Titlebook: Sets, Logic and Maths for Computing; David Makinson Textbook 2020Latest edition Springer Nature Switzerland AG 2020 Computer Science.Compu

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Associating One Item with Another: Functionshe surprisingly versatile . rule. Finally, we identify some very simple kinds of function that appear over and again (., ., .,. and . functions), and explain the use of functions to represent . and ..

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Weighing the Odds: Probability back to the mathematical work, introducing the concept of ., outlining its behaviour, connections with ., and deployment in .. An interlude reflects on a curious configuration known as Simpson’s paradox. In the final section we explain the notions of a . and ..

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Collecting Things Together: Setsidea of what sets are, we present the basic relations between them: ., ., . ., and .. We describe two common ways of identifying sets, and look closely at the ., basic Boolean operations, generalized meet and union, and powersets.

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Associating One Item with Another: Functionstical definition as a special kind of relation. We then see how general concepts for relations play out in this particular case (., ., ., ., ., ., .) and distinguish some important kinds of function (., ., .). These concepts permit us to link functions with counting, via the principles of ., . and t

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Recycling Outputs as Inputs: Induction and Recursionhe domain of the positive integers, and that is where we begin. We explain induction as a method for . ., and recursion as a method for . on the same domain, and describe two different methods for . such functions. From this familiar terrain, the basic concepts of recursion and induction are extende

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Counting Things: Combinatoricsumerical although they have important numerical applications as, for example, sets of integers or recursive definitions on the natural numbers. In this chapter we turn to directly quantitative matters, and specifically to problems of counting. We tackle two topics: rules for determining the number o

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