Discrete Mathematics Using a Computer

By: John O'Donnell, Cordelia Hall, Rex Page

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Paperback | 14 August 2006 | Edition Number 2

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464 Pages

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Revised

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22.86 x 15.24 x 2.54

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Computer science abounds with applications of discrete mathematics, yet s- dents of computer science often study discrete mathematics in the context of purely mathematical applications. They have to ?gure out for themselves how to apply the ideas of discrete mathematics to computing problems. It is not easy. Most students fail to experience broad success in this enterprise, which is not surprising, since many of the most important advances in science and engineeringhavebeen, precisely, applicationsofmathematicstospeci?cscience and engineering problems. Tobesure,mostdiscretemathtextbooksincorporatesomeaspectsapplying discrete math to computing, but it usually takes the form of asking students to write programs to compute the number of three-ball combinations there are in a set of ten balls or, at best, to implement a graph algorithm. Few texts ask students to use mathematical logic to analyze properties of digital circuits or computer programs or to apply the set theoretic model of functions to understand higher-order operations. A major aim of this text is to integrate, tightly, the study of discrete mathematics with the study of central problems of computer science.

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You Can Find This Book In

Non-Fiction Mathematics Discrete Mathematics Computing & I.T.Computer Science Mathematical Foundation Mathematical Logic Databases Data Capture & Analysis Computer Programming & Software Development Algorithms & Data Structures

Introduction to Haskell	p. 3
Equational reasoning	p. 37
Recursion	p. 47
Induction	p. 61
Trees	p. 83
Propositional logic	p. 109
Predicate logic	p. 163
Set theory	p. 187
Inductively defined sets	p. 207
Relations	p. 223
Functions	p. 267
The AVL tree miracle	p. 313
Discrete mathematics in circuit design	p. 355
Table of Contents provided by Blackwell. All Rights Reserved.

Discrete Mathematics Using a Computer

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