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

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9780123497031: Differential Equations, Dynamical Systems, and an Introduction to Chaos (Pure and Applied Mathematics)

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.

  • 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

"synopsis" may belong to another edition of this title.

Book Description

Rigorous yet accessible introduction to differential equations and dynamical systems

About the Author

By Dr. Morris W. Hirsch, Dr. Stephen Smale and Dr. Robert Devaney

"About this title" may belong to another edition of this title.

  • PublisherAcademic Press
  • Publication date2003
  • ISBN 10 0123497035
  • ISBN 13 9780123497031
  • BindingHardcover
  • LanguageEnglish
  • Edition number2
  • Number of pages432
  • Rating
    • 3.60 out of 5 stars
      55 ratings by Goodreads

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9787506282819: Differential Equations, Dynamical Systems, and an Introduction to Chaos, Second Edition

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ISBN 10:  750628281X ISBN 13:  9787506282819
Publisher: elsevier, 2007
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Published by Academic Press, 2003
ISBN 10: 0123497035 ISBN 13: 9780123497031
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Paperback. Condition: Very Good. 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. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Seller Inventory # GOR008033459

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