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Differential Equations, Dynamical Systems, and Linear Algebra by Stephen Smale and Morris W. Hirsch (1974, Hardcover)

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About this product

Product Identifiers

PublisherElsevier Science & Technology Books

ISBN-100123495504

ISBN-139780123495501

eBay Product ID (ePID)34670

Product Key Features

Number of Pages358 Pages

LanguageEnglish

Publication NameDifferential Equations, Dynamical Systems, and Linear Algebra

SubjectDifferential Equations / General

Publication Year1974

TypeTextbook

Subject AreaMathematics

AuthorStephen Smale, Morris W. Hirsch

FormatHardcover

Dimensions

Item Weight22.4 Oz

Item Length9 in

Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN73-018951

Dewey Edition19

IllustratedYes

Dewey Decimal515.3/5

Table Of ContentPreface. 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.

SynopsisThis 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.

LC Classification NumberQA184