James S. He is the author of four nonfiction books, including the "New York Times" bestseller. He lives in the Boston area with his wife, Sheryl, and their children, Amanda and Garrett. Born and raised in St.
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This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.
First Examples. Newton's Equation and Kepler's Law. Linear Systems and Exponentials of Operators. Linear Systems and Canonical Forms of Operators. Contractions and Generic Properties of Operators. Fundamental Theory. Stability of Equilibria. Differential Equations for Electrical Circuits. The Poincare-Bendixson Theorem. Periodic Attractors. Classical Mechanics. Nonautonomous Equations and Differentiability of Flows. Perturbation Theory and Structural Stability.
Elementary Facts. On Canonical Forms. The Inverse Function Theorem. Answers to Selected Problems. We are always looking for ways to improve customer experience on Elsevier. We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit. If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.
Thanks in advance for your time. Skip to content. Search for books, journals or webpages All Pages Books Journals. However, due to transit disruptions in some geographies, deliveries may be delayed. View on ScienceDirect. Authors: Morris W. Hirsch Stephen Smale Robert L. Devaney Stephen Smale. Imprint: Academic Press. Published Date: 28th April Page Count: Flexible - Read on multiple operating systems and devices. Easily read eBooks on smart phones, computers, or any eBook readers, including Kindle.
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Differential Equations, Dynamical Systems, and Linear Algebra