## Mathematics today: twelve informal essays |

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### Contents

Part One | 13 |

Part Two | 35 |

Groups and Symmetry Jonathan Alperin | 65 |

Copyright | |

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### Common terms and phrases

algebra algorithm analysis applications assigned basic behavior bicycle boundary calculation called Clifford parallels colors concept CP schedule critical path curve decision problem described differential Diophantine equations economic equations Euclidean example experimental fact Figure finite first-fit Four-Color Conjecture function Gauss geodesic geometry given graph guessing halt halting problem ideas large number Lie groups Lobachevskian manifold mathematicians mathematics methods move normal map NP-complete number system number theory observations optimal optimal stopping packing packing problem patients pattern permutations physical plane players population possible precedence constraints prediction prime numbers probability problem procedure processors proof prove random walk reducible configurations result Riemann Riemann Hypothesis rotation secretary problem sequence sequential sequential analysis simple solutions space SPRT square statistical step stopping rule string structure symmetry tape tasks theorem tion treatment trials Turing-Post program unavoidable set University unsolvable variables vector