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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. Who were Johann and Jakob Bernoulli?
(a) Brothers and students of Leibniz.
(b) Cousins and students with Leibniz in Paris.
(c) Twin brothers and students of Newton.
(d) Cousins and students with Newton at Cambridge.

2. What sum did Euler find for the series?
(a) π²/6
(b) 1.
(c) The sum was infinite.
(d) 2.

3. What did Euler prove about 2²ⁿ + 1?
(a) That the statement is always a prime number.
(b) That the statement is always a composite number.
(c) That the statement is neither prime nor composite.
(d) That the statment is sometimes prime and sometimes composite.

4. Which word best describes Newton's childhood?
(a) Hard.
(b) Simple.
(c) Troubled.
(d) Cold.

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

Short Answer Questions

1. Why did Cardano take an oath to secrecy?

2. Which of the following is an example of a postulate that must be accepted in Elements?

3. What was similar about both Euler and Gauss as children?

4. What is a "depressed cubic"?

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

(see the answer key)

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