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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. Bosonic string theory was developed in what decade?
2. The author asserts in Chapter 6, “Infinity's Twin” that with the introduction of imaginary numbers, the fundamental theorem of what mathematical branch was discovered?
3. According to the author in Chapter 8, “Zero Hour at Ground Zero,” some physicists think the merging of a particle and a black hole creates a tachyon or a particle with imaginary mass that could do what?
4. According to the author in Chapter 8, “Zero Hour at Ground Zero,” the universe may collapse under its own gravity or what?
5. Where was Carl Gauss from?
Short Essay Questions
1. Who discovered “absolute zero”? How is absolute zero defined in Chapter 7, “Absolute Zeros”?
2. Who created calculus? How did calculus differ from the other mathematical fields, according to the author in Chapter 5, “Infinite Zeros and Infidel Mathematicians”?
3. How did Max Planck address the problem of the ultraviolet catastrophe?
4. How does the elimination of zero help general relativity theory, according to the author in Chapter 8, “Zero Hour at Ground Zero”?
5. What discovery did Friedrich Riemann make in the field of projective geometry?
6. What is expressed through the Rayleigh-Jeans law? How does this law relate to zero?
7. How did the discovery of imaginary numbers affect the study of algebra?
8. What problem do black holes present in physics, according to the author in Chapter 8, “Zero Hour at Ground Zero”?
9. What problem does zero present when calculating tangent lines? What is a tangent?
10. What was discovered by Albert Einstein’s solution to the photoelectric effect?
Essay Topics
Write an essay for ONE of the following topics:
Essay Topic 1
Discuss the life and work of Zeno of Elea. What philosophical and mathematical discoveries did Zeno make? What is the definition of paradox? What paradox of Zeno’s is discussed in the book?
Essay Topic 2
Discuss Guillaume de l'Hôpital, Bishop Berkeley, and l'Hôpital's rule. How are derivatives used to evaluate limits involving indeterminate forms under l'Hôpital's rule? How did these advancements deal with the problem of 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 847 words (approx. 3 pages at 300 words per page) |
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