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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

Multiple Choice Questions

1. What was Hippocrates famous for?
(a) His proof on right triangles.
(b) His proof defining gravity.
(c) His theorem on the quadrature of the lune.
(d) His ability to construct circles without a compass.

2. What was most noticeable about Euler at a young age?
(a) He was not very quick with arithmatic.
(b) He was very athletic.
(c) He had a remarkable memory.
(d) He had an aptitude for literature.

3. What was true about Hippocrates's proof?
(a) The proof was exceedingly difficult and not understood at the time.
(b) The proof was easy if their was advanced technology available.
(c) It was fairly easy and simple.
(d) It was useful for circles.

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

5. What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?
(a) The sum converges to infinity.
(b) The sum converges to a finite term.
(c) The sum diverges to infinity.
(d) The sum grows ever smaller.

Short Answer Questions

1. Where was Neil's Abel from?

2. What did Euclid state about pi in Elements?

3. Which of the following is an example of a perfect number?

4. What did Euclid do in his 48th proposition?

5. Which of the following was NOT one of Gauss' discoveries?

(see the answer key)

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