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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 in graphical perspective refers to a point in the picture plane π that is determined by a line in space?
2. When did Nicholas of Cusa live?
3. Filippo Brunelleschi was born in approximately what year?
4. The reason for the reform of the Gregorian calendar was to solidify what Christian holiday to a particular time of year?
5. The author states in Chapter 3, “Nothing Ventured” that for the Indians, numerals without geometric significance gave birth to what field of mathematics?
Short Essay Questions
1. What advancements in mathematics were made by René Descartes?
2. What paradox of Zeno of Elea’s is presented by the author in Chapter 2, “Nothing Comes of Nothing”?
3. How did mathematics and the concept of zero evolve in India through the 5th Century AD?
4. What mathematical developments was Pythagoras credited with in ancient Greece?
5. How did Aristotle approach the concept of zero, according to the author in Chapter 2, “Nothing Comes of Nothing”?
6. 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?
7. What inventions is Blaise Pascal credited with, according to the author in Chapter 4, “The Infinite God of Nothing”?
8. How did Filippo Brunelleschi introduce the concept of zero to the Italian Renaissance?
9. How does the author assert zero’s existence has been responsible for mathematical progress in Chapter 1, “Nothing Doing”?
10. How does the author describe Islam’s history in the seventh century in Chapter 3, “Nothing Ventured”?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
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?
Essay Topic 2
Describe and discuss the origins and developments of mathematics in Mayan culture. What was the base of the Mayan numeral system? How did this system compare with that of the Egyptians and the Babylonians? How did it deal with zero?
Essay Topic 3
Discuss the biography and work of Filippo Brunelleschi and the introduction of linear perspective. What did paintings look like before the invention of the vanishing point? How did Brunelleschi discover the concept of the vanishing point? How did this concept involve zero?
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This section contains 825 words (approx. 3 pages at 300 words per page) |
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