Differential Equations, Dynamical Systems, and Linear Algebra

ISBN-10: 0123495504

ISBN-13: 9780123495501

Edition: 1st 1974

List price: $83.95
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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.
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Book details

List price: $83.95
Edition: 1st
Copyright year: 1974
Publisher: Elsevier Science & Technology Books
Binding: Hardcover
Pages: 358
Size: 6.00" wide x 9.00" long
Weight: 1.760
Language: English

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.
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