The Maple V Primer, Release 4: 1st Edition (Paperback) book cover

The Maple V Primer, Release 4

1st Edition

By Frank Garvan

CRC Press

160 pages

Purchasing Options:$ = USD
Paperback: 9780849326813
pub: 1996-11-06
$45.95
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Description

Learn how to use the modern techniques offered by Maple V, a powerful and popular computer algebra system. The Maple V Primer: Release 4 covers all the basic topics a reader needs to know to use Maple V in its major revision encompassed in Release 4 to do algebra and calculus, solve equations, graph 2- and 3-dimensional plots, perform simple programming tasks, and prepare mathematical documents.

Every common command and function is supported by a specific example, so you won't waste time struggling with the syntax. Graphs, plots, and other Maple output are provided along with the syntax, so the user knows what to expect when she or he uses a particular command. And all the examples come with a short discussion, answering questions you might have about applying the example to your own work. This is a painless - even fun - way to learn how to use Maple V.

Table of Contents

Chapter 1. Getting started

Starting a MAPLE V session

Basic syntax

Editing mistakes

Help

Quitting MAPLE V

Chapter 2. MAPLE V as a calculator

Exact arithmetic and basic functions

Floating-point arithmetic

Chapter 3. High school algebra

Polynomials and rational functions

Factoring a polynomial

Expanding an expression

Collecting like terms

Simplifying an expression

Simplifying radicals

Simplifying rational functions

Coefficients of a polynomial

Substituting into an expression

Restoring variable status

Equations

Left and right-hand sides

Finding exact solutions

Finding approximate solutions

Assigning solutions

Fun with integers

Complete integer factorization

Quotient and remainder

Gcd and lcm

Primes

Integer solutions

Chapter 4. Data types

Sequences

Sets

Lists

Tables

Arrays

Data conversions

Chapter 5. Calculus

Defining functions

Composition of functions

Summation and product

Limits

Differentiation

Extrema

Integration

Techniques of integration

Taylor and series expansions

Solving differential equations

Asymptotic expansions

Chapter 6. Graphics

2-dimensional plotting

Restricting domain and range

Parametric plots

Multiple plots

Polar plots

Plotting implicit functions

Plotting points

Title and text in a plot

Plotting options

Saving and printing a plot

3-dimensional plotting

Parametric plots

Multiple plots

Space curves

Contour plots

Plotting surfaces defined implicitly

Title and text in a plot

3-dimensional plotting options

Animation

Chapter 7. Linear Algebra

Vectors, arrays and matrices

Matrix operations

Elementary row operations

Gaussian elimination

Inverses and determinants

Row space, column space, nullspace

Eigenvectors and diagonalization

Jordan form

Random matrices

More linalg functions

Chapter 8. MAPLE V Programming

Conditional statements

Loops

Procedures

Local and global variables

Reading and saving procs

Viewing built-in MAPLE V code

Chapter 9. Saving and reading files

Saving a Maple session

Reading MAPLE V programs

Saving worksheets and LaTeX

Chapter 10. Document preparation

Adding text

Inserting math into text

Adding titles and headings

Creating a subsection

Cutting and pasting

Bookmarks and hypertext

Chapter 11. Overview of Packages

Numerical approximation

Combinatorial functions

Number Theory

Orthogonal polynomials

Statistics

Student calculus

Other packages

Glossary of commands

Further reading

Index

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT003000
MATHEMATICS / Applied
MAT021000
MATHEMATICS / Number Systems