*BookRags*. (c)2018 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

This quiz consists of 5 multiple choice and 5 short answer questions through Cantor and the Transfinite Realm.

## Multiple Choice Questions

**1. Which of the following was NOT a field in which Isaac Newton made enormous advances?**
**(a)** Optics. **(b)** Biology. **(c)** Physics. **(d)** Mathematics.

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

**3. Who acted as the gate keepers of knowledge?**
**(a)** Greek tradesman. **(b)** Greek philosophers. **(c)** Arabian scholars. **(d)** Roman emporers.

**4. Which of the following was NOT one of the basic definitions in Elements?**
**(a)** Parabola. **(b)** Straight Line. **(c)** Line. **(d)** Right angles.

**5. What great theorem is presented by Dunham in this chapter?**
**(a)** A theorem on series developed by Jakob and published by Johann Bernoulli. **(b)** An improvement on Leibniz's caluclus as presented by Jakob Bernoulli. **(c)** A theorem on infinite series published by Jakob Bernoulli. **(d)** A theorem on finite series developed by Johann Bernoulli.

## Short Answer Questions

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

**2.** What is true about real numbers between 0 and 1?

**3.** Which of the following best describes Archimedes as discussed by Dunham?

**4.** What were the proofs in Elements based on?

**5.** What was most useful about finding the square of a shape, before Hippocrates?

This section contains 312 words(approx. 2 pages at 300 words per page) |