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At a more advanced level: my favorite graduate course was taught out of http://www.amazon.com/Introduction-Applied-Nonlinear-Dynamical-Mathematics/dp/0387001778
by lotharbot 11y ago
At a more advanced level: my favorite graduate course was taught out of http://www.amazon.com/Introduction-Applied-Nonlinear-Dynamical-Mathematics/dp/0387001778/ref=la_B004LQHLZ6_1_1?s=books&ie=UTF8&qid=1433370754&sr=1-1 http://www.amazon.com/Introduction-Applied-Nonlinear-Dynamic... .
- JadeNB 11y agoAnother one that I meant to mention in my previous post is Strogatz (http://www.stevenstrogatz.com/books/nonlinear-dynamics-and-chaos-with-applications-to-physics-biology-chemistry-and-engineering http://www.stevenstrogatz.com/books/nonlinear-dynamics-and-c...). Do you know how Wiggins compares?
- lotharbot 11y agoI have the first edition of Strogatz' book. It's fairly accessible to students who have taken calculus and been exposed to ODEs, and can be worked through in about a semester. Great for a 200 or 300 level course. Wiggins is a much more advanced, and much more thorough, book. It's appropriate for 400 level at a minimum, and probably more accessible to graduate students. I wouldn't even attempt it without having taken ODEs and Linear Algebra, and probably some real analysis or PDEs or another high level course just for exposure to mathematical rigor (and I might be leaving out other prereqs; I can't presently locate my copy of the book.) It's tremendously well presented for a book at that level, and could be enough material for a three-quarter or two-semester sequence. It's advanced enough that someone working on a related Masters or Doctoral thesis would likely refer to it regularly.