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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 true about Heron's theorem as described by Dunham?
(a) It was to determine the area of a circle by measuring a right triangle inside the circle.
(b) It was to determine the volume of a sphere without measuring the circumference.
(c) It was to find the area of a triangle when only the length of the sides are known.
(d) It was to solve equations were only two varibles are known.

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

3. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Gerolamo Cardano.
(b) Niccolo Fontana.
(c) Scipione del Ferro.
(d) Luca Pacioli.

4. In the Bernoulli's time, what was the current definition of a series?
(a) The infinite sum of a convergent series.
(b) The sum of a finite series of terms.
(c) The sum of a never-ending series of terms.
(d) The finite sum of a divergent series.

5. Which of the following best describes Archimedes as discussed by Dunham?
(a) Loud and arrogant.
(b) Mild-mannered researcher.
(c) Creative but stubborn.
(d) Absent-minded genius.

Short Answer Questions

1. To how many decimal places did Newton determine the number for pi?

2. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

3. What did Dunham claim about Archimedes's determination of a number value for pi?

4. Where was Neil's Abel from?

5. Where did Hippocrates come from?

(see the answer key)

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