Synopsis
This effective and practical new edition continues to focus on differential equations as a powerful tool in constructing mathematical models for the physical world. It emphasizes modeling and visualization of solutions throughout. Each chapter introduces a model and then goes on to look at solutions of the differential equations involved using an integrated analytical, numerical, and qualitative approach. The authors present the material in a way that’s clear and understandable to students at all levels. Throughout the text the authors convey their enthusiasm and excitement for the study of ODEs.
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About the Author
Robert L. Borrelli is the author of Differential Equations: A Modeling Perspective, 2nd Edition, published by Wiley. Courtney S. Coleman is the author of Differential Equations: A Modeling Perspective, 2nd Edition, published by Wiley.
From the Back Cover
Experience the power of mathematical modeling.
Borrelli and Coleman’s DIFFERENTIAL EQUATIONS: A MODELINGPERSPECTIVE focuses on differential equations as a powerful tool inconstructing mathematical models for the physical world.
Right from the start, the book provides a gentle introduction tomodeling in Chapter 1. This chapter gathers the elementaryprinciples of modeling in one place and uses simple examples. Fromthere, you’ll explore specific models and examine solutionsof the differential equations involved using an integratedanalytical, numerical, and qualitative approach.
Build and solve your own ODEs with the ultimate ODE powertool!
This edition includes a CD containing ODEArchitect–a prize-winning, state-of-the-art NSF-sponsoredlearning software package, which is Windows-compatible. A solvertool allows you to build your own models with ODEs and study themin a truly interactive point-and-click environment. TheArchitect includes an interactive library of over onehundred model differential systems with graphs of solutions. TheArchitect also has 14 interactive multimedia modules, whichprovide a range of models and phenomena, from a golf game tochaos.
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Differential Equations : A Modeling Perspective
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