TAILIEUCHUNG - Maple Experiments in Discrete Mathematics

A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and Maple™ to MATLAB® and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities. | Maple Experiments in Discrete Mathematics James L. Hein Portland State University March 2009 Copyright 2009 by James L. Hein. All rights reserved. Contents 0 Introduction to Getting Some Programming 1 Elementary Notions and Logic Set List String Graph Spanning Trees .15 2 Facts About The Map Function Compositions .20 If-Then-Else Definitions for Functions .21 Evaluating Comparing Type Checking .26 Properties of Functions .27 3 Construction Examples of Recursively Defined Functions .29 Strings and Palindromes .31 A Recursively Defined Sorting Function .32 Binary Type Checking for Inductively Defined Sets .34 Inductively Defined Sets .35 Subsets and Power Sets .36 2 Contents 3 4 Binary Composing Two Binary Constructing Closures of Binary Testing for Warshall Floyd 5 Analysis Finite Permutations .50 Combinations .51 Error Detection and The Birthday It Pays to Switch .58 Markov Efficiency and Accumulating Parameters .63 Solving Recurrences .65 Generating The Factorial and GAMMA Orders of Answers to Selected Experiments .75 .

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