From Erdos to Kiev~tqw~_darksiderg

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Name:From Erdos to Kiev~tqw~_darksiderg

Total Size: 12.27 MB

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Last Updated: 2009-12-10 06:57:59 (Update Now)

Torrent added: 2009-08-20 23:18:12

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From Erdos to Kiev~tqw~_darksiderg.pdf (Size: 12.27 MB) (Files: 3)

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Torrent description


Title................: From Erdos to Kiev
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 12.2 MB
Torrent Hash.........: 33A2FE0A C201A6A3 C34D4808 AF6F3E89 E44F2D90
Posted by............: ~tqw~


From Erdos to Kiev~tqw~_darksiderg preview 0
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.

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
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 InternationalOlympiad 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.

Product Details:
* ISBN: 0883853248
* ISBN-13: 9780883853245
* Format: Paperback, 250pp
* Publisher: Mathematical Association of America
* Pub. Date: February 1997

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