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
"This book, with its many practice examples, would be ideal for those in the first year of a mathematics degree course and for those studying for working in physics or any area requiring a good knowledge of differential equations."
(Adrian Hamilton
Institute of Mathematics and its Applications)
"... [Introduction to Differential Equations Using Sage] provides a nice mix of theory and symbolic computation. The pedagogy is excellent and the exercises are models of their kind."
(
Gazette of the Australian Mathematical Society)