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Hirsch, Devaney, and Smale s classic "Differential Equations,
Dynamical Systems, and an Introduction to Chaos" has been used by
professors as the primary text for undergraduate and graduate level
courses covering differential equations. It provides a theoretical
approach to dynamical systems and chaos written for a diverse
student population among the fields of mathematics, science, and
engineering. Prominent experts provide everything students need to
know about dynamical systems as students seek to develop sufficient
mathematical skills to analyze the types of differential equations
that arise in their area of study. The authors provide rigorous
exercises and examples clearly and easily by slowly introducing
linear systems of differential equations. Calculus is required as
specialized advanced topics not usually found in elementary
differential equations courses are included, such as exploring the
world of discrete dynamical systems and describing chaotic
systems.
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