| Description |
1 online resource (xi, 223 pages) : illustrations. |
| Physical Medium |
polychrome |
| Description |
text file |
| Series |
Anneli Lax new mathematical library ; v. 43
|
|
Anneli Lax new mathematical library ; v. 43.
|
| 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. "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. AMS inequality -- 27. Helly's theorem for one dimension -- 28. Two approaches -- 29. Radical axis -- 30. Pigeonhole principle -- Coffee break 6 -- 31. Three jug problem -- 32. Rectifying trajectories -- 33. Numerical systems -- 34. More on polynomials -- 35. Geometric transformations -- Coffee break 7 -- 36. 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. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Mathematics -- Problems, exercises, etc.
|
|
Mathematics. |
| Genre/Form |
Problems and exercises.
|
| Subject |
Problem solving.
|
|
Problem solving. |
| Genre/Form |
Electronic books.
|
|
Problems and exercises.
|
| Added Author |
Andreescu, Titu, 1956-
|
|
Mathematical Association of America.
|
| Other Form: |
Print version: Savchev, Svetoslav. Mathematical miniatures. Washington, D.C. : Mathematical Association of America, ©2003 088385645X (DLC) 2001097390 (OCoLC)51758993 |
| ISBN |
9780883859575 electronic book |
|
0883859572 electronic book |
|
088385645X |
|
9780883856451 |
|
088385600X |
|
9780883856000 |
|
