Differential Equations, Dynamical Systems & Introduction to Chaos: 2nd edition - Couverture rigide

Hirsch, Morris; Smale, Stephen; Devaney, Robert-L

Couverture rigide

ISBN 10 : 0123497035 ISBN 13 : 9780123497031

Editeur : Academic Press Inc, 2003

Synopsis

Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition, provides a rigorous yet accessible introduction to differential equations and dynamical systems. The original text by three of the world's leading mathematicians has become the standard textbook for graduate courses in this area. Thirty years in the making, this Second Edition brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra. The book explores the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It presents the simplification of many theorem hypotheses and includes bifurcation theory throughout. It contains many new figures and illustrations; a simplified treatment of linear algebra; detailed discussions of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor; and increased coverage of discrete dynamical systems. This book will be particularly useful to advanced students and practitioners in higher mathematics.

A propos du livre

À propos des auteurs

Morris W. Hirsch works at the University of Wisconsin, Madison, USA.

Stephen Smale works in the Department of Mathematics at University of California, Berkeley, USA.

Robert L. Devaney works in the Department of Mathematics at Boston University, MA, USA.

Détails de l'édition

• Éditeur: Academic Press Inc
• Date d'édition: 2003
• Langue: anglais
• ISBN 10: 0123497035
• ISBN 13: 9780123497031
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 432
• Coordonnées du fabricant: non disponible