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. What is true about prime numbers?
(a) That for every group of prime numbers, there exists at least one more prime.
(b) Prime numbers can not exist in a finite series.
(c) Prime numbers are not divisible by other numbers.
(d) Prime numbers can never be an odd number.

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

3. Who asked Tartaglia for his solution to cubic equations?
(a) Pacioli.
(b) Fontana.
(c) Cardano.
(d) Fior,

4. Which of the following becomes an important definition in mathematics that was first presented in Elements?
(a) Intersection.
(b) Parallel line.
(c) Circle.
(d) 180 degree angle.

5. What was known about pi, during Archimedes' time?
(a) That it could not be assigned a relationship between measurements in a circle.
(b) Nothing, the concept of pi was unknown.
(c) That it was never the same number value for a given circle.
(d) That is was the relationship between the diameter and circumference of a circle.

Short Answer Questions

1. What range of values did Archimedes determine for pi?

2. What was Eratosthanes most famous for?

3. After working on pi, what did Archimedes continue with in his study of mathematics?

4. After Hippocrates, what shape did the Greeks attempt to square without success?

5. What was Hippocrates famous for?

Short Essay Questions

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

2. Describe the events that follow del Ferro's death between Fior and Tartaglia.

3. What did Euclid state for his theory on prime numbers?

4. Why did Euclid's postulate on parallel lines trouble mathematicians for centuries?

5. What was already known about circles before Archimedes?

6. Summarize, in a sentence, what was Hippocates's great theorem, and what was it based on according to Dunham?

7. Describe why Dunham infers that Euclid's Elements was an evolutionary book not so much for what it said, but in how it was presented.

8. What did Dunham describe in the epilogue of the chapter?

9. Describe Euclid's postulates and notions in how they were important in constructing his proofs.

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

(see the answer keys)

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