Differential Equations, Dynamical Systems, and Linear Algebra
Published on 14. May 2014
373 pages
978-0-08-087376-3 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
San Diego
United States
Product notice
Windows
ISBN-13
978-0-08-087376-3 (9780080873763)
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Schweitzer Classification
Other editions
Additional editions
M.W. Hirsch | Sverre O. Smale
Differential Equations, Dynamical Systems and Linear Algebra
Book
04/1974
Academic Press
€68.08
Article exhausted; check for reprint
Persons
Morris W. Hirsch works at the University of Wisconsin, Madison, USA.Robert L. Devaney works in the Department of Mathematics at Boston University, MA, USA.Stephen Smale works in the Department of Mathematics at University of California, Berkeley, USA.
Content
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.
