Topics in Finite and Discrete Mathematics

One of the longest established of disciplines, and underpinning many others, mathematics is the language of science and engineering and an intellectual field in its own right. This level of difficulty makes it an ideal test bed for theorizing on the subtler talents manifested by humans. But for understanding complexity, they turn out to be the wrong kind of abstraction." (14) All science involves a degree of abstraction from the world of reality. In the 20th century, the advent of the predicate calculus and the digital computer profoundly affected our view of mathematics.

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