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Discrete Mathematics Using a Computer

✍ Scribed by John O’Donnell PhD, Cordelia Hall PhD, Rex Page PhD (auth.)


Publisher
Springer-Verlag London
Year
2006
Tongue
English
Leaves
446
Edition
2
Category
Library

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✦ Synopsis


Discrete Mathematics Using a Computer offers a new, "hands-on" approach to teaching Discrete Mathematics. Using software that is freely available on Mac, PC and Unix platforms, the functional language Haskell allows students to experiment with mathematical notations and concepts -- a practical approach that provides students with instant feedback and allows lecturers to monitor progress easily.

This second edition of the successful textbook contains significant additional material on the applications of formal methods to practical programming problems. There are more examples of induction proofs on small programs, as well as a new chapter showing how a mathematical approach can be used to motivate AVL trees, an important and complex data structure.

Designed for 1st and 2nd year undergraduate students, the book is also well suited for self-study. No prior knowledge of functional programming is required; everything the student needs is either provided or can be picked up easily as they go along.

Key features include:

β€’ Numerous exercises and examples

β€’ A web page with software tools and additional practice problems, solutions, and explanations, as well as course slides

β€’ Suggestions for further reading

Complete with an accompanying instructor's guide, available via the web, this volume is intended as the primary teaching text for Discrete Mathematics courses, but will also provide useful reading for Conversion Masters and Formal Methods courses.

Visit the book’s Web page at: http://www.dcs.gla.ac.uk/~jtod/discrete-mathematics/

✦ Table of Contents


Front Matter....Pages 1-1
Introduction to Haskell....Pages 3-35
Equational Reasoning....Pages 37-46
Recursion....Pages 47-60
Introduction....Pages 61-81
Trees....Pages 83-106
Front Matter....Pages 107-107
Propositional Logic....Pages 109-162
Predicate Logic....Pages 163-185
Front Matter....Pages 187-187
Set Theory....Pages 189-206
Inductively Defined Sets....Pages 207-222
Relations....Pages 223-265
Functions....Pages 267-309
Front Matter....Pages 311-311
The AVL Tree Miracle....Pages 313-353
Discrete Mathematics in Circuit Design....Pages 355-375

✦ Subjects


Discrete Mathematics in Computer Science; Mathematical Logic and Formal Languages; Algorithm Analysis and Problem Complexity


πŸ“œ SIMILAR VOLUMES


Discrete Mathematics Using a Computer
✍ John O'Donnell, Cordelia Hall, Rex Page πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English

<P><EM>Discrete Mathematics Using a Computer</EM> offers a new, ''hands-on'' approach to teaching Discrete Mathematics. Using software that is freely available on Mac, PC and Unix platforms, the functional language Haskell allows students to experiment with mathematical notations and concepts -- a p

Discrete Mathematics Using a Computer
✍ John O’Donnell PhD, Cordelia Hall PhD, Rex Page PhD (auth.) πŸ“‚ Library πŸ“… 2006 πŸ› Springer-Verlag London 🌐 English

<p><P><EM>Discrete Mathematics Using a Computer</EM> offers a new, "hands-on" approach to teaching Discrete Mathematics. Using software that is freely available on Mac, PC and Unix platforms, the functional language Haskell allows students to experiment with mathematical notations and concepts -- a