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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. Which of the following was NOT true about Archimedes, according to Dunham?**
**(a)** Archimedes died because he refused to follow orders until he completed a math problem. **(b)** His death was described as being by the hands of a Roman invader. **(c)** He died during the fall of Syracuse. **(d)** He died as a soldier.

**2. Who else, besides Newton, independently discovered a calculus method?**
**(a)** Gottfried Leibniz. **(b)** John Napier. **(c)** Isaac Barrow. **(d)** Pierre de Fermat.

**3. What was Eratosthanes most famous for?**
**(a)** He developed a way to navigate using logitude and latitude. **(b)** He showed that the Earth must be a sphere. **(c)** He showed that there are no even prime numbers. **(d)** He developed a simple way to find prime numbers and for determining the circumference of the Earth.

**4. What did Newton's calculus involve?**
**(a)** Proving the existance of pi. **(b)** Determining the volume of a sphere. **(c)** Proving the cubic equation. **(d)** Determining the area under a curve.

**5. As described by Archimedes, what is always true about he diameter of the circle?**
**(a)** It's equal to pi. **(b)** It's equal to the square of the radius. **(c)** It's never proportional to its circumference. **(d)** It's always proportional to its circumference.

## Short Answer Questions

**1.** What is true about the successive squared denominator series proposed by the Bernoullis?

**2.** Which of the following is true about pi, as described by Dunham.

**3.** What is a "depressed cubic"?

**4.** In what century did Archimedes live?

**5.** What did Hippocrates do that advanced mathematical methods?

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