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Beautiful Mathematics /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2012.
|
| Colección: | Bibliografija "Spectrum."
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover ; copyright page; title page ; Contents; Preface; Imaginative Words; Lemniscate; Centillion; Golden Ratio; Borromean Rings; Sieve of Eratosthenes; Transversal of Primes; Waterfall of Primes; Squares, Triangular Numbers, and Cubes; Determinant; Complex Plane; Intriguing Images; Square Pyramidal Square Number; Binary Trees; Bulging Hyperspheres; Projective Plane; Two-Colored Graph; Hypercube; Full Adder; Sierpi0ntoto 0""13nski's Triangle; Squaring Map; Riemann Sphere; Captivating Formulas; Arithmetical Wonders; Heron's Formula and Heronian Triangles.
- Sine, Cosine, and Exponential Function ExpansionsTangent and Secant Function Expansions; Series for Pi; Product for Pi; Fibonacci Numbers and Pi; Volume of a Ball; Euler's Integral Formula; Euler's Polyhedral Formula; The Smallest Taxicab Number; Infinity and Infinity Squared; Complex Functions; The Zeta Function and Bernoulli Numbers; The Riemann Zeta Function; The Jacobi Identity; Entropy; Rook Paths; Delightful Theorems; A Square inside Every Triangle; Morley's Theorem; The Euler Line; Monge's Theorem; Power Means; Regular Heptagon; Isometries of the Plane.
- Symmetries of Regular Convex PolyhedraPolynomial Symmetries; Kings and Serfs; The Erd0ototo 0""7Dos
- Szekeres Theorem; Minkowski's Theorem; Lagrange's Theorem; Van der Waerden's Theorem; Latin Squares and Projective Planes; The Lemniscate Revisited; Pleasing Proofs; The Pythagorean Theorem; The Erd0ototo 0""7Dos
- Mordell Inequality; Triangles with Given Area and Perimeter; A Property of the Directrix of a Parabola; A Classic Integral; Integer Partitions; Integer Triangles; Triangle Destruction; Squares in Arithmetic Progression; Random Hemispheres; Odd Binomial Coefficients.
- Frobenius' Postage Stamp ProblemPerrin's Sequence; On the Number of Partial Orders; Perfect Error-Correcting Codes; Binomial Coefficient Magic; A Group of Operations; Elegant Solutions; A Tetrahedron and Four Spheres; Alphabet Cubes; A Triangle in an Ellipse; About the Roots of a Cubic; Distance on Planet X; A Tilted Circle; The Millionth Fibonacci Number; The End of a Conjecture; A Zero-Sum Game; An Expected Maximum; Walks on a Graph; Rotations of a Grid; Stamp Rolls; Making a Million; Coloring a Projective Plane; Creative Problems; Two-Dimensional Gobbling Algorithm.
- Nonattacking Queens GameLucas Numbers Mod m; Exact Colorings of Graphs; Queen Paths; Transversal Achievement Game; Binary Matrix Game; Harmonious Foundations; Sets; Relations; Functions; Groups; Fields; Vector Spaces; Eye-Opening Explorations; Problems; Solutions; Bibliography; Index; About the Author.