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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 mathematics, what refers to a map that exhibits some sort of chaotic behavior?
2. Who is attributed with the following quote from Chapter 6, "Universality": "The iterating of these lines brings gold; the framing of this circle on the ground brings whirlwinds, tempests, thunder and lightning"?
3. When did Albert Libchaber join the faculty at The Rockefeller University?
4. Who began to call the global construction of fractals "the chaos game" according to the author in Chapter 8, "Images of Chaos"?
5. Albert Libchaber was a professor at what institution from 1983 to 1991?
Short Essay Questions
1. Describe the Mandelbrot set. To what it is closely related?
2. What interests in art and culture are described of Mitchell Feigenbaum in Chapter 6, "Universality"?
3. How does the author differentiate between theorists and experimentalists in Chapter 5, "Strange Attractors"?
4. How does the author describe the evolution of chaos in Chapter 8, "Images of Chaos"?
5. How were fractal basin boundaries used in Chapter 8, "Images of Chaos"? What scientists studied the transitions?
6. How are Feigenbaum constants defined?
7. Who was Johann Wolfgang von Goethe? For what great work is he most well known?
8. How did Barnsley's approach differ from that of Richter and Peitgen in Chapter 8, "Images of Chaos"?
9. To whom does the author compare the background of Albert Libchaber in Chapter 7, "The Experimenter"? When was Albert Libchaber born?
10. How is turbulence defined in Chapter 5, "Strange Attractors"?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Define and discuss turbulence and the problems its discovery created for scientists and physicists. How is turbulence dealt with today by science?
Essay Topic 2
Describe Benoit Mandelbrot's work for International Business Machines Corporation. When was IBM founded and how was Mandelbrot involved in its evolution?
Essay Topic 3
Describe Mitchell Feigenbaum and Michael Barnsley. How did the two mathematicians meet and what discoveries arose from their conversations?
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This section contains 749 words (approx. 3 pages at 300 words per page) |
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