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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. How did Lindeman prove his conclusion?
(a) Lindeman proved that some numbers are constructable without the use of a compass.
(b) Lindeman proved that square roots are irrational numbers.
(c) Lindeman proved that all numbers are constructable with a compass and ruler.
(d) Lindeman proved that some numbers are not constructable with only a compass and straight-edge.

2. Which of the following was a major part of Gauss' work in mathematics?
(a) Simple proofs to demonstrate Bernoulli's series.
(b) Elemental proofs related to the foundations of algebra.
(c) Proofs on the area of a square.
(d) Proofs to show that Archimedes' number theory was wrong.

3. Where was the modern number system developed?
(a) In ancient Rome.
(b) In the East.
(c) In the West.
(d) In ancient Alexanderia.

4. Which of the following was true about Cardano, according to Dunham?
(a) He was not a mathematician.
(b) He had three wives.
(c) He was jailed for heresy.
(d) He was a priest.

5. What did Heron's advances put into historical perspective for Dunham?
(a) A shift in information flow that ignored socioeconomic order.
(b) A change in political theory across the globe.
(c) A shift in learning across continents.
(d) A change in learning foundations in the ancient scholarly universities.

Short Answer Questions

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

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

3. Who challenged Tartaglia to a contest to solve cubic equations?

4. What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?

5. What did Euclid state about pi in Elements?

(see the answer key)

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