The Maple V Primer, Release 4  book cover
1st Edition

The Maple V Primer, Release 4

ISBN 9780849326813
Published November 6, 1996 by CRC Press
160 Pages

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Book 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
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
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
Integer solutions
Chapter 4. Data types
Data conversions
Chapter 5. Calculus
Defining functions
Composition of functions
Summation and product
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
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
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
Student calculus
Other packages
Glossary of commands
Further reading

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