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A First Course in Discrete Dynamical Systems

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Cover of 'A First Course in Discrete Dynamical Systems'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 A Quick Look at Functions
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    Chapter 3 The Topology of the Real Numbers
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    Chapter 4 Periodic Points and Stable Sets
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    Chapter 5 Sarkovskii’s Theorem
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    Chapter 6 Differentiability and Its Implications
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    Chapter 7 Parametrized Families of Functions and Bifurcations
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    Chapter 8 The Logistic Function Part I: Cantor Sets and Chaos
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    Chapter 9 The Logistic Function Part II: Topological Conjugacy
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    Chapter 10 The Logistic Function Part III: A Period-Doubling Cascade
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    Chapter 11 The Logistic Function Part IV: Symbolic Dynamics
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    Chapter 12 Newton’s Method
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    Chapter 13 Numerical Solutions of Differential Equations
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    Chapter 14 The Dynamics of Complex Functions
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    Chapter 15 The Quadratic Family and the Mandelbrot Set
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