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 Eratosthanes?
(a) He was the chief librarian, and a mathematician.
(b) He was a teacher and philosopher.
(c) He was a mathematician, and leading doctor.
(d) He was the first to study political sciences.

2. Which of the following did Dunham concentrate on as one of Newton's great advances?
(a) Binomial theorem.
(b) Area of a sphere.
(c) Quadratic equation.
(d) Quintic theorem.

3. How did Lindeman prove his conclusion?
(a) Lindeman proved that all numbers are constructable with a compass and ruler.
(b) Lindeman proved that some numbers are not constructable with only a compass and straight-edge.
(c) Lindeman proved that some numbers are constructable without the use of a compass.
(d) Lindeman proved that square roots are irrational numbers.

4. 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 could have been better if he had understood Euclid's work better,
(c) Archimedes's number was not very accurate, considering the technology of his time.
(d) Archimedes's number was perfectly correct.

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

Short Answer Questions

1. Which of the following is true in modern math about twin primes?

2. Who acted as the gate keepers of knowledge?

3. What else, besides a solution to cubic equations, was in Cardano's book?

4. How did Euler prove if the number 4,294,967,297 was prime or composite?

5. What range of values did Archimedes determine for pi?

(see the answer key)

This section contains 337 words (approx. 2 pages at 300 words per page) View a FREE sample