Introduction to Recognition and Deciphering of Patterns - Info and Reading Options

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Intro -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Author -- CHAPTER 1 ■ Introduction -- 1.1 Patterns in Geometrical Systems -- 1.2 Piecewise Functions and Patterns -- 1.3 Describing Patterns Analytically -- 1.3.1 Summation-Type and Product-Type Sequences -- 1.3.2 Piecewise and Periodic Patterns -- 1.4 Chapter 1 Exercises -- CHAPTER 2 ■ Patterns of Geometrical Systems -- 2.1 Repetition of Patterns at Same Scale -- 2.2 Piecewise Functions at Same Scale -- 2.3 Geometrical Configurations at Same Scale -- 2.4 Repetition of Patterns at Different Scales -- 2.4.1 Geometrical Patterns at Different Scales -- 2.5 Alternating and Piecewise Patterns -- 2.5.1 Alternating Piecewise Functions -- 2.5.2 Alternating Geometrical Patterns -- 2.6 Chapter 2 Exercises -- CHAPTER 3 ■ Sequences and Summations -- 3.1 Linear and Quadratic Sequences -- 3.1.1 Summation-Type Sequences -- 3.2 Geometric and Factorial-Type Sequences -- 3.2.1 Factorial-Type Sequences -- 3.3 Alternating and Piecewise Sequences -- 3.4 Summations and Proof by Induction -- 3.5 Chapter 3 Exercises -- CHAPTER 4 ■ Pascal's Triangle Identities -- 4.1 Horizontally Oriented Identities -- 4.2 Diagonally Oriented Identities -- 4.3 Chapter 4 Exercises -- CHAPTER 5 ■ First-Order Recursive Relations -- 5.1 First-Order Linear Recursive Sequences -- 5.2 Nonautonomous Recursive Sequences -- 5.3 Chapter 5 Exercises -- CHAPTER 6 ■ Periodic Traits -- 6.1 Autonomous Recursive Sequences -- 6.2 Nonautonomous Recursive Sequences -- 6.3 Chapter 6 Exercises -- CHAPTER 7 ■ Answers to Chapter Exercises -- 7.1 Answers to Chapter 1 Exercises -- 7.2 Answers to Chapter 2 Exercises -- 7.3 Answers to Chapter 3 Exercises -- 7.4 Answers to Chapter 4 Exercises -- 7.5 Answers to Chapter 5 Exercises -- 7.6 Answers to Chapter 6 Exercises -- Appendices -- Acknowledgments -- Bibliography -- Index

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