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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. Dunham showed that Heron's proof could also be used as which of the following?**
**(a)** A proof of Euclid's number theory **(b)** A proof of Archimedes' number theory. **(c)** A proof of the Pythagorean Theorem. **(d)** A proof of Hippocrates' squared areas.

**2. Who wrote a treatise that supposed that cubic equations may be impossible to solve?**
**(a)** Gerolamo Cardano. **(b)** Scipione del Ferro. **(c)** Luca Pacioli. **(d)** Niccolo Fontana.

**3. What was the same about the series proposed by Leibniz and the series proposed by Bernoulli?**
**(a)** Both series were divergent. **(b)** Both series were composed of successively smaller terms. **(c)** Both series were composed of successively larger terms. **(d)** Both series were convergent.

**4. Besides being a mathematician, what else other work was Archimedes famous for?**
**(a)** Doctor and writer, **(b)** Inventor and scientist. **(c)** Politician. **(d)** Artist and musician.

**5. What did Gauss do with his best work?**
**(a)** He gave it to his son to publish. **(b)** He published it. **(c)** He did not publish it. **(d)** He gave it to his students.

## Short Answer Questions

**1.** What did Dunham consider as Archimedes's "masterpiece"?

**2.** What was true about Heron's theorem as described by Dunham?

**3.** What great theorem is presented by Dunham in this chapter?

**4.** What did Gauss construct?

**5.** Which of the following was a major part of Gauss' work in mathematics?

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