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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. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Triangles.
(b) Spheres and cones.
(c) Manifolds.
(d) Regular polyhedrons.

2. Which phrase best describes Newton as a student at Cambridge?
(a) Quiet recluse of no intelligence.
(b) Unnoticed, but remarkable.
(c) Tolerant, mildly interested in science.
(d) A highly praised genius.

3. Which of the following is true about pi, as described by Dunham.
(a) The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.
(b) The measurement of pi was redetermined after Archimedes's death.
(c) The measurement of pi should not have been so difficult for Archimedes to demonstrate.
(d) The measurement of pi is a challenge that continues into modern mathematics.

4. Who eventually solved the sum of the successive squared denominator series?
(a) John Napier.
(b) Jakob Bernoulli.
(c) Johann Bernoulli.
(d) Leonhard Euler.

5. Which of the following was one of Gauss' early discoveries?
(a) A method to simplify Newton's calulus.
(b) A proof that the Pythagorean Theorem was correct.
(c) A demonstration of the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . .
(d) A way to construct a regular 17-sided polygon.

Short Answer Questions

1. What is a "depressed cubic"?

2. How many sides did the pentadecagon have, as presented by Euclid?

3. What provided most of the content in the book Elements?

4. What did Euler prove about 2²ⁿ + 1?

5. Who was Heron?

(see the answer key)

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