Differential Equations, Dynamical Systems, and an Introduction to Chaos

Inbunden, Engelska, 2012

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Beskrivning

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.

Classic text by three of the world's most prominent mathematicians
Continues the tradition of expository excellence
Contains updated material and expanded applications for use in applied studies

Produktinformation

Utgivningsdatum:2012-04-26
Mått:152 x 229 x 27 mm
Vikt:790 g
Format:Inbunden
Språk:Engelska
Antal sidor:432
Upplaga:3
Förlag:Elsevier Science
ISBN:9780123820105

Utforska kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Mer om författaren

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.

Innehållsförteckning

1. First-Order Equations2. Planar Linear Systems3. Phase Portraits4. Classification of Planar Systems5. Higher Dimension Linear Algebra6. Higher Dimension Linear Systems7. Nonlinear Systems8. Equilibria in Nonlinear Systems9. Global Nonlinear Techniques10. Closed Orbits and Limit Sets11. Applications in Biology12. Applications in Circuit Theory13. Applications in Mechanics14. The Lorenz System15. Discrete Dynamical Systems16. Homoclinic Phenomena17. Existence and Uniqueness Revisited