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) 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) After summation, the new number can be prime or composite.
(d) Take a finite group of primes and add them together, plus one.

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

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

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

5. Who asked Tartaglia for his solution to cubic equations?
(a) Fior,
(b) Cardano.
(c) Fontana.
(d) Pacioli.

Short Answer Questions

1. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

2. Which was true of Euclid's number theory?

3. Where was Neil's Abel from?

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

5. When was Euler born?

(see the answer key)

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