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This text for advanced undergraduates and graduate students surveys the use of Fibonacci and Lucas numbers in areas relevant to operational research, statistics, and computational mathematics. It also covers geometric topics related to the ancient principle known as the Golden Sectiona mystical expression of aesthetic harmony that bears a close connection with the Fibonacci mechanism.
The Fibonacci principle of forming a new number by an appropriate combination of previous numbers has been extended to yield sequences with surprising and sometimes mystifying properties: the Meta-Fibonacci...

This refreshingly authoritative look at recreational mathematics illustrates winning strategies that use the methods of algebra, geometry, number theory, combinatorics, and graph theory. Its lucid analyses of the rules and theories of mathematical games include skill-enhancing exercises, in addition to detailed references, appendixes, and question-and-answer expositions that explain the basic theories.
Serious but not heavy-handed, this treatment covers games for one and two players, a theory of games, and rankings. Games in which chance plays a part, such as card games, are not...