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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. What is a concept in mathematics where a fixed rule describes the time dependence of a point in a geometrical space?
2. In physics and systems theory, what states that, for all linear systems, the net response at a given place and time caused by two or more stimuli is the sum of the responses which would have been caused by each stimulus individually?
3. What mathematical term refers to the Euclidean plane and three-dimensional space of Euclidean geometry, as well as the generalizations of these notions to higher dimensions?
4. In what year was Mitchell Feigenbaum awarded the Wolf Prize in Physics?
5. In mathematics, what refers to a map that exhibits some sort of chaotic behavior?
Short Essay Questions
1. How does the author describe the evolution of chaos in Chapter 8, "Images of Chaos"?
2. How were fractal basin boundaries used in Chapter 8, "Images of Chaos"? What scientists studied the transitions?
3. What interests in art and culture are described of Mitchell Feigenbaum in Chapter 6, "Universality"?
4. What was Harry Swinney known for in Chapter 5, "Strange Attractors"? Where did his interests lie?
5. How did Barnsley's approach differ from that of Richter and Peitgen in Chapter 8, "Images of Chaos"?
6. How are the Navier-Stokes equations defined? For whom are they named?
7. To whom does the author compare the background of Albert Libchaber in Chapter 7, "The Experimenter"? When was Albert Libchaber born?
8. What did Mitchell Feigenbaum determine needed to happen in Chapter 6, "Universality"? Where was he working?
9. How is turbulence defined in Chapter 5, "Strange Attractors"?
10. How had Albert Libchaber gained fame in his career, according to the author in Chapter 7, "The Experimenter"?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Describe the early life of Benoit Mandelbrot and Mandelbrot's work as a mathematician. How did WWII affect the education Mandelbrot received?
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
Discuss the life and work of Thomas S. Kuhn and the scientific revolution he originated. What book did Kuhn publish and what was its impact on science?
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This section contains 808 words (approx. 3 pages at 300 words per page) |
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