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Mathematical miniatures

Author: Svetoslav Savchev; Titu Andreescu; Mathematical Association of America.
Publisher: Washington, D.C. : Mathematical Association of America, ©2003.
Series: Anneli Lax new mathematical library, v. 43.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
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Genre/Form: Electronic books
Problems and exercises
Problems, exercises, etc
Problèmes et exercices
Additional Physical Format: Print version:
Savchev, Svetoslav.
Mathematical miniatures.
Washington, D.C. : Mathematical Association of America, ©2003
(DLC) 2001097390
(OCoLC)51758993
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Svetoslav Savchev; Titu Andreescu; Mathematical Association of America.
ISBN: 9780883859575 0883859572
OCLC Number: 794855316
Description: 1 online resource (xi, 223 pages) : illustrations.
Contents: 1. A telescoping sum --
2. Lagrange's identity --
3. Perfect squares --
4. Lest common multiples --
5. Trig substitutions --
Coffee break 1 --
6. Popoviciu's theorem --
7. Catalan's identity --
8. Several inequalities --
9. Vectors --
10. Mathematical induction at work --
Coffee break 2 --
11. A highly divisible determinant --
12. Hermite's identity --
13. Complete sequences --
14. Three polynomials --
15. More about induction --
Coffee break 3 --
16. A classical identity --
17. Multiplicative functions --
18. The "arbitrary" Proizvolov --
19. Hölder's inequality --
20. Symmetry --
Coffee break 4 --
21. He knows I know he knows --
22. A special inequality --
23. Two inductive constructions --
24. Some old-fashioned geometry --
25. Extremal arguments --
Coffee break 5 --
26. The AMS inequality --
27. Helly's theorem for one dimension --
28. Two approaches --
29. Radical axis --
30. The pigeonhole principle --
Coffee break 6 --
31. The three jug problem --
32. Rectifying trajectories --
33. Numerical systems --
34. More on polynomials --
35. Geometric transformations --
Coffee break 7 --
36. The Game of life problem --
37. Tetrahedra with a point in common --
38. Should we count --
39. Let's count now --
40. Some elementary number theory --
Coffee break 8 --
41. Euclid's game --
42. Perfect powers --
43. The 2n-1 problem --
44. The 2n+1 problem --
45. The 3n problem --
Coffee break --
46. Pairwise sums --
47. Integer progressions --
48. Incomparable sets --
49. Morse's sequence --
50. A favorite of Erdös.
Series Title: Anneli Lax new mathematical library, v. 43.
Responsibility: Svetoslav Savchev, Titu Andreescu.

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