Need intro texts to Chaos theory

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To study chaos theory effectively, a solid foundation in ordinary differential equations (ODE) is essential, typically following calculus. After ODE, pursuing Real Analysis is recommended, as chaos theory involves analyzing sets of real numbers. Key texts for these subjects include "Mathematical Methods of Physics" by Mary Boas for ODE and "Principles of Mathematical Analysis" by Walter Rudin for Real Analysis. For chaos theory itself, "Nonlinear Dynamics" by Steven Strogatz and "Chaos in Dynamical Systems" by Edward Ott are suggested as primary resources. Additionally, "Chaos" by James Gleick offers historical context for those interested in the development of the field.
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can someone give me some hints on studying chaos theory? like some introductory websites, good introductory texts, prerequisites for studying?

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how readable is "The Fractal Geometry of Nature" by mandlebrot?
 
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A good prerequisite for studying chaos is a class in ordinary differential equations (ODE), which is normally taken after learning about integration in Calculus. With this background you can start learning about the Lorenz Equations.

The next class to take after ODE is Real Analysis, since chaos is all about analyzing sets of real numbers. This background will get you ready to learn about the various kinds of fractal dimensions.

I recommend this course of study instead of a popularization book.

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The book I suggest for learning ODE is 'Mathematical Methods of Physics' by Mary Boas.

The book I suggest for learning Real Analysis is 'Principles of Mathematical Analysis' by Walter Rudin.

The books I suggest for learning Chaos Theory are 'Nonlinear Dynamics' by Steven Strogatz followed by 'Chaos in Dynamical Systems' by Edward Ott.
 
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I second the suggestion on Strogatz.

'Chaos' by Gleick is a good book on the history of chaos theory if that interests you.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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