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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 Gauss feel about his best work?
(a) He was confident that his students would find it of great importance.
(b) He was uncertain if it was useful.
(c) He was unceratin if it would be accepted by his collegues.
(d) He was confident that it would change mathematics.

2. What was most useful about finding the square of a shape, before Hippocrates?
(a) It was useful in finding the area of oddly shaped pieces of land.
(b) It was useful in finding the area of circles.
(c) It was useful in creating simple elevation maps,
(d) It was useful in determining the distance between two points.

3. Who was Euler's teacher?
(a) Johann Bernoulli.
(b) Gottfried Leibniz.
(c) Isaac Newton.
(d) Jakob Bernoulli.

4. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?
(a) Perfect number.
(b) Nominal number.
(c) Even number.
(d) Composite number.

5. Which of the following was NOT true about Archimedes, according to Dunham?
(a) He died during the fall of Syracuse.
(b) His death was described as being by the hands of a Roman invader.
(c) Archimedes died because he refused to follow orders until he completed a math problem.
(d) He died as a soldier.

Short Answer Questions

1. On who's work did Euler base his number theory?

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

3. Who acted as the gate keepers of knowledge?

4. What did Dunham consider as Archimedes's "masterpiece"?

5. How did Lindeman prove his conclusion?

(see the answer key)

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