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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. How did Gauss feel about his best work?
(a) He was confident that his students would find it of great importance.
(b) He was confident that it would change mathematics.
(c) He was unceratin if it would be accepted by his collegues.
(d) He was uncertain if it was useful.

2. Which of the following best describes Cardano's character?
(a) Arrogant.
(b) Eccentric.
(c) Religious.
(d) Flirtacious.

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

4. Which of the following demonstrates the successive squared denominator series?
(a) 1 + 1/2 + 1/3 + 1/4 + 1/5 . . . 1/1000 . . .
(b) 1 + 1/4 + 1/9 + 1/16 . . .
(c) 1 + 1/2 + 1/6 + 1/10 + 1/15 . . .
(d) 1 + 1/2 + 3/4 + 4/5 . . .

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

Short Answer Questions

1. What were the proofs in Elements based on?

2. Where does the center of mathematical thinking shift to after Italy?

3. What did Euler's sum surprisingly connect?

4. Who was Heron?

5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?

(see the answer key)

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