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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. In what area was Gauss especially interested?
(a) The circumference of Earth.
(b) The elements of geometry.
(c) The elements of number theory.
(d) The proof of the infinite series.

2. Which was true of Euclid's number theory?
(a) It was proven to the true by Hippocrates.
(b) It has been proven too basic to be useful.
(c) It was incorrect, as proved by Plato.
(d) It has an impact on modern math.

3. What was the same about Apollonius and Erosthanes?
(a) They were both born in the same year.
(b) They both studied the Universe.
(c) They both calculated the circumference of the earth.
(d) They were both mathematicians.

4. After Hippocrates, what shape did the Greeks attempt to square without success?
(a) Parallelogram.
(b) Hemisphere.
(c) Pentagon.
(d) Circle.

5. 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 very good, considering he did not have a way to calculate square roots.
(d) Archimedes's number was not very accurate, considering the technology of his time.

Short Answer Questions

1. Where does the center of mathematical thinking shift to after Italy?

2. Which of the following was NOT one of Gauss' discoveries?

3. What was the title of Cardano's book which contained the solution to the cubic?

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

5. Which of Euclid's postulates troubled many of the following generations of mathematicians?

(see the answer key)

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