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. Which of the following was one of Gauss' early discoveries?
(a) A method to simplify Newton's calulus.
(b) A way to construct a regular 17-sided polygon.
(c) A proof that the Pythagorean Theorem was correct.
(d) A demonstration of the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . .

2. What hindered Euler's work as he grew older?
(a) He had a stroke.
(b) His hearing was getting worse.
(c) He had very bad arthritis.
(d) His increasing blindness.

3. To how many decimal places did Newton determine the number for pi?
(a) Nine places.
(b) Twelve places.
(c) Eight places.
(d) Three places.

4. Which of the following is true about pi, as described by Dunham.
(a) The measurement of pi should not have been so difficult for Archimedes to demonstrate.
(b) The measurement of pi is no longer a mystery as we have an exact number value in modern mathematics.
(c) The measurement of pi is a challenge that continues into modern mathematics.
(d) The measurement of pi was redetermined after Archimedes's death.

5. What did Gauss construct?
(a) A proof that demonstrated the circumference of Earth.
(b) A system where the angles of a triangle add up to fewer than 180 degrees.
(c) A proof that demonstrates Newtonian physics.
(d) A system where the angles of a triangle add up to more than 180 degrees.

Short Answer Questions

1. How did Gauss feel about his best work?

2. What didn't Euler attempt?

3. Which of the following did Dunham concentrate on as one of Newton's great advances?

4. "Straight lines in the same plane that will never meet if extended forever" is a definition of what?

5. What did most of Heron's work deal with?

(see the answer key)

This section contains 346 words (approx. 2 pages at 300 words per page) View a FREE sample