Ordinary Differential Equations with Applications

2. Auflage 2006
ISBN: 978-1-4419-2151-2
Verlag: Springer

Buch, Englisch, Band 34, 636 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 978 g

Reihe: Texts in Applied Mathematics

This book is developed primarily from the author’s 20 years of teaching the course at his own university. It addresses both theory and applications, interweaving application with theory throughout the text. The author links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The revised edition includes considerable new material; the impressive array of exercises has been more than doubled in size and enhanced in scope.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Chicone, Carmen

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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.