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Mastering Differential Equations: The Visual Method With Robert Devaney 24xDVDRip | M4V/AVC, ~1313 kb/s | 640x480 | Duration: 12:31:21 | English: AAC, 128 kb/s (2 ch) | + PDF Guide | 7.74 GB Genre: Mathematics For centuries, differential equations have been the key to unlocking nature's deepest secrets. Over 300 years ago, Isaac Newton invented differential equations to understand the problem of motion, and he developed calculus in order to solve differential equations. Since then, differential equations have been the essential tool for analyzing the process of change, whether in physics, engineering, biology, or any other field where it's important to predict how something behaves over time. Lectures: 01. What Is a Differential Equation.m4v 02. A Limited-Growth Population Model.m4v 03. Classification of Equilibrium Points.m4v 04. Bifurcations-Drastic Changes in Solutions.m4v 05. Methods for Finding Explicit Solutions.m4v 06. How Computers Solve Differential Equations.m4v 07. Systems of Equations-A Predator-Prey System.m4v 08. Second-Order Equations-The Mass-Spring System.m4v 09. Damped and Undamped Harmonic Oscillators.m4v 10. Beating Modes and Resonance of Oscillators.m4v 11. Linear Systems of Differential Equations.m4v 12. An Excursion into Linear Algebra.m4v 13. Visualizing Complex and Zero Eigenvalues.m4v 14. Summarizing All Possible Linear Solutions.m4v 15. Nonlinear Systems Viewed Globally-Nullclines.m4v 16. Nonlinear Systems near Equilibria-Linearization.m4v 17. Bifurcations in a Competing Species Model.m4v 18. Limit Cycles and Oscillations in Chemistry.m4v 19. All Sorts of Nonlinear Pendulums.m4v 20. Periodic Forcing and How Chaos Occurs.m4v 21. Understanding Chaos with Iterated Functions.m4v 22. Periods and Ordering of Iterated Functions.m4v 23. Chaotic Itineraries in a Space of All Sequences.m4v 24. 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