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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. Who asked Tartaglia for his solution to cubic equations?**
**(a)** Cardano. **(b)** Fior, **(c)** Fontana. **(d)** Pacioli.

**2. Who encourages Newton during his studies at Cambridge?**
**(a)** Henry Stokes. **(b)** Henry Briggs. **(c)** John Napier. **(d)** Isaac Barrow.

**3. Which of the following is false about the modern implications of Euclid's number theory?**
**(a)** Euclid's recipe for constructing even perfect numbers is incorrect. **(b)** Euclid gave a good idea for how to construct even perfect numbers. **(c)** Whether there are no odd perfect numbers is still not known. **(d)** Great mathematicians continue to puzzle over some aspects of Euclid's number theory.

**4. Which of the following was one of Gauss' early discoveries?**
**(a)** A way to construct a regular 17-sided polygon. **(b)** A method to simplify Newton's calulus. **(c)** A demonstration of the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . **(d)** A proof that the Pythagorean Theorem was correct.

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

## Short Answer Questions

**1.** What is the name for determining the area of an enclosed space by constructing a square of equivalent area?

**2.** What else, besides a solution to cubic equations, was in Cardano's book?

**3.** What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

**4.** Where did Hippocrates come from?

**5.** Where was the modern number system developed?

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