Mathematics

Differential equations, dynamical systems, and an introduction to chaos

US$5.00 US$48.00

Title (user) : Differential equations, dynamical systems, and an introduction to chaosISBN : 9780080491141,9780123497031,0123497035DDC : 515/.35LCC : QA372 .H67 2004GoogleBook ID : aBYpnQAACAAJOpenLibrary ID : OL3689850MEdition : 2nd edSeries : Pure and applied mathematics...
Description

Title (user) : Differential equations, dynamical systems, and an introduction to chaos

ISBN : 9780080491141,9780123497031,0123497035

DDC : 515/.35

LCC : QA372 .H67 2004

GoogleBook ID : aBYpnQAACAAJ

OpenLibrary ID : OL3689850M

Edition : 2nd ed

Series : Pure and applied mathematics a series of monographs and textbooks 60

Authors (user) : Robert Devaney, Morris W. Hirsch

Authors (google) : Morris W. Hirsch,Stephen Smale,Robert L. Devaney

Publisher : Academic Press

Language : English

Publication Date : 2004

File Format : pdf

Categories : Mathematics


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Description (user) :
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


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Description (google) :
This text is about the dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. It is an update of one of Academic Press's most successful mathematics texts ever published, which has become the standard textbook for graduate courses in this area. The authors are tops in the field of advanced mathematics. Steve Smale is a Field's Medalist, which equates to being a Nobel prize winner in mathematics. Bob Devaney has authored several leading books in this subject area. Linear algebra prerequisites toned down from first edition Inclusion of analysis of examples of chaotic systems, including Lorenz, Rosssler, and Shilnikov systems Bifurcation theory included throughout.

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