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Differential equations, dynamical systems, and linear algebra /

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 sel...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Hirsch, Morris W., 1933- (Autor), Smale, Stephen, 1930- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, [1974]
Colección:Pure and applied mathematics (Academic Press) ; 60.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo

MARC

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100 1 |a Hirsch, Morris W.,  |d 1933-  |e author. 
245 1 0 |a Differential equations, dynamical systems, and linear algebra /  |c Morris W. Hirsch and Stephen Smale. 
260 |a New York :  |b Academic Press,  |c [1974] 
300 |a 1 online resource (xi, 358 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Pure and applied mathematics; a series of monographs and textbooks ;  |v v. 60 
520 |a 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. 
505 0 |a 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. 
504 |a Includes bibliographical references (pages 341-342). 
588 0 |a Print version record. 
650 0 |a Differential equations. 
650 0 |a Algebras, Linear. 
650 6 |a �Equations diff�erentielles.  |0 (CaQQLa)201-0003667 
650 6 |a Alg�ebre lin�eaire.  |0 (CaQQLa)201-0001189 
650 7 |a MATHEMATICS  |x Differential Equations  |x General.  |2 bisacsh 
650 7 |a Algebras, Linear  |2 fast  |0 (OCoLC)fst00804946 
650 7 |a Differential equations  |2 fast  |0 (OCoLC)fst00893446 
650 1 7 |a Differentiaalvergelijkingen.  |2 gtt 
650 1 7 |a Dynamische systemen.  |2 gtt 
650 1 7 |a Lineaire algebra.  |2 gtt 
700 1 |a Smale, Stephen,  |d 1930-  |e author. 
776 0 8 |i Print version:  |a Hirsch, Morris W., 1933-  |t Differential equations, dynamical systems, and linear algebra.  |d New York : Academic Press, [1974]  |z 0123495504  |z 9780123495501  |w (DLC) 73018951  |w (OCoLC)796918 
830 0 |a Pure and applied mathematics (Academic Press) ;  |v 60. 
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856 4 0 |u https://sciencedirect.uam.elogim.com/science/bookseries/00798169/60  |z Texto completo