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

2. What did Plato use his inspiration from Euclid for?
(a) To classify geometric shapes by their complexity.
(b) To construct his theory on the shape of the Universe.
(c) To prove Euclid's number theory was incorrect.
(d) To create a new theorem of algebra.

3. What is true about prime numbers?
(a) That for every group of prime numbers, there exists at least one more prime.
(b) Prime numbers can not exist in a finite series.
(c) Prime numbers can never be an odd number.
(d) Prime numbers are not divisible by other numbers.

4. What was Euclid's definition of a prime number?
(a) Numbers which can only be divided by themselves and 1.
(b) Numbers which are divisible by 2.
(c) Numbers which contain an infinite number of composite numbers.
(d) Numbers which do not, and can not, contain a perfect number.

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

Short Answer Questions

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

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

3. What is a "depressed cubic"?

4. Which of the following was an important proposition given by Euclid's number theory?

5. Who was del Ferro's student?

(see the answer key)

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