Titlebook: Discrete Mathematics Using a Computer; Cordelia Hall,John O’Donnell Textbook 20001st edition Springer-Verlag London 2000 Computer.Correctn

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Introduction to Haskell,The topic of this book is discrete mathematics with an emphasis on its connections with computers:

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Recursion,Recursion is a . style of definition commonly used in both mathematics and computer science. It is a fundamental programming tool, particularly important for manipulating data structures.

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Induction,A common type of problem is to prove that an object . has some property .. The mathematical notation for this is ., where . stands for predicate (or property). For example, if . is 6 and . is the predicate ‘. is an even number’, then we could express the statement ‘6 is an even number’ with the shorthand mathematical statement .(6).

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Functions,A function is an abstract model of computation: you give it some input, and it produces a result. The essential aspect is that the result is completely determined by the input: if you repeatedly apply the same function to the same argument, you will always obtain the same result. Examples of functions include:

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Discrete Mathematics in Circuit Design,The techniques of discrete mathematics which you have been studying in this book are used throughout computer science. So far we have seen many small examples of the application of mathematics to computing, and we have also used programming to help with the mathematics.

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