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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. How many sides did the pentadecagon have, as presented by Euclid?
(a) Ten.
(b) Five.
(c) Twenty.
(d) Fifteen.

2. What allowed Cardano to justify publishing his book?
(a) He was punished as a heretic,
(b) He found Fior's documents which spoke against Tartaglia.
(c) He found del Ferro's orgininal solution to the cubic.
(d) He was dead, and the book was really published by his student.

3. Who challenged Tartaglia to a contest to solve cubic equations?
(a) del Ferro.
(b) Fior.
(c) Cardano.
(d) Pacioli.

4. What were the main technique(s) that Euler used to find the sum of the series?
(a) Trigonometry and basic algebra.
(b) Quadratic sums,
(c) Calculus methods.
(d) Cubic equations.

5. Who wrote a treatise that supposed that cubic equations may be impossible to solve?
(a) Luca Pacioli.
(b) Gerolamo Cardano.
(c) Niccolo Fontana.
(d) Scipione del Ferro.

Short Answer Questions

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

2. Where was Euler born?

3. Why did Cardano take an oath to secrecy?

4. Where did Euler study at the age of 20?

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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