Differential Equations : Theory and Applications with Maple.: CD-ROM included - Couverture rigide

Betounes, David

 
9780387951409: Differential Equations : Theory and Applications with Maple.: CD-ROM included

Synopsis

This book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics to illustrate the theory, but also has a complete collection of proofs for the major theorems ranging from the usual existence and uniqueness results to the Hartman-Grobman theorem and the Jordan canonical form theorem. The book can bc used almost exclusively in the traditional way for graduate math courses, or it can bc used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason, an extensive computer component using Maple(r) is provided on the accompanying CD-ROM and is cross-referenced in the text. The material on the CD is an in-depth supplement and complement to the material in the text and contains (1) an introduction to discrete dynamical systems and iterated maps ; (2) special-purpose Maple(r) code for animating phase portraits, stair diagrams, N-body motions, rigid-body worksheets pertaining to all aspects of using Maple(r) to study the topics in the text.

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À propos de l'auteur

David Betounes is professor of Mathematics at the University of Southern Mississippi. His previous book published with Springer is partial Differential Equations for Computational Science with Maple and Vector Analysis (1998, ISBN 0-387-98300-7).

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9781475749724: Differential Equations: Theory and Applications

Edition présentée

ISBN 10 :  1475749724 ISBN 13 :  9781475749724
Editeur : Springer, 2014
Couverture souple