Differential equations, dynamical systems, and linear algebra / [by] Morris W. Hirsch and Stephen Smale.

By: Hirsch, Morris W, 1933-.

Contributor(s): Smale, Stephen, 1930-.

Material type: materialTypeLabel

BookSeries: Pure and applied mathematics (Academic Press): 60.Publisher: New York : Academic Press, [1974]Description: xi, 358 p. : ill. ; 25 cm.ISBN: 0123495504.Subject(s): Differential equations

| Algebras, Linear

DDC classification: 515.35

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Item type	Current library	Call number	Copy number	Status	Date due	Barcode	Item holds
General Lending	MTU Bishopstown Library Store Item	515.35 (Browse shelf(Opens below))	1	Available		00012058

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Enhanced descriptions from Syndetics:

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.

With answers to selected problems.

Includes bibliographical references (p. [341]-342).

Table of contents provided by Syndetics

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