Differential Equations, Dynamical Systems, and Linear Algebra
By- Morris Hirsch, University of Wisconsin, Madison, USA
- Stephen Smale, University of California, Berkeley, USA
Audience
Advanced undergraduate and graduate students studying mathematics.
Included in series
Pure and Applied Mathematics
Pure and Applied Mathematics
,
Published: April 1974
Imprint: Academic Press
ISBN: 978-0-12-349550-1
Contents
- Preface. First Examples. Newton's Equation and Kepler's Law. Linear Systems with Constant Coeffecients and Real Eigenvalues. Linear Systems with Constant Coefficients and Complex Eigenvalues. 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. Ecology. Periodic Attractors. Classical Mechanics. Nonautonomous Equations and Differentiability of Flows. Perturbation Theory and Structural Stability. Elementary Facts. Polynomials. On Canonical Forms. The Inverse Function Theorem. References. Answers to Selected Problems. Index.
