Autor: Morris W. Hirsch
ISBN-13: 9780123820105
Veröffentl: 01.05.2012
Einband: Buch
Seiten: 418
Gewicht: 857 g
Format: 236x158x30 mm
Sprache: Englisch

Differential Equations, Dynamical Systems, and an Introduction to Chaos

Academic Press

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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
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 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

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Autor: Morris W. Hirsch
ISBN-13:: 9780123820105
ISBN: 0123820103
Erscheinungsjahr: 01.05.2012
Verlag: Elsevier LTD, Oxford
Gewicht: 857g
Seiten: 418
Sprache: Englisch
Auflage 13003, 3rd edition
Sonstiges: Buch, 236x158x30 mm