## On numbers and games |

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#### LibraryThing Review

User Review - kevinashley - LibraryThingI read the first edition of this book as an undergraduate student of mathematics and, like many of my peers, was astonished at the effortless way in which an entire new class of numbers was defined ... Read full review

### Contents

Zeroth Part On Numbers | 1 |

All Numbers Great and Small | 3 |

The Class No is a Field | 15 |

Copyright | |

19 other sections not shown

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### Common terms and phrases

algebraic extension assertion atomic weight Bynum's game Chapter component games compute conjunctive compound corresponding deduce defined definition deleted diagram disjunctive compounds disjunctive sum dominoes dyadic rationals e-number edges Elwyn Berlekamp equal equation fact field finite number follows formula G and H game G generalise graph Grundy number Grundy's game Hackenbush heaps impartial games inductive inequalities infinite infinitesimal integer Kayles Left and Right Left option legal move long games misere play negative numbers Nim-addition Nim-heap Nim-position Nim-sum nodes normal play number x numbers less obtain option of G ordinal numbers ordinal sum positive numbers Proof proper Class properties prove real numbers remote stars replace reversible moves rule second player win short game sign-expansion Simon Norton simpler simplest form simplest number small games square suppose suspense number Theorem theory thermograph trominoes Welter function winning strategy zero