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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 Chapter Twenty, Nash was challenged to solve the problem of what?

2. Princeton was building its faculty in what areas when John Forbes Nash, Jr. arrived in Chapter Three?

3. Where was Albert Tucker when Nash mailed the first draft of his thesis to him in Chapter Ten?

4. Where was John von Neumann born?

5. Nash's theorem in Chapter Fifteen basically said that it is possible for every manifold to find a part that corresponds to what?

Short Essay Questions

1. What led to Nash's theorem on manifolds in Chapter Twenty? What was the theory known as?

2. Where did Nash move in Chapter Sixteen? What job did he take and with whom did he work?

3. How was John Forbes Nash, Jr. described as a child in Chapter One? When did he develop an interest in mathematics?

4. To what faculty members was Nash most closely associated at Princeton, as described by the author in Chapter Five?

5. What was John Forbes Nash, Jr.'s reputation in his second year of college, as described in Chapter Two? Where did he decide to go to graduate school?

6. What is related regarding game theory in Chapter Eight? What important book changed the way that game theory was perceived?

7. What became of the meeting between John Forbes Nash, Jr. and John von Neumann in Chapter Ten?

8. How old was Nash when he arrived at Princeton? What year was it? In what areas was Princeton building its faculty at this time?

9. What led to Nash's work with manifolds in Chapter Fifteen? What did his theorem state?

10. How is Nash's relationship to Lloyd Shapley described in Chapter Eleven?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Discuss Nash's work in Seattle, New York, and the Institute for Advanced Study in 1956. With what university is the Institute for Advanced Study associated? What work did Nash do there? With whom did Nash conduct research at the Institute for Advanced Study?

Essay Topic 2

Describe and discuss Alicia Larde and the beginning of her relationship with Nash. How old was Alicia when she began dating Nash? How old was he? What attracted Alicia to Nash? How did he feel about her? What was Alicia's reaction to meeting Eleanor?

Essay Topic 3

Describe Princeton University and Solomon Lefshetz in 1948. How does the author describe the transitions within the mathematics department in 1948? Who were the faculty? How did Solomon Lefshetz go about recruiting Nash? Why?

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