View a FREE sample

This quiz consists of 5 multiple choice and 5 short answer questions through The Extraordinary Sums of Leonhard Euler.

Multiple Choice Questions

1. What did Plato use his inspiration from Euclid for?
(a) To construct his theory on the shape of the Universe.
(b) To create a new theorem of algebra.
(c) To prove Euclid's number theory was incorrect.
(d) To classify geometric shapes by their complexity.

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

3. Which of the following was NOT defined by Euclid?
(a) Odd numbers.
(b) Even numbers.
(c) Whole numbers.
(d) Nominal numbers.

4. Which of the following could NOT be included as a step in Euclid's great theorem?
(a) After summation, the new number can be prime or composite.
(b) Take a finite group of primes and add them together, plus one.
(c) If a new number is found to be composite, then it must have some prime as a divisor.
(d) Divide a infinite group of primes by the sum of their composites.

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

Short Answer Questions

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

2. What is true about prime numbers?

3. Where was Euler born?

4. What series was Euler most famous for?

5. Which of the following best describes Cardano's character?

(see the answer key)

This section contains 291 words (approx. 1 page at 300 words per page) View a FREE sample