Encounters with Chaos and Fractals, 2nd Edition

Encounters with Chaos and Fractals, 2nd Edition

by Denny Gulick
Released April 2012
Publisher(s): Chapman and Hall/CRC
ISBN: 9781466558755

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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

  1. Front Cover
  2. Dedication
  3. Contents
  4. Preface
  5. Introduction
  6. 1. Periodic Points (1/16)
  7. 1. Periodic Points (2/16)
  8. 1. Periodic Points (3/16)
  9. 1. Periodic Points (4/16)
  10. 1. Periodic Points (5/16)
  11. 1. Periodic Points (6/16)
  12. 1. Periodic Points (7/16)
  13. 1. Periodic Points (8/16)
  14. 1. Periodic Points (9/16)
  15. 1. Periodic Points (10/16)
  16. 1. Periodic Points (11/16)
  17. 1. Periodic Points (12/16)
  18. 1. Periodic Points (13/16)
  19. 1. Periodic Points (14/16)
  20. 1. Periodic Points (15/16)
  21. 1. Periodic Points (16/16)
  22. 2. One-Dimensional Chaos (1/9)
  23. 2. One-Dimensional Chaos (2/9)
  24. 2. One-Dimensional Chaos (3/9)
  25. 2. One-Dimensional Chaos (4/9)
  26. 2. One-Dimensional Chaos (5/9)
  27. 2. One-Dimensional Chaos (6/9)
  28. 2. One-Dimensional Chaos (7/9)
  29. 2. One-Dimensional Chaos (8/9)
  30. 2. One-Dimensional Chaos (9/9)
  31. 3. Two-Dimensional Chaos (1/12)
  32. 3. Two-Dimensional Chaos (2/12)
  33. 3. Two-Dimensional Chaos (3/12)
  34. 3. Two-Dimensional Chaos (4/12)
  35. 3. Two-Dimensional Chaos (5/12)
  36. 3. Two-Dimensional Chaos (6/12)
  37. 3. Two-Dimensional Chaos (7/12)
  38. 3. Two-Dimensional Chaos (8/12)
  39. 3. Two-Dimensional Chaos (9/12)
  40. 3. Two-Dimensional Chaos (10/12)
  41. 3. Two-Dimensional Chaos (11/12)
  42. 3. Two-Dimensional Chaos (12/12)
  43. 4. Systems of Differential Equations (1/9)
  44. 4. Systems of Differential Equations (2/9)
  45. 4. Systems of Differential Equations (3/9)
  46. 4. Systems of Differential Equations (4/9)
  47. 4. Systems of Differential Equations (5/9)
  48. 4. Systems of Differential Equations (6/9)
  49. 4. Systems of Differential Equations (7/9)
  50. 4. Systems of Differential Equations (8/9)
  51. 4. Systems of Differential Equations (9/9)
  52. 5. Introduction to Fractals (1/10)
  53. 5. Introduction to Fractals (2/10)
  54. 5. Introduction to Fractals (3/10)
  55. 5. Introduction to Fractals (4/10)
  56. 5. Introduction to Fractals (5/10)
  57. 5. Introduction to Fractals (6/10)
  58. 5. Introduction to Fractals (7/10)
  59. 5. Introduction to Fractals (8/10)
  60. 5. Introduction to Fractals (9/10)
  61. 5. Introduction to Fractals (10/10)
  62. 6. Creating Fractals Sets (1/9)
  63. 6. Creating Fractals Sets (2/9)
  64. 6. Creating Fractals Sets (3/9)
  65. 6. Creating Fractals Sets (4/9)
  66. 6. Creating Fractals Sets (5/9)
  67. 6. Creating Fractals Sets (6/9)
  68. 6. Creating Fractals Sets (7/9)
  69. 6. Creating Fractals Sets (8/9)
  70. 6. Creating Fractals Sets (9/9)
  71. 7. Complex Fractals: Julia Sets and the Mandelbrot Set (1/7)
  72. 7. Complex Fractals: Julia Sets and the Mandelbrot Set (2/7)
  73. 7. Complex Fractals: Julia Sets and the Mandelbrot Set (3/7)
  74. 7. Complex Fractals: Julia Sets and the Mandelbrot Set (4/7)
  75. 7. Complex Fractals: Julia Sets and the Mandelbrot Set (5/7)
  76. 7. Complex Fractals: Julia Sets and the Mandelbrot Set (6/7)
  77. 7. Complex Fractals: Julia Sets and the Mandelbrot Set (7/7)
  78. Appendix: Computer Programs (1/2)
  79. Appendix: Computer Programs (2/2)
  80. Answers to Selected Exercises (1/2)
  81. Answers to Selected Exercises (2/2)
  82. References

Product information

  • Title: Encounters with Chaos and Fractals, 2nd Edition
  • Author(s): Denny Gulick
  • Release date: April 2012
  • Publisher(s): Chapman and Hall/CRC
  • ISBN: 9781466558755