Journey Through Genius: The Great Theorems of Mathematics Quiz | One Week Quiz A

William Dunham (mathematician)
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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. Numbers whose divisor add up to itself, was considered which type of number according to Euclid?
(a) Nominal number.
(b) Composite number.
(c) Even number.
(d) Perfect number.

2. Who was del Ferro's student?
(a) Niccolo Fontana.
(b) Antonio Fior.
(c) Luca Pacioli.
(d) Gerolamo Cardano.

3. What is a "depressed cubic"?
(a) A method to simpify the x squared value in a cubic equation.
(b) A method to simplify measuring complex geometric forms.
(c) A method to solve equations with two variables.
(d) A method to logically square all the factors in a cubic equation.

4. Which mathematician was first to take the challenge to solve cubic equations?
(a) Tartaglia.
(b) Luca Pacioli.
(c) Niccolo Fontana.
(d) Scipione del Ferro.

5. Which of the following could NOT be included as a step in Euclid's great theorem?
(a) After summation, the new number can be prime or composite.
(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) Take a finite group of primes and add them together, plus one.

Short Answer Questions

1. Which of the following were an example of twin primes?

2. Which of the following can not be solved using algebra?

3. In general, what did Euclid's number theory describe?

4. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

5. What sum did Euler find for the series?

(see the answer key)

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