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The CAMBRIDGE 112674 textbook, Chaotic Dynamics: Fractals, Tilings, and Substitutions, serves as a resource for understanding dynamical systems. It is tailored for undergraduate students transitioning from calculus to advanced mathematics. This textbook provides numerous exercises and applications covering real analysis and metric space theory. Key topics include one-dimensional systems, topological and symbolic dynamics, two-dimensional dynamics, Sharkovsky's theorem, and substitution theory. Students can find Mathematica code available online for enhanced learning.
This textbook is essential for students pursuing advanced studies in mathematics, offering both theoretical insights and practical exercises.
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