Computing with Maple

Francis Wright

534 pages, parution le 02/11/2001

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Résumé

Powerful, flexible, easy to use-small wonder that the use of Maple® continues to increase, particularly since the latest releases of Maple. The built-in nature of its numerical and graphical facilities gives Maple a distinct advantage over traditional programming languages, yet to date, no textbook has used that advantage to introduce programming concepts. Moreover, few books based on Maple's latest versions even exist.Computing with Maple presents general programming principles using Maple as a concrete example of a programming language. The author first addresses the basic Maple functions accessible for interactive use then moves to actual programming, discussing all of the programming facilities that Maple provides, including control structures, data types, graphics, spreadsheets, text processing, and object oriented programming. Reflecting Maple's primary function as a computational tool, the book's emphasis is on mathematical examples, and it includes a full chapter devoted to algebraic programming.Classroom tested since 1995, the material in Computing with Maple is particularly appropriate for an intermediate-level introductory course in programming for both mathematics and computing students. It includes numerous exercises and test questions, with Maple worksheets, contact information, and supplementary material available on the Internet.

Table of Contents

INTRODUCTION

Learning Computing
Background References
Fundamental Terminology
Maple Interfaces
The Maple Worksheet Interface
Exercises: The Worksheet Interface
REVIEW OF BASICS
Maple Syntax: Special Symbols
Assignment, Evaluation, Substitution, and Simplification
Common Errors
Sequences, Lists, and Sets
Characters and Strings
Exercises
TWO-DIMENSIONAL PLOTTING
Simple Plotting
The plots Package and Animation
A Graphical Investigation of the Cardioid
Exporting Plots (and Worksheets)
Appendix: Code to plot the Figures
Exercises: The Cycloid
THREE-DIMENSIONAL PLOTTING
The plot3d Function
Interacting with Three-Dimensional Plots
Three-Dimensional Plotting Options
Using the plots Package
Three-Dimensional Bouncing Ball Animation
Exporting Three-Dimensional Plots
Appendix: Code to Plot the Figures
Exercises
NUMERICAL AND SEMI-NUMERICAL COMPUTATION
Number Systems
Floating-Point Computation in Maple
Multiple Roots
Aliases and Algebraic Numbers
Computing with Modular Integers
Appendix: Code to Plot the Figures
Exercises
NUMERICAL LINEAR ALGEBRA
Linear Algebra in Maple
Numerical Linear Algebra
Interaction: Linear Algebra
Viewing Large Matrices and Vectors
Using the LinearAlgebra Package
Solving Systems of Linear Equations
Special Matrices
Eigenvalue Problems
Ill Conditioned Problems
Under and Over-Determined Problems
Exercises
LOGIC AND CONTROL STRUCTURES
Relational Operators:

Caractéristiques techniques

	PAPIER
Éditeur(s)	CRC Press (Taylor and Francis Group)
Auteur(s)	Francis Wright
Parution	02/11/2001
Nb. de pages	534
Format	15,5 x 23,4
Couverture	Broché
Poids	770g
Intérieur	Noir et Blanc
EAN13	9781584882367
ISBN13	978-1-58488-236-7