Maple By Example

Maple by Example, Third Edition, is a reference/text for beginning and experienced students, professional engineers, and other Maple users. This new edition has been updated to be compatible with the most recent release of the Maple software. Coverage includes built-in Maple commands used in courses and practices that involve calculus, linear algebra, business mathematics, ordinary and partial differential equations, numerical methods, graphics and more.

• Updated coverage of Maple features and functions
• Backwards compatible for all versions
• New applications from a variety of fields, including biology, physics and engineering
• Expanded topics with many additional examples

Students and practitioners of mathematics, engineering, and statistics, from the most elementary to the most advanced levels

Getting Started
Introduction to Maple
Loading Packages
Getting Help from Maple

Basic operations on Numbers, Expressions, and Functions:
Numerical Calculations and Built-In
Functions
Expressions and Functions: Elementary Algebra
Graphing Functions, Expressions, and Equations
Solving Equations and Inequalities

Calculus
Limits
Differential Calculus
Integral Calculus
Series
Multi-Variable Calculus

Introduction to Lists and Tables
Lists and List Operations
Manipulating Lists: More on op and map
Mathematics of Finance
Other Applications

Matrices and Vectors: Topics from Linear Algebra and Vector Calculus
Nested Lists: Introduction to Matrices, Vectors
and Matrix Operations
Linear Systems of Equations
Selected Topics from Linear Algebra
Maxima and Minima Using Linear Programming
Selected Topics from Vector Calculus

Applications Related to Ordinary and Partial Differential Equations
First-Order Ordinary Differential Equations
Second-Order Linear Equations
Higher-Order Linear Equations
Systems of Equations
Some Partial Differential Equations

Bibliography

Index