| Descript |
1 online resource (236 pages) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Anneli Lax New Mathematical Library ; v.43 |
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Anneli Lax New Mathematical Library
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| Note |
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 |
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Description based on publisher supplied metadata and other sources |
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries |
| Link |
Print version: Andreescu, Titu Mathematical Miniatures
Washington : American Mathematical Society,c2003 9780883856451
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| Subject |
Mathematics -- Problems, exercises, etc.;Problem solving
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Electronic books
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| Alt Author |
Savchev, Svetoslav
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Savchev, Svetoslav
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