Differential Equations: from Calculus to Dynamical Systems
Virginia W. Noonburg
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Differential Equations: from Calculus to Dynamical Systems

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A thoroughly modern textbook for a differential equations course. The examples and exercises emphasize modelling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems.