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This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

Multiple Choice Questions

1. How many sides did the pentadecagon have, as presented by Euclid?
(a) Five.
(b) Fifteen.
(c) Twenty.
(d) Ten.

2. What sum did Euler find for the series?
(a) π²/6
(b) The sum was infinite.
(c) 2.
(d) 1.

3. Which of the following was true about Cardano, according to Dunham?
(a) He was a priest.
(b) He was jailed for heresy.
(c) He had three wives.
(d) He was not a mathematician.

4. What were the main technique(s) that Euler used to find the sum of the series?
(a) Calculus methods.
(b) Cubic equations.
(c) Quadratic sums,
(d) Trigonometry and basic algebra.

5. 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) If a new number is found to be composite, then it must have some prime as a divisor.
(c) Take a finite group of primes and add them together, plus one.
(d) After summation, the new number can be prime or composite.

Short Answer Questions

1. What is a "depressed cubic"?

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

3. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?

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

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

(see the answer key)

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