Overview

This book is designed to teach introductory computer programming using Maple. It aims to infuse more mathematically oriented programming exercises and problems than those found in traditional programming courses while reinforcing and applying concepts and techniques of calculus. All the important, basic elements of computer programming can be easily learned within the interactive and user friendly environment of a Computer Algebra System (CAS) such as Maple. Most chapters feature case studies that provide greater depth on some topics and also serve to illustrate the methodology of analysis and design of code for more complex problems. This book is directed at undergraduates in the fields of math, science, or secondary education. The CD-ROM that accompanies the book contains the electronic versions of all the examples in the text with additional discussion, related material, and optional exercises.

Full Product Details

Author:   David Betounes ,  Mylan Redfern
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   2002
Dimensions:   Width: 17.80cm , Height: 2.30cm , Length: 25.40cm
Weight:   2.110kg
ISBN:  

9780387953311

ISBN 10:   0387953310
Pages:   412
Publication Date:   07 December 2001
Audience:   College/higher education ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1 Preliminaries.- 1.1 Maple as a Programming Language.- 1.2 Analyzing Programming Tasks.- 1.3 Documentation and Coding.- 1.4 Maple/Calculus Notes.- 2 Basic Aspects of Maple.- 2.1 Variables and Constants.- 2.2 Expressions and Assignments.- 2.3 Notation in Mathematics and in Maple.- 2.4 Sequences, Lists, Sets, and Arrays.- 2.5 The Do Loop.- 2.6 Procedures: A First Glance.- 2.7 Evaluation Rules.- 2.8 Maple/Calculus Notes.- 3 Looping and Repetition.- 3.1 The Basic Loop.- 3.2 The Do Loop with All Its Features.- 3.3 Case Study: Iterated Maps.- 3.4 Maple/Calculus Notes.- 4 Conditionals — Flow of Control.- 4.1 Logic in Mathematics.- 4.2 Relational and Logical Operators.- 4.3 Boolean Expressions.- 4.4 The if-then-else Statement.- 4.5 The if-then-elif-then Statement.- 4.6 Case Study: Riemann Sums for a Double Integral.- 4.7 Maple/Calculus Notes.- 5 Procedures.- 5.1 Maple’s Procedure Statement.- 5.2 Procedures — Some Details.- 5.3 Groups of Related Procedures.- 5.4 Case Study: Trig Integrals.- 5.5 Maple/Calculus Notes.- 6 Data Structures.- 6.1 Expressions and Operands.- 6.2 Quotes and Strings.- 6.3 Numbers.- 6.4 Lists: Vector Methods in Geometry.- 6.5 Arrays and Tables.- 6.6 Sets: The Cantor Set and Limiting Covers.- 6.7 Polynomials.- 6.8 Case Study: Partial Fractions.- 7 Graphics Programming.- 7.1 Preliminary Examples.- 7.2 Maple’s Plot Structures.- 7.3 Approximating Curves and Surfaces.- 7.4 The GRID and MESH Objects.- 7.5 Animations.- 7.6 Maple/Calculus Notes.- 8 Recursion.- 8.1 Recurrence Relations — Series Solutions.- 8.2 Reduction Formulas for Integration.- 8.3 Sorting.- 8.4 Numbers.- 8.5 Maple/Calculus Notes.- 9 Programming Projects.- 9.1 Projects on Crystal Growth.- 9.2 Projects on Inscribed Polygons.- 9.3 Projects on Random Walks.- 9.4 Projects on Newton’sSecond Law.- A Maple Reference.- A.1 Expressions and Functions.- A.2 Plotting and Visualization.- A.3 Programming.- A.4 Packages.

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