Sets, Logic and Maths for Computing

Sets, Logic and Maths for Computing

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This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.Since #(A)D400agt;366 #(B) the pigeonhole principle tells us that there is a b2 B such that bDf(a) for two distinct a 2 A. This answers the first part of the question. Also, since #(A)D400agt;396D33 #(C), the generalized pigeonhole principle tells us anbsp;...

Title:Sets, Logic and Maths for Computing
Author: David Makinson
Publisher:Springer Science & Business Media - 2012-02-27

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