Journey Through Genius: The Great Theorems of Mathematics Test | Mid-Book Test - Medium

William Dunham (mathematician)
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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. Who acted as the gate keepers of knowledge?
(a) Roman emporers.
(b) Arabian scholars.
(c) Greek philosophers.
(d) Greek tradesman.

2. According to Dunham, who was most able to collect knowledge from around the globe?
(a) Greek tradesman.
(b) Greek philosophers.
(c) Roman emporers.
(d) Arabian scholars.

3. Which of the following was one of Euclid's great theorems?
(a) There exists an finite number of prime numbers.
(b) Prime numbers are more comples than discrete numbers.
(c) There exists an infinite number of prime numbers.
(d) There exists only infinite and whole numbers.

4. In what time period did mathematicians find a solution to cubic equations?
(a) Thirteenth century.
(b) Twentieth century.
(c) Seventeeth century.
(d) Fifteen century.

5. Which mathematician was first to take the challenge to solve cubic equations?
(a) Tartaglia.
(b) Scipione del Ferro.
(c) Niccolo Fontana.
(d) Luca Pacioli.

Short Answer Questions

1. When was the work of these early thinkers rediscovered again in history?

2. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

3. What is a "depressed cubic"?

4. What did Dunham discuss for many pages in this chapter?

5. What was Euclid's definition of a prime number?

Short Essay Questions

1. Explain who was Hippocrates, his contribution to mathematics, and how do we know about him?

2. Describe what the Egyptians knew about geometry and triangles before Hippocrates.

3. Describe some of Gauss's work.

4. Describe what is quadrature and why it was useful in the time of Hippocrates.

5. Describe who were Jakob and Johann Bernoulli.

6. How did Archimedes find a number value for pi?

7. Describe what the Bernoullis discovered about series, and give an example.

8. What was Euclid's definition of composite and perfect numbers?

9. Describe Cantor's difficult personal life.

10. Who was Heron, and what is known about him today?

(see the answer keys)

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