Challenging Mathematical Problems with Elementary Solutions: Problems from various branches of mathematicsHolden-Day, 1964 |
內容
Preface to the American Edition Suggestions for Using the Book vii | 3 |
Lattices of Points in the Plane | 5 |
Topology | 7 |
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常見字詞
a₁ a₂ axis b₁ b₂ block of digits C₁ chord coefficients colors Configuration Consider contains convex polygon cookies cot 4n cot2 csc² curve curvilinear trapezoid ABCD d₁ denote deviation from zero digit of P₁ distance divide equal equation exactly follows formula Hence hyperbola inequality integer intersect interval last digit lattice points least length log P₁ log P2 log log Pi log² loga q logarithms losing positions mathematical induction mathematics Minkowski's theorem natural logarithms neighbors of rank node number of digits number of triangles obtain P₁ and P₂ pairs parallel parallelogram plane player points A1 polygons of rank polynomial positive integer possible projective geometry proof prove rectangle result of problem satisfying the conditions segment sequence sides sin² square Suppose term in common tetrahedra theorem u₁ vertex vertices x₁ α α