | 122 |
25th BMO 1988 | 128 |
24th BMO 1987B | 136 |
12th BMO 1976 | 213 |
11th BMO 1975 | 219 |
Frases i termes més freqüents
a₁ AABC ABCD algebra altitude AM-GM inequality angles binomial coefficients bisects brackets British Mathematical Olympiad calculate Canadian Mathematical Society centre choose circle circumcentre coefficients complete the solution cone cube cuts cyclic quadrilateral d₁ David Hilbert David Monk denote diagram divides divisible equal equation exactly expression fact formula geometry given International Mathematical Olympiad length look Manchester GS Mathematical Association mathematical problem midpoint multiple natural number non-zero P₁ Pascal's triangle perfect square permutations perpendicular plane polynomial positive integers positive real numbers possible value prime number proof prove Pythagorean triple quadrilateral question R₁ R₂ radius rational numbers recurrence relation remainder roots S₁ satisfy sequence side solve sphere Suppose tangent Team Leader tetrahedron Theorem triangle ABC u₁ u₂ units digit vectors vertices
Referències a aquest llibre
Counting and Configurations: Problems in Combinatorics, Arithmetic, and Geometry Jiri Herman,Radan Kucera,Jaromir Simsa Previsualització limitada - 2003 |
Equations and Inequalities: Elementary Problems and Theorems in Algebra and ... Jiri Herman,Radan Kucera,Jaromir Simsa Previsualització limitada - 2000 |