310 Index linear, 15 quadratic, 6 quadric, 12 wage, 166 equivalence, 249 Erd¨ Paul, 278 Ernest, Paul, xix error-correction code, 231 Escher, M. C., xix, 79, 92, 93 Euclid, 59, 75, 143, 152, 153, 167, 230, 244 Euclidean geometry, 28, 237 Euclidean space, 33, 50 Euler’s Theorem, 26, 28, 63 Euler, Leonhard, 27, 110 evolution, 26 exponentiation square-and-multiply, 258 Feynman, Richard, 85 field finite, 256, 258, 259, 266 number, 259 of residues, 258 Zilber’s, 273 filter Frechet, ´ 130 of neighborhoods, 129 Fizmatshkola, 141, 142, 200, 275, 278 folding, 231 Fomin, Sergey, 57 form disjunctive normal, 279 quadratic, 41 real, 41 formula Brahmagupta’s, 194 Cardano, 10, 11 choiceless multivalued, 11 Heron’s, 189, 194 logical, 53 Newton’s binomial, 20 tetrahedron, 193 trigonometric, 19, 189, 191 validity of, 53 fraction continued, 95 frequency hopping, 170 frequency-time pattern, 172 Freudenthal, Hans, 86 Friedman, Harvey M., 101 Froude, William, 186 function, 4, 118 absolue value, 18 analytic, 6, 11 Boolean, 279 branch of, 11 compound, 6 continuous, 125 cubic root, 10 Dirichlet, 112 hypergeometric, 68 iteration of, 5 linear, 4 multivalued, 11 multivalued analytic, 10 non-analytic, 5, 10 non-linear, 4 not differentiable, 5 polynomial, 265, 266 square root, 20 two-valued, 10 uncomputable, 113 game Massively Multiplayer Online Role-Playing, 253 Gardiner, Tony, xix, 135 Gaussian elimination, 9 Gelfand, Israel, xviii, xix, 4, 19, 67, 68, 214 gene HOXB8, 17, 18 generator, 263 genomics, 14 geometric intuition, 28, 42 geometric progression, 95 geometry algebraic, 20, 256 integral, 68 plane, 277 projective, 114 three-dimensional, 277 Glendinning, Paul, xix, xx, 64, 106–108 Gogol, Nikolai Vasilevich, 74 golden section, 95 Gorenstein, Daniel, 279 Goryunov, Victor, xix Gowers, Timothy, 149, 273 grammar, 44, 46, 47 graph

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