Articoli correlati a Differential Equations: A Modeling Perspective
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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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Experience the power of mathematical modeling.
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.
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