Title Maple
Subtitle A Primer
Author Bernard V Liengme
ISBN 9781643274850
List price USD 69.95
Price outside India Available on Request
Original price
Binding Paperback
No of pages 172
Book size 178 x 254 mm
Publishing year 2019
Original publisher Morgan & Claypool Publishers (Eurospan Group)
Published in India by .
Exclusive distributors Viva Books Private Limited
Sales territory India, Sri Lanka, Bangladesh, Pakistan, Nepal, .
Status New Arrival
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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the Maple help facility is too detailed and lacks physical science examples, many Maple-related websites are out of date giving readers information on older Maple versions.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.

 

 
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