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Introduction to Differential Equations Using Sage

, 280 pages

3 halftones, 80 line drawings

July 2012



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Introduction to Differential Equations Using Sage

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

David Joyner is a professor in the Mathematics Department at the U.S. Naval Academy. He is the author of Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys, also published by Johns Hopkins. Marshall Hampton is a professor in the Department of Mathematics and Statistics at the University of Minnesota, Duluth.

"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."

"... [ 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."

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