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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 shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Hyperbola.
(b) Hexagon.
(c) Triangle.
(d) Pentagon.

2. Which of the following could NOT be included as a step in Euclid's great theorem?
(a) Divide a infinite group of primes by the sum of their composites.
(b) After summation, the new number can be prime or composite.
(c) Take a finite group of primes and add them together, plus one.
(d) If a new number is found to be composite, then it must have some prime as a divisor.

3. Besides being a mathematician, what else other work was Archimedes famous for?
(a) Artist and musician.
(b) Inventor and scientist.
(c) Politician.
(d) Doctor and writer,

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

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) He died as a soldier.
(d) Archimedes died because he refused to follow orders until he completed a math problem.

Short Answer Questions

1. Which of the following becomes an important definition in mathematics that was first presented in Elements?

2. Who was the author of the book Elements?

3. Where was Archimedes born?

4. What did Dunham consider extraordinary about the Elements?

5. How did Gauss feel about his best work?

(see the answer key)

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