View a FREE sample

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

2. What were the proofs in Elements based on?
(a) Lindeman's method.
(b) Basic definitions.
(c) Novel notions.
(d) Ancient greek geometry.

3. On who's work did Euler base his number theory?
(a) Newton's.
(b) Fermat's.
(c) Leibniz's.
(d) Bernoulli's.

4. How do we know about Hippocrates proofs and theorems?
(a) What we know is from references of later mathematicians.
(b) What is known from archived documents of his time.
(c) Mathematicians rewrote all of his proofs after his death,
(d) His books and publications.

5. According to Euclid, when is a triangle a right triangle?
(a) When a triangle has a side whose square is the sum of the squares of the two legs.
(b) When a triangle does not have a side which can be considered a hypotenuse.
(c) When a triangle can be constructed with three unequal sides.
(d) When a triangle has three sides whose squares are equal to the area of the triangle.

Short Answer Questions

1. Besides being a mathematician, what else other work was Archimedes famous for?

2. According to Dunham, who was most able to collect knowledge from around the globe?

3. What allowed Cardano to justify publishing his book?

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

5. How did Archimedes arrive at a number value for pi?

(see the answer key)

This section contains 358 words (approx. 2 pages at 300 words per page) View a FREE sample