From Erdös to Kiev
From Erdös to Kiev
Out of Print
Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but it will also appeal to anyone who enjoys a mathematical challenge. Most of the problems in the collection have appeared on national or international Olympiads or other contests. Thus, they are quite challenging (with solutions that are all the more rewarding). The solutions use straightforward arguments from elementary mathematics (often not very technical arguments) with only the occasional foray into sophisticated or advanced ideas. Anyone familiar with elementary mathematics can appreciate a large part of the book. The problems included in this collection are taken from geometry, number theory, probability, and combinatorics. Solutions to the problems are included.
- Many problems taken from international Olympiads and similar contests
- Complete solutions provided
- Anyone familiar with elementary mathematics can appreciate a large part of the book
Reviews & endorsements
'Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but will also appeal to anyone who enjoys a mathematical challenge.' L'Enseignement Mathématique
'The publication of every new volume in The Dolciani Mathematical Expositions of the Mathematical Association of America is an important event … This book is recommended to teachers, students and everyone, who enjoy the fun and games of problem solving and have the opinion that asking and answering problems is what keeps a mathematician young in spirit.' Acta. Sci. Math.
Product details
February 1997Paperback
9780883853245
267 pages
235 × 159 × 15 mm
0.4kg
50 b/w illus.
Unavailable - out of print
Table of Contents
- 1. Seven solutions George Evagelopoulos
- 2. A decomposition of a triangle
- 3. AIME - 1987
- 4. A problem from the 1991 AIME examination
- 5. Nine unused problems from the 1987 International Olympiad
- 6. Two problems from the 1988 USA Olympiad
- 7. From the 1988 International Olympiad
- 8. A geometric gem of Duane DeTemple
- 9. A Kiev Olympiad problem
- 10. Some student favorites
- 11. Four unused problems from the 1988 International Olympiad
- 12. From the 1988 AIME examination
- 13. An unused Bulgarian problem on the medial triangle and the Gergonne triangle
- 14. Two solutions by John Morvay from the 1982 Leningrad High School Olympiad
- 15. Two solutions by Ed Doolittle
- 16. From the 1987 Spanish Olympiad
- 17. A problem from Johann Walter
- 18. From the 1987 Balkan Olympiad
- 19. From various Kurschak competitions
- 20. Two questions from the 1986 National Junior High School Mathematics competition of the People's Republic of China
- 21. From the 1986 Spanish Olympiad
- 22. A geometric construction
- 23. An inequality involving logarithms
- 24. On isosceles right-angled pedal triangles
- 25. Two problems from the 1987 Austrian Olympiad
- 26. From the 1988 Canadian Olympiad
- 27. A problem on closed sets
- 28. From the 1987 Austrian-Polish team competition
- 29. An engaging property concerning the incircle of a triangle
- 30. On floors and ceilings
- 31. Two problems from the 1987 International Olympiad
- 32. On arithmetic progressions
- 33. A property of triangles having an angle of 30 degrees
- 34. From the 1985 Bulgarian Spring competition
- 35. An unused International Olympiad problem from Britain
- 36. A Romanian Olympiad proposal
- 37. From the 1984 Bulgarian Olympiad
- 38. Two Erdös problems
- 39. From the 1985 Bulgarian Olympiad
- 40. From a Chinese contest
- 41. A Japanese temple geometry problem
- 42. Two problems from the Second Balkan Olympiad, 1985
- 43. A property of pedal triangles
- 44. Three more solutions George Evagelopoulos
- 45. The power mean inequality.
