Differential Equations, Dynamical Systems, and an Introduction to Chaos

Author:   Morris W. Hirsch (University of Wisconsin, Madison, USA) ,  Stephen Smale (Department of Mathematics, University of California, Berkeley, USA) ,  Robert L. Devaney (Department of Mathematics, Boston University, MA, USA)
Publisher:   Elsevier Science Publishing Co Inc
Edition:   3rd edition
ISBN:  

9780123820105


Pages:   432
Publication Date:   26 April 2012
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Differential Equations, Dynamical Systems, and an Introduction to Chaos


Overview

Hirsch, Devaney, and Smale’s classic Differential Equations, Dynamical Systems, and an Introduction to Chaos has been used by professors as the primary text for undergraduate and graduate level courses covering differential equations. It provides a theoretical approach to dynamical systems and chaos written for a diverse student population among the fields of mathematics, science, and engineering. Prominent experts provide everything students need to know about dynamical systems as students seek to develop sufficient mathematical skills to analyze the types of differential equations that arise in their area of study. The authors provide rigorous exercises and examples clearly and easily by slowly introducing linear systems of differential equations. Calculus is required as specialized advanced topics not usually found in elementary differential equations courses are included, such as exploring the world of discrete dynamical systems and describing chaotic systems.

Full Product Details

Author:   Morris W. Hirsch (University of Wisconsin, Madison, USA) ,  Stephen Smale (Department of Mathematics, University of California, Berkeley, USA) ,  Robert L. Devaney (Department of Mathematics, Boston University, MA, USA)
Publisher:   Elsevier Science Publishing Co Inc
Imprint:   Academic Press Inc
Edition:   3rd edition
Dimensions:   Width: 15.20cm , Height: 3.00cm , Length: 22.90cm
Weight:   0.790kg
ISBN:  

9780123820105


ISBN 10:   0123820103
Pages:   432
Publication Date:   26 April 2012
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. First-Order Equations 2. Planar Linear Systems 3. Phase Portraits 4. Classification of Planar Systems 5. Higher Dimension Linear Algebra 6. Higher Dimension Linear Systems 7. Nonlinear Systems 8. Equilibria in Nonlinear Systems 9. Global Nonlinear Techniques 10. Closed Orbits and Limit Sets 11. Applications in Biology 12. Applications in Circuit Theory 13. Applications in Mechanics 14. The Lorenz System 15. Discrete Dynamical Systems 16. Homoclinic Phenomena 17. Existence and Uniqueness Revisited

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Author Information

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.

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Latest Reading Guide

NOV RG 20252

 

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