Ordinary differential equations with applications / Carmen Chicone.
By: Chicone, Carmen Charles [autor]
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Series: Texts in applied mathematics ; 34.New York ; Berlin : Springer, 2006 ©2006Edition: Second edition.Description: xix, 623 páginas : ilustraciones ; 24 cm.Content type: texto Media type: no mediado Carrier type: volumenISBN: 9780387307695; 0387307699.Subject(s): Differential equations | Ecuaciones diferencialesDDC classification: 515.35 / Online resources: Table of contents only | Publisher description | 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 / C533o (Browse shelf) | Ej. 1 | Available | 900000010902 | ||
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Biblioteca Central | General | 515.35 / C533o (Browse shelf) | Ej. 2 | Checked out | 02/05/2024 | 900000016611 |
Textbook for graduates.
Incluye referencias bibliográficas (p. [603]-618) e índice.
Introduction to ordinary differential equations -- Linear systems and stability of nonlinear systems -- Applications -- Hyperbolic theory -- Continuation of periodic solutions -- Homoclinic orbits, Melnikov´s method, and chaos -- Averaging -- Local bifurcation -- References --
Este libro desarrollado a lo largo de 20 años del autor enseñando el curso en su propia universidad. Sirve como texto para un curso de posgrado en la teoría de ecuaciones diferenciales ordinarias, escrito desde un punto de vista de sistemas dinámicos. Contiene teoría y aplicaciones, con las aplicaciones entretejidas con la teoría en todo el texto. El autor también vincula ecuaciones diferenciales ordinarias con temas matemáticos avanzados, como geometría diferencial, teoría de grupos de Lie, análisis en espacios de dimensión infinita e incluso álgebra abstracta.
This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra.
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