Artículos relacionados a A Short Course in Ordinary Differential Equations (Universit...

A Short Course in Ordinary Differential Equations (Universitext) - Tapa dura

Libro 174 de 261: Universitext

Kong, Qingkai

 
9783319112381: A Short Course in Ordinary Differential Equations (Universitext)
Tapa dura
ISBN 10: 3319112384 ISBN 13: 9783319112381
Editorial: Springer, 2014

Sinopsis

This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré―Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm―Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Qingkai Kong is a Professor and Director of Undergraduate Studies in the Department of Mathematical Sciences at Northern Illinois University. He holds a M.Sc and Ph.D from the University of Alberta. Dr. Kong is a recipient of the Huo Ying-Dong Teaching Award and has refereed for over 50 journals.

De la contraportada

This text is a rigorous treatment of the basic qualitative theory of ordinary differential equations, at the beginning graduate level. Designed as a flexible one-semester course but offering enough material for two semesters, A Short Course covers core topics such as initial value problems, linear differential equations, Lyapunov stability, dynamical systems and the Poincaré--Bendixson theorem, and bifurcation theory, and second-order topics including oscillation theory, boundary value problems, and Sturm--Liouville problems. The presentation is clear and easy-to-understand, with figures and copious examples illustrating the meaning of and motivation behind definitions, hypotheses, and general theorems. A thoughtfully conceived selection of exercises together with answers and hints reinforce the reader's understanding of the material. Prerequisites are limited to advanced calculus and the elementary theory of differential equations and linear algebra, making the text suitable for seniorundergraduates as well.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
3319112384
ISBN 13 
9783319112381
Encuadernación
Tapa dura
Número de páginas
280
Contacto del fabricante
GPSR Kontakt
ProductSafety@springernature.com

Tiergartenstr. 17
Heidelberg
69121
Alemania