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

2. What was the title of Cardano's book which contained the solution to the cubic?
(a) Tarsisia.
(b) Elements.
(c) La Magnifica.
(d) Ars Magna.

3. Which of the following was NOT defined by Euclid?
(a) Whole numbers.
(b) Even numbers.
(c) Nominal numbers.
(d) Odd numbers.

4. Which of the following is false about the modern implications of Euclid's number theory?
(a) Euclid gave a good idea for how to construct even perfect numbers.
(b) Great mathematicians continue to puzzle over some aspects of Euclid's number theory.
(c) Euclid's recipe for constructing even perfect numbers is incorrect.
(d) Whether there are no odd perfect numbers is still not known.

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

Short Answer Questions

1. What did Plato use his inspiration from Euclid for?

2. In what time period did mathematicians find a solution to cubic equations?

3. Who challenged Tartaglia to a contest to solve cubic equations?

4. What were the main technique(s) that Euler used to find the sum of the series?

5. What series was Euler most famous for?

(see the answer key)

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