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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 to solve a quartic equation, one must use more than algebra.
(d) He proved that quintic equations cannot be solved using algebra.

2. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Hexagon.
(b) Hyperbola.
(c) Triangle.
(d) Pentagon.

3. What was most noticeable about Euler at a young age?
(a) He was not very quick with arithmatic.
(b) He had a remarkable memory.
(c) He was very athletic.
(d) He had an aptitude for literature.

4. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?
(a) Perfect numbers.
(b) Composite numbers.
(c) Discrete numbers.
(d) Even numbers.

5. 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.

Short Answer Questions

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

2. When was Euler born?

3. What allowed Cardano to justify publishing his book?

4. What did Euler's sum surprisingly connect?

5. Which mathematician was first to take the challenge to solve cubic equations?

(see the answer key)

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