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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 Newton at Cambridge.
(c) Twin brothers and students of Newton.
(d) Cousins and students with Leibniz in Paris.

2. How did Euler prove if the number 4,294,967,297 was prime or composite?
(a) He used Newton's calulus methods.
(b) He factored it.
(c) He divided it by 2.
(d) He used his own rule of squares.

3. What range of values did Archimedes determine for pi?
(a) Between 3 1/2 and 3 5/8.
(b) Between 3 and 3 1/2.
(c) Between 3 and 4.
(d) Between 3 10/11 and 3 1/7.

4. What provided most of the content in the book Elements?
(a) Hypotheses.
(b) Propositions.
(c) Postulates.
(d) Notions.

5. Which of the following is a series that the Bernoullis proposed did not converge on a finite sum?
(a) 1 + 2 + 3 + 4 + 5. . .
(b) 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .
(c) 1 + 1/2 + 3/4 + 4/5 . . .
(d) 1 + 1/2 + 1/3 + 1/4 + 1/5 . . . 1/1000 . . .

Short Answer Questions

1. Which of the following is false about the modern implications of Euclid's number theory?

2. Which of the following was NOT one of the basic definitions in Elements?

3. Which of the following was a major part of Gauss' work in mathematics?

4. What was Euclid's definition of a prime number?

5. Heron's work referred to the work of what other famous scholar?

(see the answer key)

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