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. 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) After summation, the new number can be prime or composite.
(d) If a new number is found to be composite, then it must have some prime as a divisor.

2. Who was Neil's Abel?
(a) He proved that quintic equations cannot be solved using algebra.
(b) He demonstrated the modern version of the Pythagorean Theorem.
(c) He demonstrated that Cardano's solution to the cubic was incorrect,
(d) He proved that to solve a quartic equation, one must use more than algebra.

3. Why did Cardano take an oath to secrecy?
(a) It was the only way to get Tartaglia's solution to cubic equations.
(b) It was the only way to get his book published.
(c) It was to the only way to win the contest with Fior,
(d) It was the only way he could become a priest,

4. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?
(a) Fontana's method.
(b) del Ferro's method.
(c) Cardano's method.
(d) Pacioli's method.

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

Short Answer Questions

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

2. Which shapes as described by Euclid, inspired the Greek philosopher Plato?

3. Where was Neil's Abel from?

4. What was the title of Cardano's book which contained the solution to the cubic?

5. What sum did Euler find for the series?

(see the answer key)

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