Title:
Differential equations, dynamics systems, and linear algebra
Personal Author:
Series:
Pure and applied mathematics : a series of monographs and textbooks
Publication Information:
New York : academic Press, 1974
ISBN:
9780123495501
Added Author:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000001875875 | QA371 H57 1974 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
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.
Table of 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 |
