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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. The author states in Chapter 6, “Infinity’s Twin” that Carl Gauss realized that real and imaginary numbers could be what?
2. Where was Carl Gauss from?
3. According to the author in Chapter 8, “Zero Hour at Ground Zero,” the universe may collapse under its own gravity or what?
4. The author suggests in Chapter 8, “Zero Hour at Ground Zero” that zero might spawn universes through a froth of what?
5. What refers to a now-obsolete theory and model developed as an alternative to the Big Bang theory of the universe's origin?
Short Essay Questions
1. What problems were encountered in calculus with zero? How did zero apply to the physical world, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
2. How is string theory described by the author in Chapter 8, “Zero Hour at Ground Zero”?
3. How did Max Planck address the problem of the ultraviolet catastrophe?
4. What are differential equations? Who first developed differential equations?
5. How were Georg Cantor’s mathematical principles applied to his theology? Who disagreed with his vision and why?
6. What problem does zero present when calculating tangent lines? What is a tangent?
7. Who discovered “absolute zero”? How is absolute zero defined in Chapter 7, “Absolute Zeros”?
8. What does the author say thermodynamics has taught us in Chapter 7, “Absolute Zeros”?
9. How many dimensions are required for string theory to work? How are these dimensions described in Chapter 8, “Zero Hour at Ground Zero”?
10. How are electrons described in Chapter 8, “Zero Hour at Ground Zero”?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Describe and discuss the origins and development of mathematics in Indian society. From whom did India adopt the concept of zero? How did the beliefs of Hinduism deal with the concept of zero? Why and how was this different than Christianity’s viewpoint of the void?
Essay Topic 2
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?
Essay Topic 3
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?
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This section contains 874 words (approx. 3 pages at 300 words per page) |
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