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 self...
Guardado en:
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| Otros Autores: | |
| Formato: | Libro |
| Lenguaje: | Inglés |
| Publicado: |
New York :
Academic Press,
c1974.
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| Colección: | Pure and applied mathematics (Academic Press) ;
60. |
| Materias: | |
| Aporte de: | Registro referencial: Solicitar el recurso aquí |
| LEADER | 02133cam-a2200313---4500 | ||
|---|---|---|---|
| 001 | 990000180600204151 | ||
| 005 | 20180214132939.0 | ||
| 008 | 731217s1974----nyua-----b----001-0-eng-- | ||
| 010 | |a 73018951 //r862 | ||
| 020 | |a 0123495504 | ||
| 020 | |a 9780123495501 | ||
| 035 | |a (OCoLC)000018060 | ||
| 035 | |a (udesa)000018060USA01 | ||
| 035 | |a (OCoLC)796918 |z (OCoLC)636478460 | ||
| 035 | |a (OCoLC)990000180600204151 | ||
| 040 | |a DLC |c DLC |d U@S | ||
| 049 | |a U@SA | ||
| 050 | 0 | |a QA372 |b .H57 1974 | |
| 100 | 1 | |a Hirsch, Morris W., |d 1933- | |
| 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 c1974. | ||
| 300 | |a xi, 358 p. : |b il. ; |c 25 cm. | ||
| 440 | 0 | |a Pure and applied mathematics (Academic Press) ; |v 60. | |
| 504 | |a Incluye referencias bibliográficas (p. [341]-342) e índice. | ||
| 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 -- Appendix: Elementary Facts -- Polynomials -- On Canonical Forms -- The Inverse Function Theorem -- Answers to Selected Problems. | |
| 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. | ||
| 650 | 0 | |a Differential equations | |
| 650 | 0 | |a Algebras, Linear. | |
| 700 | 1 | |a Smale, Stephen, |d 1930- | |