Name: Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall (en Inglés)
SKU: 55635940
Price: 128.89 USD
Availability: InStock
Author: Jane Cronin
ISBN: 9780367387969

portada Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall (en Inglés)

Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall (en Inglés)

Formato

Libro Físico

Editorial

Crc Press

Autor

Jane Cronin

Idioma

Inglés

N° páginas

408

Encuadernación

Tapa Blanda

ISBN13

9780367387969

N° edición

Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall (en Inglés)

Jane Cronin (Autor) · Crc Press · Tapa Blanda

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Reseña del libro "Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall (en Inglés)"

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear equations. Requiring only a background in advanced calculus and linear algebra, the text is appropriate for advanced undergraduate and graduate students in mathematics, engineering, physics, chemistry, or biology.This third edition of a highly acclaimed textbook provides a detailed account of the Bendixson theory of solutions of two-dimensional nonlinear autonomous equations, which is a classical subject that has become more prominent in recent biological applications. By using the Poincaré method, it gives a unified treatment of the periodic solutions of perturbed equations. This includes the existence and stability of periodic solutions of perturbed nonautonomous and autonomous equations (bifurcation theory). The text shows how topological degree can be applied to extend the results. It also explains that using the averaging method to seek such periodic solutions is a special case of the use of the Poincaré method.