Introduction to Differential Equations Using Sage

David Joyner, Marshall Hampton

• Publisher: Johns Hopkins University Press
• Year: 2012
• eBook ISBN: 9781421407241
• Edition: 0
• Topic: Mathématiques
• Subtopic: Mathématiques appliquées

Differential equations can be taught using Sage as an inventive new approach.

David Joyner and Marshall Hampton's lucid textbook explains differential equations using the free and open-source mathematical software Sage.

Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping famed mathematician William Stein turn the program into a usable and popular choice.

Introduction to Differential Equations Using Sage extends Stein's work by creating a classroom tool that allows both differential equations and Sage to be taught concurrently. It's a creative and forward-thinking approach to math instruction.

Topics include:

• First-Order Differential Equations
• Incorporation of Newtonian Mechanics
• Second-Order Differential Equations
• The Annihilator Method
• Using Linear Algebra with Differential Equations
• Nonlinear Systems
• Partial Differential Equations
• Romeo and Juliet

Table of contents

• Cover Page
• Title Page
• Copyright Page
• Dedication
• Contents
• Preface
• Acknowledgments
• 1 First-order differential equations
• 2 Second-order differential equations
• 3 Matrix theory and systems of DEs
• 4 Introduction to partial differential equations
• Bibliography
• Index
• Footnotes