**Description:**

Maple*
*is a comprehensive symbolic mathematics application which is well suited
for demonstrating physical science topics and solving associated problems.
Because Maple is such a rich application, it has a somewhat steep learning
curve. Most existing texts concentrate on mathematics; the Maple help facility
is too detailed and lacks physical science examples, many Maple-related
websites are out of date giving readers information on older Maple versions.

This
book records the author’s journey of discovery; he was familiar with SMath but
not with Maple and set out to learn the more advanced application. It leads
readers through the basic Maple features with physical science worked examples,
giving them a firm base on which to build if more complex features interest
them.

Contents:

**Preface **

**Author biography**

**Chapter 1. Starting
Maple**
• What is Maple? • The Maple interface • Entering simple expressions • The use
of *evalf[d]*(term) • Some handy algebraic commands • Context menus •
Formatted output with *printf* • Data structures • Defining a function •
Debugging a worksheet

**Chapter 2.
Introductory examples** • Ammonia • Water pump • Telescope
resolution • Velocity of a bullet • Solve puzzle • Vertex form • Classic
inclined plane problem • Baseball problem • Center of mass • Trough problem

**Chapter 3. Plotting
with Maple** • Starting with *plot* • Plot tools • Customizing
with the context menu • Customizing a plot with parameters • A logarithmic plot
• Using *display* for multifunction plots • Two plots side by side •
Plotting a family of curves • Plotting digitalized data • Parametric plots •
Using the *coords = polar* option • Implicit plots • Animated plots •
Exploring with the *Explore* command • Plot with two axes •
Three-dimensional plot

**Chapter 4. Solving
equations and systems of equations** • The *solve *command
• Solving inequalities • Stress analysis • The *assign* command • The *fsolve*
command • Systems of equations with *fsolve* • Finding complex roots •
Restricting the root to a range • Example of using *isolve *• Off to Mars

**Chapter 5. Using units
and physical constants** • Some basic examples • Examples of usage •
Using the *Units* command • Temperature conversions • Physical constants •
Gravity constants *G* and *g* • Pump problem revisited

**Chapter 6. Linear
algebra** • Matrices and vectors • Simple matrix and vector math •
Linear algebra • Solving a system of equations • Introduction to eigenvectors
and eigenvalues • Notes on Maple vector commands • Some vector calculations

**Chapter 7.
Introduction to calculus** • Looking for the limit • Some
differentiation examples • The *D* operator • Implicit differentiation •
Examples of critical points • Some integration examples • Definite integrals •
The *assume* command • Finding the area between two curves • Introduction
to ODEs

**Chapter 8.
Differential equations** • Initial value problems (IVPs) • Entering
ODEs and initial/boundary conditions • Boundary value problems (BVPs) • Family
of solutions • Numerical integration • The simple pendulum • Coupled ODEs •
Singular and general solutions • Direction fields

**Chapter 9. Procedures** •
Programming structures • Simple examples • Procedures • Several ways to find
the GCD • Further procedure examples • Fourier expansion • Common errors in
procedures

**Chapter 10. Working
with external files** • Export and import a matrix • Using *fprintf*
• Using *readdata* • Read data from an Excel file • Write data to an Excel
worksheet • The Task Assistant Import • Copy and paste

**Chapter 11. Regression
and statistics** • Linear regression • Non-linear regression
• Descriptive statistics • Sample or population? • Hypothesis testing •
Combinations and permutations

About the Author:

**Bernard Liengme **is a retired Professor of
Chemistry and Lecturer in Information Systems of St. Francis Xavier University
in Nova Scotia, Canada where he taught for over 36 years. He is the author of:
(2 editions), and *A Guide to Microsoft Excel for Scientists and Engineers*
(6 editions). The latter has been adopted by various engineering schools
worldwide. Bernard has been awarded the Microsoft Most Valued Professional
award in Excel in each of the last eight years.

Target Audience:

It
leads readers through the basic Maple features with physical science worked
examples, giving them a firm base on which to build if more complex features
interest them. This book is useful for
people interested in mathematics, physical science, computer application and
mathematical physics.