What Math and Physics Knowledge is Needed to Understand Chaos Theory?

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To understand chaos theory, a solid foundation in mathematics and physics is essential. Key mathematical concepts include differential equations, as chaos is a characteristic of dynamical systems typically described by these equations. The discussion highlights the importance of prior coursework, including calculus, linear algebra, differential equations, and real analysis, which the individual has already completed. Recommended textbooks for further study include works by Arnold, Smale, and Strogatz, which provide a comprehensive introduction to dynamical systems and chaos theory. This background will prepare the individual for a deeper exploration of the subject.
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I've taken an interest in chaos theory of late, but only from a casual standpoint. What are the math requirements for truly understanding chaos theory? What about physics? Any other knowledge required?

I will earn my BS in computer science and minor in mathematics in spring 2013. I've taken Calc I-III, LA, DiffyEQ, Real Analysis, Abstract Algebra I-II, Numerical Analysis, and Complex Variables. I've also taken calc-based physics I-II.

Before I go off buying a textbook, I want to ensure I have the background needed to grasp the material. Any help is greatly appreciated.
 
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Chaos is a property of dynamical systems, which are usually given by differential equations. That would be a good start. Try a text like Arnold's or Smale's (an early edition). As for dynamical systems themselves, try Strogatz.
 

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