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 series was Euler most famous for?
(a) 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . .
(b) 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .
(c) 1 + 1/2 + 3/4 + 4/5 . . .
(d) 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . .

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

3. Exactly what limit is reached at a quartic equation?
(a) The limit of algebra.
(b) The limit of logical geometric proofs.
(c) The limit of the decompressed cubic method.
(d) The limit of the Pythagorean Theorem.

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

5. What didn't Euler attempt?
(a) A series where exponents are even.
(b) A series starting with the number 1.
(c) A series of sequencially smaller terms.
(d) A series where exponents are odd.

Short Answer Questions

1. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

2. What else, besides a solution to cubic equations, was in Cardano's book?

3. Which of the following could NOT be included as a step in Euclid's great theorem?

4. Who was Euler's teacher?

5. Who was del Ferro's student?

(see the answer key)

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