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. 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) Pacioli's method.
(d) Cardano's method.

2. What was the title of Cardano's book which contained the solution to the cubic?
(a) Elements.
(b) La Magnifica.
(c) Ars Magna.
(d) Tarsisia.

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

4. In what time period did mathematicians find a solution to cubic equations?
(a) Thirteenth century.
(b) Seventeeth century.
(c) Twentieth century.
(d) Fifteen century.

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

Short Answer Questions

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

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

3. What was Euclid's definition of a prime number?

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

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

(see the answer key)

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