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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 was Neil's Abel?
(a) He demonstrated that Cardano's solution to the cubic was incorrect,
(b) He demonstrated the modern version of the Pythagorean Theorem.
(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.

2. What hindered Euler's work as he grew older?
(a) His increasing blindness.
(b) He had a stroke.
(c) He had very bad arthritis.
(d) His hearing was getting worse.

3. Which of the following was one of Euclid's great theorems?
(a) There exists an infinite number of prime numbers.
(b) There exists an finite number of prime numbers.
(c) There exists only infinite and whole numbers.
(d) Prime numbers are more comples than discrete numbers.

4. What else, besides a solution to cubic equations, was in Cardano's book?
(a) An alegrabic solution to quintic equations,
(b) A solution to quartic equations.
(c) A proof of the Pythagorean Theorem.
(d) A suggested method to depress all complex geometry.

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

Short Answer Questions

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

2. Which of the following can not be solved using algebra?

3. Who wrote a treatise that supposed that cubic equations may be impossible to solve?

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

5. What was most noticeable about Euler at a young age?

(see the answer key)

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