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Über dieses Produkt
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.