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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. What did Dunham discuss for many pages in this chapter?
(a) Heron's political tendancy.
(b) Heron's religious beliefs-
(c) Heron's complicated proof.
(d) Heron's origins of the universe.

2. Which city was the center of thinking and learning in Third century BC?
(a) Alexandria.
(b) Rome.
(c) Olympia.
(d) Athens.

3. What did the Pythagorean Theorem accomplish for mathematics?
(a) The concept of constructing useful mathematics.
(b) The ability to measure angles.
(c) The concept of providing a logical proof.
(d) The ability to find square roots.

4. Which of the following was an important proposition given by Euclid's number theory?
(a) Any perfect number is divisible by some composite number.
(b) Any composite number is divisible by some prime number.
(c) Any even number is divisible by 3.
(d) Numbers from one to ten are only divisible by composite numbers.

5. What did Dunham claim about Archimedes's determination of a number value for pi?
(a) Archimedes's number was very good, considering he did not have a way to calculate square roots.
(b) Archimedes's number was perfectly correct.
(c) Archimedes's number could have been better if he had understood Euclid's work better,
(d) Archimedes's number was not very accurate, considering the technology of his time.

Short Answer Questions

1. Which shapes as described by Euclid, inspired the Greek philosopher Plato?

2. Who asked Tartaglia for his solution to cubic equations?

3. What did Heron's advances put into historical perspective for Dunham?

4. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?

5. What do we know in modern times about Heron?

(see the answer key)

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