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

William Dunham (mathematician)
This set of Lesson Plans consists of approximately 135 pages of tests, essay questions, lessons, and other teaching materials.
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Mid-Book Test - Hard

Name: _____________________________ Period: ___________________________

This quiz consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.

Short Answer Questions

1. What was the bases of Hippocrates's proof ?



2. Which of the following best describes Cardano's character?



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



4. What instruments did the Greeks use to square a shape?



5. Which is one of the common notions presented in Elements?



Short Essay Questions

1. Describe what mathematical and artistic movements are focused on in the second half of the 19th century.



2. Describe the connection between Fermat and Euler's work.



3. Where did the center of mathematical thinking shift to in the !7th Century, and who are the major scholars of this time period?



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



5. How did Heron find the area of a triangle, and what did Dunham state about Heron's work?



6. Describe the great theorem explained by Dunham in this chapter.



7. Describe who was Archimedes and how Dunham described his character.



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



9. Who was Luca Pacioli, and what controversy was sparked over his writings?



10. Describe what Gauss discovered according to Dunham.



Essay Topics

In Dunham's book, there were many descriptions of mathematicians and their personal lives. Write an essay to describe the common elements or characteristics that seem to be shared among these historically famous mathematicians. Also, explain what personal characteristics made them all excellent mathematicians.

Summarize the discoveries on series made by the Bernoulli brothers and later, Euler. How did the Bernoullis advance mathematical understanding of an infinite series, and how did Euler even further advance this knowledge? Give examples. What principles about series and the sum of series are still being worked out in modern mathematics?

Dunham presented a number of controversies over publication and intellectual property rights in the history of mathematics. Explain what seems to be the common issues historically in the publication of one's discoveries. Describe what conditions often lead to controversy over intellectual property rights.

(see the answer keys)

This section contains 871 words
(approx. 3 pages at 300 words per page)
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