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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. Approximately when did Muhammad ibn Ahmad al-Khwarizmi live?
2. What in graphical perspective refers to a point in the picture plane π that is determined by a line in space?
3. What name refers to sutra texts belonging to the Śrauta ritual and containing geometry related to fire-altar construction?
4. The system that equipped the USS Yorktown in 1996 and 1997 was predicted to save $2.8 million per year by reducing the ship’s complement by what percentage?
5. Who founded the House of Wisdom that was established in Abbasid-era Baghdad, Iraq?
Short Essay Questions
1. How does the author describe Islam’s history in the seventh century in Chapter 3, “Nothing Ventured”?
2. What paradox of Zeno of Elea’s is presented by the author in Chapter 2, “Nothing Comes of Nothing”?
3. How was zero dealt with in the Pythagorean view, according to the author in Chapter 2, “Nothing Comes of Nothing”?
4. What mathematical developments was Pythagoras credited with in ancient Greece?
5. How does the author assert zero’s existence has been responsible for mathematical progress in Chapter 1, “Nothing Doing”?
6. What mathematical properties of zero presented problems in the ancient world, according to the author in Chapter 1, “Nothing Doing”?
7. How did Aristotle approach the concept of zero, according to the author in Chapter 2, “Nothing Comes of Nothing”?
8. What caused the USS Yorktown to have a computer meltdown in 1997, according to the author in Chapter 0, “Null and Void”? How is the ship described?
9. How did Filippo Brunelleschi introduce the concept of zero to the Italian Renaissance?
10. How does the author describe the relationship between early Christianity and zero in Chapter 2, “Nothing Comes of Nothing”?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Describe and discuss the concept of the “limit” proposed by Jean Le Ron D'Alembert and its impact on calculus and mathematics. What impact did the discoveries of Jean Le Ron D'Alembert have on the concepts of zero and infinity?
Essay Topic 2
Describe the USS Yorktown and its computer crash in 1997 as examined in Chapter 0, “Null and Void.” What program was the ship a test-bed for in the U.S. Navy? What caused the crash? How was the problem approached?
Essay Topic 3
Describe and discuss the origins and history of mathematics within Islamic culture. When was the House of Wisdom built? Who first coined the term “algebra”? When was the term coined?
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This section contains 857 words (approx. 3 pages at 300 words per page) |
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