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Mathematical miniatures [[electronic resource] /] / Svetoslav Savchev, Titu Andreescu
| Mathematical miniatures [[electronic resource] /] / Svetoslav Savchev, Titu Andreescu |
| Autore | Savchev Svetoslav |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2003 |
| Descrizione fisica | 1 online resource (236 p.) |
| Disciplina | 510 |
| Altri autori (Persone) | AndreescuTitu <1956-> |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Mathematics
Problem solving |
| Soggetto genere / forma | Electronic books. |
| ISBN | 0-88385-957-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Cover ""; ""Title page""; ""Preface""; ""Contents""; ""Warm-up Problem Set""; ""Solutions""; ""1 A Telescoping Sum""; ""2 Lagrange�s Identity""; ""3 Perfect Squares""; ""4 Least Common Multiples""; ""5 Trig Substitutions""; ""Coffee Break 1""; ""Solutions""; ""6 Popoviciu�s Theorem""; ""7 Catalan�s Identity""; ""8 Several Inequalities""; ""9 Vectors""; ""10 Mathematical Induction at Work""; ""Coffee Break 2""; ""Solutions""; ""11 A Highly Divisible Determinant""; ""12 Hermite�s Identity""; ""13 Complete Sequences""; ""14 Three Polynomials""
""15 More about Induction""""Coffee Break 3""; ""Solutions""; ""16 A Classical Identity""; ""17 Multiplicative Functions""; ""18 The “Arbitrary� Proizvolov""; ""19 H�older�s Inequality""; ""20 Symmetry""; ""Coffee Break 4""; ""Solutions""; ""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""; ""Solutions""; ""26 The AMS Inequality""; ""27 Helly�s Theorem for One Dimension""; ""28 Two Approaches""; ""29 Radical Axis"" ""30 The Pigeonhole Principle""""Coffee Break 6""; ""Solutions""; ""31 The Three Jug Problem""; ""32 Rectifying Trajectories""; ""33 Numerical Systems""; ""34 More on Polynomials""; ""35 Geometric Transformations""; ""Coffee Break 7""; ""Solutions""; ""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""; ""Solutions""; ""41 Euclid�s Game""; ""42 Perfect Powers""; ""43 The 2n � 1 Problem""; ""44 The 2n + 1 Problem""; ""45 The 3n Problem"" ""Coffee Break 9""""Solutions""; ""46 Pairwise Sums""; ""47 Integer Progressions""; ""48 Incomparable Sets""; ""49 Morse�s Sequence""; ""50 A Favorite of Erdos""; ""Instead of an Afterword""; ""Glossary""; ""About the Authors"" |
| Record Nr. | UNINA-9910461886503321 |
Savchev Svetoslav
|
||
| Washington, D.C., : Mathematical Association of America, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical miniatures / / Svetoslav Savchev, Titu Andreescu [[electronic resource]]
| Mathematical miniatures / / Svetoslav Savchev, Titu Andreescu [[electronic resource]] |
| Autore | Savchev Svetoslav |
| Pubbl/distr/stampa | Washington : , : Mathematical Association of America, , 2003 |
| Descrizione fisica | 1 online resource (xi, 223 pages) : digital, PDF file(s) |
| Disciplina | 510 |
| Collana |
Anneli Lax New Mathematical Library
Anneli Lax new mathematical library |
| Soggetto topico |
Mathematics
Problem solving |
| ISBN | 0-88385-957-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; 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. |
| Record Nr. | UNINA-9910790365403321 |
|
Savchev Svetoslav
|
||
| Washington : , : Mathematical Association of America, , 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical miniatures / / Svetoslav Savchev, Titu Andreescu
| Mathematical miniatures / / Svetoslav Savchev, Titu Andreescu |
| Autore | Savchev Svetoslav |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Washington, D.C., : Mathematical Association of America, c2003 |
| Descrizione fisica | 1 online resource (xi, 223 pages) : digital, PDF file(s) |
| Disciplina | 510 |
| Altri autori (Persone) | AndreescuTitu <1956-> |
| Collana | Anneli Lax new mathematical library |
| Soggetto topico |
Mathematics
Problem solving |
| ISBN | 0-88385-957-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; 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. |
| Record Nr. | UNINA-9910812251103321 |
|
Savchev Svetoslav
|
||
| Washington, D.C., : Mathematical Association of America, c2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||