Course Videos and Other Materials (zip files):
These zipped files contain all course materials for the given unit except for the homework solutions.
- Unit 1 Files (108MB)
- Unit 2 Files (451MB)
- Unit 3 Files (846MB)
- Unit 4 Files (362MB)
- Unit 5 Files (243MB)
- Unit 6 Files (433MB)
- Unit 7 Files (496MB)
- Unit 8 Files (359MB)
- Unit 9 Files (295MB)
- Unit 10 Files (510MB)
Additional Reading
non-technical: these are books in the "popular science" style.
- Gleick, James. Chaos: Making a new science. Random House, 1997. Very readable, focuses on the scientists and mathematicians behind many of the key results in chaos. amazon.com
- Stewart, Ian. Does God play dice?: The new mathematics of chaos. Penguin UK, 1997. More mathematical detail and richness than Gleick's book. Also quite readable. amazon.com
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Mitchell, Melanie. Complexity: a guided tour. Oxford University Press, 2009. A general book about complex systems. amazon.com
history and philosophy of science: these books and articles are mostly non-technical, but are scholarly pieces on the history and philosophy of science.
- In the Wake of Chaos: Unpredictable Order in Dynamical Systems. Stephen H. Kellert. University of Chicago Press. 1994. amazon.com
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Smith, Peter. Explaining chaos. Cambridge University Press, 1998. More technical than Kellert. amazon.com
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Aubin, David, and Amy Dahan Dalmedico. "Writing the History of Dynamical Systems and Chaos: Longue Durée and Revolution, Disciplines and Cultures." Historia Mathematica 29.3 (2002): 273-339. A long paper thoroughly examining some of the strands of thoughts that converged to form the field of chaos and dynamical systems. html
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Bishop, Robert, "Chaos", The Stanford Encyclopedia of Philosophy (Fall 2009 Edition), Edward N. Zalta (ed.) html
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Hoefer, Carl, "Causal Determinism", The Stanford Encyclopedia of Philosophy (Spring 2010 Edition), Edward N. Zalta (ed.) html
textbooks with more mathematical details: i've listed these textbooks in approximate order from introductory to advanced.
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Feldman, David P. Chaos and Fractals: An Elementary Introduction. Oxford University Press, 2012. At roughly the same level as this class. amazon.com
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Flake, Gary William. The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptations. The MIT Press, 1998. In a few places uses calculus. A very clear and engaging introduction to chaos, fractals, and complex systems more generally. amazon.com
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Sayama, Hiroki, Introduction to the Modeling and Analysis of Complex Systems. OpenSUNY Textbooks. Looks like a great survey of a range of topics in complex systems, including dynamical systems. A pdf is available here.
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Kaplan, Daniel, and Leon Glass. Understanding Nonlinear Dynamics. Springer-Verlag, 1995. A basic introduction to dynamical systems. Uses calculus but does not assume prior coursework in differential equations. amazon.com
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Strogatz, Steven. Nonlinear dynamics and chaos: with applications to physics, biology, chemistry and engineering. Westview Press, 2001. Highly recommended. amazon.com
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Peitgen, Heinz-Otto, Hartmut Jürgens, and Dietmar Saupe. Chaos and fractals: new frontiers of science. Springer, 2004. amazon.com
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Smale, Stephen, Morris W. Hirsch, and Robert L. Devaney. Differential equations, dynamical systems, and an introduction to chaos. (3rd edition.) Academic Press. 2012. amazon.com
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Devaney, Robert L. An Introduction to Chaotic Dynamical Systems. (2nd edition.) Westview Press, 2003. amazon.com
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Ott, Edward. Chaos in Dynamical Systems. (2nd edition.) Cambridge University Press, 2002. amazon.com
lectures and documentaries
- Raymond Flood. Butterflies, Chaos and Fractals. Museum of London. 17 September 2013. link
- Nic Stacey and Jim Al-Khalili. The Secret Life of Chaos. BBC 4. January 2010. dailymotion.com vimeo.com (with arabic(?) subtitles)
- Jos Leys, Etienne Ghys, and Aurelien Alvarez, Chaos: A Mathematical Adventure. A set of videos availalbe in 11 different languagues. http://www.chaos-math.org/en.
- Steven Strogatz, Nonlinear Dynamics and Chaos. A series of 25 lectures from the course MAE5790 at Cornell University in Spring 2014. The lectures closely follow Strogatz's textbook, listed above. youtube.com