Differential Equations, Dynamical Systems, and an Introduction to Chaos (Pure and Applied Mathematics)

Morris W. Hirsch; Stephen Smale; Robert L. Devaney

ISBN 10: 0123497035 / ISBN 13: 9780123497031

Editore: Academic Press, 2003

Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less. Codice articolo G0123497035I3N00

Riassunto:

Thirty years in the making, this revised text by three of the world's leading mathematicians covers the dynamical aspects of ordinary differential equations. it explores the relations between dynamical systems and certain fields outside pure mathematics, and has become the standard textbook for graduate courses in this area. The Second Edition now brings students to the brink of contemporary research, starting from a background that includes only calculus and elementary linear algebra.

The authors are tops in the field of advanced mathematics, including Steve Smale who is a recipient of the Field's Medal for his work in dynamical systems.

* Developed by award-winning researchers and authors
* Provides a rigorous yet accessible introduction to differential equations and dynamical systems
* Includes bifurcation theory throughout
* Contains numerous explorations for students to embark upon

NEW IN THIS EDITION
* New contemporary material and updated applications
* Revisions throughout the text, including simplification of many theorem hypotheses
* Many new figures and illustrations
* Simplified treatment of linear algebra
* Detailed discussion of the chaotic behavior in the Lorenz attractor, the Shil'nikov systems, and the double scroll attractor
* Increased coverage of discrete dynamical systems

Informazioni sugli autori: 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.

Dati bibliografici

Titolo: Differential Equations, Dynamical Systems, ...
Casa editrice: Academic Press
Data di pubblicazione: 2003
Legatura: Hardcover
Condizione: Good
Condizione sovraccoperta: No Jacket
Edizione: seconda edizione