Differential Equations: A Modeling Perspective

Borrelli and Coleman’s DIFFERENTIAL EQUATIONS: A MODELING PERSPECTIVE focuses on differential equations as a powerful tool in constructing mathematical models for the physical world.

Right from the start, the book provides a gentle introduction to modeling in Chapter 1. This chapter gathers the elementary principles of modeling in one place and uses simple examples. From there, you’ll explore specific models and examine solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach.

Build and solve your own ODEs with the ultimate ODE power tool!

This edition includes a CD containing ODE Architect–a prize-winning, state-of-the-art NSF-sponsored learning software package, which is Windows-compatible. A solver tool allows you to build your own models with ODEs and study them in a truly interactive point-and-click environment. The Architect includes an interactive library of over one hundred model differential systems with graphs of solutions. The Architect also has 14 interactive multimedia modules, which provide a range of models and phenomena, from a golf game to chaos.