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" Mastering differential equations : "
Robert L. Devaney.
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BL
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| Record Number
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759299
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b579270
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| Main Entry
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Robert L. Devaney.
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| Title & Author
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Mastering differential equations : : the visual method\ Robert L. Devaney.
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| Publication Statement
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Chantilly, VA : Great Courses, ©2011.
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| Series Statement
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Great courses.
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| Page. NO
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vi, 530 pages : illustrations ; 19 cm.
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| ISBN
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1598037447
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: 9781598037449
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| Notes
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Course no. 1452.Transcript covers the 24 lectures contained in the corresponding DVDs.
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| Contents
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Lecture 1. What is a differential equation? --; Lecture 2. A limited-growth population model --; Lecture 3. Classification of equilibrium points --; Lecture 4. Bifurcations, drastic changes in solutions --; Lecture 5. Methods for finding explicit solutions --; Lecture 6. How computers solve differential equations --; Lecture 7. Systems of equations, a predator-prey system --; Lecture 8. Second-order equations, the mass-spring system --; Lecture 9. Damped and undamped harmonic oscillators --; Lecture 10. Beating modes and resonance of oscillators --; Lecture 11. Linear systems of differential equations --; Lecture 12. An excursion into linear algebra --; Lecture 13. Visualizing complex and zero eigenvalues --; Lecture 14. Summarizing all possible linear solutions --; Lecture 15. Nonlinear systems viewed globally, nullclines --; Lectures 16. Nonlinear systems near equilibria, linearization --; Lecture 17. Bifurcations in a competing species model --; Lecture 18. Limit cycles and oscillations in chemistry --; Lecture 19. All sorts of nonlinear pendulums --; Lecture 20. Periodic forcing and how chaos occurs --; Lecture 21. Understanding chaos and iterated functions --; Lecture 22. Periods and ordering of iterated functions --; Lecture 23. Chaotic itineraries in a space of all sequences --; Lecture 24. Conquering chaos, Mandelbrot and Julia sets.
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| Abstract
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In this course, Boston University Professor Robert L. Devaney presents an introduction to differential equations.
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| Subject
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Differential equations.
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| LC Classification
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QA371.R634 2011
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| Added Entry
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Robert L Devaney
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Teaching Company.
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