Unkown Blogger Pursues a Deranged Quest for Normalcy

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Posted by ubpdqn on December 23, 2012

Unknown Blogger Mathematica

 

This is an excellent book.  The author systematically introduces the major concepts using simple models (particularly pendulum) and iterations of algebraic equations, visualizations based on these and amplified by interactive media on an accompanying CD.  Systems of increasing complexity: 1D, 2D, 3D were pursued. Each step is built on from previous ones and there is useful repetition of previous ideas. This exploration is put into a wonderful historical context . I found these historical vignettes one of the most enjoyable parts of the book and they blended well with the exposition. The evolution of the subject (the motivations, starts and stops) was partitioned naturally within the progressive exposition in the text.

 

I read this shortly after reading An Introduction To Chaotic Dynamical Systems by Robert L. Devaney.  The central concepts of  the characteristics of chaos: sensitivity to initial conditions; topological transitivity and dense set of periodic orbits…

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