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In mathematics, the nimbers, also called Grundy numbers, are introduced in combinatorial game theory, where they are defined as the values of heaps in the game Nim. The nimbers are the ordinal numbers endowed with nimber addition and nimber multiplication , which are distinct from ordinal addition and ordinal multiplication .
Number Munchers is an educational video game and a spin-off of Word Munchers. It was released by MECC for Apple II in 1986, then MS-DOS and Mac in 1990. The concept of the game was designed by R. Philip Bouchard, who also designed The Oregon Trail .
An update of the classic 1976 book defining the surreal numbers, and exploring their connections to games: John Conway, On Numbers And Games, 2nd ed., 2001, ISBN 1-56881-127-6. An update of the first part of the 1981 book that presented surreal numbers and the analysis of games to a broader audience: Berlekamp, Conway, and Guy, Winning Ways for ...
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Some of the algorithms Trachtenberg developed are ones for general multiplication, division and addition. Also, the Trachtenberg system includes some specialised methods for multiplying small numbers between 5 and 13. The section on addition demonstrates an effective method of checking calculations that can also be applied to multiplication.
The introductory text Winning Ways introduced a large number of games, but the following were used as motivating examples for the introductory theory: . Blue–Red Hackenbush - At the finite level, this partisan combinatorial game allows constructions of games whose values are dyadic rational numbers.