On Numbers and GamesCRC Press, 11 déc. 2000 - 256 pages ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but |
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Expressions et termes fréquents
assertion atomic weight born on day Chapter Class component games compute conjunctive compound corresponding deduce defined definition deleted diagram disjunctive compound disjunctive sum dominated dyadic rationals edges Elwyn Berlekamp equal equation field finite number follows formula G and H game G generalised 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 negative numbers Nim-addition Nim-heap Nim-sum nodes normal play Norton number x obtain ONAG option of G ordinal numbers ordinal sum particular partizan games 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 Surreal Numbers suspense number Theorem theory thermograph trominoes Welter function winning strategy zero