Journey Through Genius: The Great Theorems of Mathematics Test | Final 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 did most of 19th century mathematics focus on, as highlighted by Dunham?
(a) The immediately practical.
(b) The theoretical.
(c) Geometry.
(d) Algebra.

2. Which name does NOT belong?
(a) Blaise Pascal.
(b) John Napier.
(c) Renee Descartes.
(d) Francois Viete

3. Who encourages Newton during his studies at Cambridge?
(a) Henry Briggs.
(b) John Napier.
(c) Henry Stokes.
(d) Isaac Barrow.

4. Which of the following was NOT a field in which Isaac Newton made enormous advances?
(a) Physics.
(b) Biology.
(c) Optics.
(d) Mathematics.

5. Where does the center of mathematical thinking shift to after Italy?
(a) To Germany and Russia.
(b) To Turkey and Russia.
(c) To Britian and Scotland.
(d) To France and Britian.

Short Answer Questions

1. What did Cantor develop?

2. Who else, besides Newton, independently discovered a calculus method?

3. What was most noticeable about Euler at a young age?

4. In what area was Gauss especially interested?

5. What hindered Euler's work as he grew older?

Short Essay Questions

1. What was Euler able to prove about 2²ⁿ + 1? Why was this a great accomplishment?

2. Explain why Eulers sum of π²/6 was in some ways surprising.

3. Describe the controversy that Newton was caught in with his publication of his calculus methods.

4. Give an example of a series who's sum is still unknown.

5. What was Gauss's major unpublished achievement in geometry?

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

7. Who was Georg Cantor, and what was significant about his work in mathematics?

8. Describe Cantor's difficult personal life.

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

10. What great theorems and work of Newton did Dunham highlight?

(see the answer keys)

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