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This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.

Short Answer Questions

1. In what year did Mitchell Feigenbaum complete his doctorate with a thesis on dispersion relations?

2. What refers to systems whose behavior is intrinsically non-deterministic?

3. Albert Libchaber was a professor at what institution from 1983 to 1991?

4. What is the most abundant element in the universe?

5. What is the atomic number of helium?

Short Essay Questions

1. Where did Mitchell Feigenbaum meet Michael Barnsley in Chapter 8, "Images of Chaos"? What did their discussions lead to?

2. What interests in art and culture are described of Mitchell Feigenbaum in Chapter 6, "Universality"?

3. What is the Taylor vortex flow and when does it emerge?

4. How did Barnsley's approach differ from that of Richter and Peitgen in Chapter 8, "Images of Chaos"?

5. What was Harry Swinney known for in Chapter 5, "Strange Attractors"? Where did his interests lie?

6. Describe the career of Heinz-Otto Peitgen. Where is Peitgen from?

7. To whom does the author compare the background of Albert Libchaber in Chapter 7, "The Experimenter"? When was Albert Libchaber born?

8. Who is Michael Barnsley? How is his early career described in Chapter 8, "Images of Chaos"?

9. How does the author describe the evolution of chaos in Chapter 8, "Images of Chaos"?

10. How are Feigenbaum constants defined?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Discuss the computer development of the 1960s and the Royal McBee computer used by Edward Lorenz. What did Lorenz develop to aid in computer analysis?

Essay Topic 2

Describe Mitchell Feigenbaum and Michael Barnsley. How did the two mathematicians meet and what discoveries arose from their conversations?

Essay Topic 3

Describe Benoit Mandelbrot's work for International Business Machines Corporation. When was IBM founded and how was Mandelbrot involved in its evolution?

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