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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
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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