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Differential Equations, Dynamical Systems, and an Introduction to Chaos

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Differential Equations, Dynamical Systems, and an Introduction to Chaos

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Morris Hirsch, Stephen Smale, Robert Devaney

420 pages, parution le 18/12/2003 (2eme édition)

Résumé

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.

Audience
Advanced students and practitioners in higher mathematics.

Contents

  • First-Order Equations
  • Planar Linear Systems
  • Phase Portraits for Planar Systems
  • Classification of Planar Systems
  • Higher Dimensional Linear Systems
  • Nonlinear Systems
  • Equilibria in Nonlinear Systems
  • Global Nonlinear Systems
  • Closed Orbits and Limit Sets
  • Applications in Biology
  • Applications in Circuit Theory
  • Applications in Mechanics
  • The Lorenz System
  • Discrete Dynamical Systems
  • Homoclinic Phenomena
  • Existence and Uniqueness Revisited

L'auteur - Morris Hirsch

University of Wisconsin, Madison, USA

L'auteur - Stephen Smale

University of California, Berkeley, USA

L'auteur - Robert Devaney

Boston University, Massachussetts, USA

Caractéristiques techniques

  PAPIER
Éditeur(s) Elsevier, Academic Press
Auteur(s) Morris Hirsch, Stephen Smale, Robert Devaney
Parution 18/12/2003
Édition  2eme édition
Nb. de pages 420
Format 15,5 x 23,5
Couverture Relié
Poids 805g
Intérieur Noir et Blanc
EAN13 9780123497031
ISBN13 978-0-12-349703-1

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