Book description
Revised and updated, this second edition provides an accessible introduction to both chaotic dynamics and fractal geometry for readers with a calculus background. This edition contains new and expanded material on fractals that illustrates how to obtain computer renderings of them and covers Julia and Mandelbrot sets. It also includes a substantial number of new exercises at the end of each section and MATLAB programs in the appendix, with selected solutions at the back of the book.
Table of contents
- Front Cover
- Dedication
- Contents
- Preface
- Introduction
- 1. Periodic Points (1/16)
- 1. Periodic Points (2/16)
- 1. Periodic Points (3/16)
- 1. Periodic Points (4/16)
- 1. Periodic Points (5/16)
- 1. Periodic Points (6/16)
- 1. Periodic Points (7/16)
- 1. Periodic Points (8/16)
- 1. Periodic Points (9/16)
- 1. Periodic Points (10/16)
- 1. Periodic Points (11/16)
- 1. Periodic Points (12/16)
- 1. Periodic Points (13/16)
- 1. Periodic Points (14/16)
- 1. Periodic Points (15/16)
- 1. Periodic Points (16/16)
- 2. One-Dimensional Chaos (1/9)
- 2. One-Dimensional Chaos (2/9)
- 2. One-Dimensional Chaos (3/9)
- 2. One-Dimensional Chaos (4/9)
- 2. One-Dimensional Chaos (5/9)
- 2. One-Dimensional Chaos (6/9)
- 2. One-Dimensional Chaos (7/9)
- 2. One-Dimensional Chaos (8/9)
- 2. One-Dimensional Chaos (9/9)
- 3. Two-Dimensional Chaos (1/12)
- 3. Two-Dimensional Chaos (2/12)
- 3. Two-Dimensional Chaos (3/12)
- 3. Two-Dimensional Chaos (4/12)
- 3. Two-Dimensional Chaos (5/12)
- 3. Two-Dimensional Chaos (6/12)
- 3. Two-Dimensional Chaos (7/12)
- 3. Two-Dimensional Chaos (8/12)
- 3. Two-Dimensional Chaos (9/12)
- 3. Two-Dimensional Chaos (10/12)
- 3. Two-Dimensional Chaos (11/12)
- 3. Two-Dimensional Chaos (12/12)
- 4. Systems of Differential Equations (1/9)
- 4. Systems of Differential Equations (2/9)
- 4. Systems of Differential Equations (3/9)
- 4. Systems of Differential Equations (4/9)
- 4. Systems of Differential Equations (5/9)
- 4. Systems of Differential Equations (6/9)
- 4. Systems of Differential Equations (7/9)
- 4. Systems of Differential Equations (8/9)
- 4. Systems of Differential Equations (9/9)
- 5. Introduction to Fractals (1/10)
- 5. Introduction to Fractals (2/10)
- 5. Introduction to Fractals (3/10)
- 5. Introduction to Fractals (4/10)
- 5. Introduction to Fractals (5/10)
- 5. Introduction to Fractals (6/10)
- 5. Introduction to Fractals (7/10)
- 5. Introduction to Fractals (8/10)
- 5. Introduction to Fractals (9/10)
- 5. Introduction to Fractals (10/10)
- 6. Creating Fractals Sets (1/9)
- 6. Creating Fractals Sets (2/9)
- 6. Creating Fractals Sets (3/9)
- 6. Creating Fractals Sets (4/9)
- 6. Creating Fractals Sets (5/9)
- 6. Creating Fractals Sets (6/9)
- 6. Creating Fractals Sets (7/9)
- 6. Creating Fractals Sets (8/9)
- 6. Creating Fractals Sets (9/9)
- 7. Complex Fractals: Julia Sets and the Mandelbrot Set (1/7)
- 7. Complex Fractals: Julia Sets and the Mandelbrot Set (2/7)
- 7. Complex Fractals: Julia Sets and the Mandelbrot Set (3/7)
- 7. Complex Fractals: Julia Sets and the Mandelbrot Set (4/7)
- 7. Complex Fractals: Julia Sets and the Mandelbrot Set (5/7)
- 7. Complex Fractals: Julia Sets and the Mandelbrot Set (6/7)
- 7. Complex Fractals: Julia Sets and the Mandelbrot Set (7/7)
- Appendix: Computer Programs (1/2)
- Appendix: Computer Programs (2/2)
- Answers to Selected Exercises (1/2)
- Answers to Selected Exercises (2/2)
- References
Product information
- Title: Encounters with Chaos and Fractals, 2nd Edition
- Author(s):
- Release date: April 2012
- Publisher(s): Chapman and Hall/CRC
- ISBN: 9781466558755
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