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This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

Multiple Choice Questions

1. What did the Pythagorean Theorem accomplish for mathematics?
(a) The concept of constructing useful mathematics.
(b) The ability to measure angles.
(c) The ability to find square roots.
(d) The concept of providing a logical proof.

2. Who's method did Tartaglia's challenger use in the contest to solve cubic equations?
(a) Pacioli's method.
(b) Cardano's method.
(c) Fontana's method.
(d) del Ferro's method.

3. What didn't Euler attempt?
(a) A series starting with the number 1.
(b) A series where exponents are odd.
(c) A series where exponents are even.
(d) A series of sequencially smaller terms.

4. What did Heron's advances put into historical perspective for Dunham?
(a) A change in political theory across the globe.
(b) A change in learning foundations in the ancient scholarly universities.
(c) A shift in learning across continents.
(d) A shift in information flow that ignored socioeconomic order.

5. How do we know about Hippocrates proofs and theorems?
(a) His books and publications.
(b) What we know is from references of later mathematicians.
(c) What is known from archived documents of his time.
(d) Mathematicians rewrote all of his proofs after his death,

Short Answer Questions

1. What was the title of Cardano's book which contained the solution to the cubic?

2. What did Euclid do in his 48th proposition?

3. Which of the following is false about the modern implications of Euclid's number theory?

4. Which of the following could NOT be included as a step in Euclid's great theorem?

5. Where was Archimedes born?

(see the answer key)

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