Ordinary Differential Equations: From Calculus to Dynamical Systems - Couverture rigide

Noonburg, Virginia W.

Couverture rigide

ISBN 10 : 1939512042 ISBN 13 : 9781939512048

Editeur : The Mathematical Association of America, 2015

Synopsis

Techniques for studying ordinary differential equations (ODEs) have become part of the required toolkit for students in the applied sciences. This book presents a modern treatment of the material found in a first undergraduate course in ODEs. Standard analytical methods for first- and second-order equations are covered first, followed by numerical and graphical methods, and bifurcation theory. Higher dimensional theory follows next via a study of linear systems of first-order equations, including background material in matrix algebra. A phase plane analysis of two-dimensional nonlinear systems is a highlight, while an introduction to dynamical systems and an extension of bifurcation theory to cover systems of equations will be of particular interest to biologists. With an emphasis on real-world problems, this book is an ideal basis for an undergraduate course in engineering and applied sciences such as biology, or as a refresher for beginning graduate students in these areas.

A propos du livre

À propos de l?auteur

Virginia W. Noonburg gained a BA in Mathematics from Cornell University, before spending four years as a computer programmer at the knolls Atomic Power Lab near Schenectady, New York. After returning to Cornell and earning a PhD in Mathematics, she taught first at Vanderbilt University in Nashville, Tennessee and then at the University of Hartford in West Hartford, Connecticut (from which she has recently retired as professor emerita). During the late 1980s she twice taught as a visiting professor at Cornell, and also earned a Cornell MS Eng degree in Computer Science.

Détails de l'édition

• Éditeur: The Mathematical Association of America
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 1939512042
• ISBN 13: 9781939512048
• Reliure: Relié
• Nombre de pages: 326
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible