You are here

Chaos and Fractals: An Elementary Introduction

David P. Feldman
Publisher: 
Oxford University Press
Publication Date: 
2014
Number of Pages: 
408
Format: 
Paperback
Price: 
54.99
ISBN: 
9780199566440
Category: 
Textbook
There is no review yet. Please check back later.

I. Introducing Discrete Dynamical Systems
0. Opening Remarks
1. Functions
2. Iterating Functions
3. Qualitative Dynamics
4. Time Series Plots
5. Graphical Iteration
6. Iterating Linear Functions
7. Population Models
8. Newton, Laplace, and Determinism
II. Chaos
9. Chaos and the Logistic Equation
10. The Buttery Effect
11. The Bifurcation Diagram
12. Universality
13. Statistical Stability of Chaos
14. Determinism, Randomness, and Nonlinearity
III. Fractals
15. Introducing Fractals
16. Dimensions
17. Random Fractals
18. The Box-Counting Dimension
19. When do Averages exist?
20. Power Laws and Long Tails
20. Introducing Julia Sets
21. Infinities, Big and Small
IV. Julia Sets and The Mandelbrot Set
22. Introducing Julia Sets
23. Complex Numbers
24. Julia Sets for f(z) = z2 + c
25. The Mandelbrot Set
V. Higher-Dimensional Systems
26. Two-Dimensional Discrete Dynamical Systems
27. Cellular Automata
28. Introduction to Differential Equations
29. One-Dimensional Differential Equations
30. Two-Dimensional Differential Equations
31. Chaotic Differential Equations and Strange Attractors
VI. Conclusion
32. Conclusion
VII. Appendices
A. Review of Selected Topics from Algebra
B. Histograms and Distributions
C. Suggestions for Further Reading

Dummy View - NOT TO BE DELETED