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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. Gleick compares the Mandlebrot Set to what set in Chapter 8, "Images of Chaos"?
2. When was Albert Libchaber born?
3. What is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space?
4. Who is attributed with the following quote in Chapter 5, "Strange Attractors": "Big whorls have little whorls which feed on their velocity, and little whorls have lesser whorls and so on to viscosity"?
5. What will drain rapidly from large-scale motions to small-scale motions?
Short Essay Questions
1. What problems did turbulence cause for physicists and scientists, according to the author in Chapter 5, "Strange Attractors"?
2. How is the Taylor-Couette flow defined?
3. Where did Mitchell Feigenbaum meet Michael Barnsley in Chapter 8, "Images of Chaos"? What did their discussions lead to?
4. Describe the Julia set. How is it related to the Fatou set?
5. How are Feigenbaum constants defined?
6. To whom does the author compare the background of Albert Libchaber in Chapter 7, "The Experimenter"? When was Albert Libchaber born?
7. Whose results did Albert Libchaber inadvertently recreate in Chapter 7, "The Experimenter"?
8. What was Harry Swinney known for in Chapter 5, "Strange Attractors"? Where did his interests lie?
9. What is the Taylor vortex flow and when does it emerge?
10. How did Barnsley's approach differ from that of Richter and Peitgen in Chapter 8, "Images of Chaos"?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Describe Mitchell Feigenbaum and Michael Barnsley. How did the two mathematicians meet and what discoveries arose from their conversations?
Essay Topic 2
Describe and discuss the Cantor set and the Noah and Joseph Effects. What is Cantor Dust and how was it discovered?
Essay Topic 3
Discuss the lives and works of Gustav Mahler and Johann Wolfgang von Goethe and analyze their influence on Mitchell Feigenbaum. What work of Goethe's is quoted in the book?
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This section contains 799 words (approx. 3 pages at 300 words per page) |
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