Differential equations, dynamical systems, and an introduction to chaos./ Morris W. Hirsch, Stephen Smale, Robert L. Devaney.
By: Hirsch, Morris W [autor]
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Contributor(s): Smale, Stephen [autor] | Devaney, Robert L [autor].
Waltham, MA : Academic Press, ©2013Edition: Third edition.Description: vii, 418 pages. : illustrations. ; 24 cm.Content type: texto Media type: no mediado Carrier type: volumenISBN: 9780123820105.Subject(s): Differential equations | Algebra linear | Chaotic behavior in systems | Ecuaciones diferenciales | Algebra lineal | Comportamiento caótico en sistemasDDC classification: 515.35 / | Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode | Item holds |
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Biblioteca Central Book Cart | General | 515.35 / H615dif (Browse shelf) | Ej. 1 | Available | 900000022046 |
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Includes bibliographical references (p. 411-413) and index.
First-Order equations -- Planar linear systems -- Phase portraits for planar systems -- Classifications of planar systems -- Higher-dimensional linear algebra -- Higher-dimensional linear systems -- Nonlinear systems -- Equilibria in nonlinear systems -- Global nonlinear techniques -- Closed orbits and limit sets -- Applications in biology -- Applications in circuit theory -- Applications in mechanics -- The Lorenz systems -- Discrete dynamal systems -- Homoclinic phenomena -- Existence and uniqueness revisited -- Bibliography --
“Hirsch, Devaney, and Smale’s classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations. Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems.” Taken from the dealer's website
“Los profesores han utilizado las clásicas ecuaciones diferenciales, sistemas dinámicos y una introducción al caos de Hirsch, Devaney y Smale como texto principal para cursos de pregrado y posgrado que cubren ecuaciones diferenciales. Proporciona un enfoque teórico de los sistemas dinámicos y el caos escrito para una población estudiantil diversa en los campos de las matemáticas, la ciencia y la ingeniería. Expertos destacados proporcionan todo lo que los estudiantes necesitan saber sobre sistemas dinámicos a medida que los estudiantes buscan desarrollar suficientes habilidades matemáticas para analizar los tipos de ecuaciones diferenciales que surgen en su área de estudio. Los autores proporcionan ejercicios y ejemplos rigurosos de forma clara y sencilla introduciendo lentamente sistemas lineales de ecuaciones diferenciales. Se requiere cálculo, ya que se incluyen temas avanzados especializados que no se encuentran generalmente en los cursos de ecuaciones diferenciales elementales, como la exploración del mundo de los sistemas dinámicos discretos y la descripción de sistemas caóticos.” Tomado de la página Web del distribuidor
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