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

Name: _________________________ | Period: ___________________ |

This quiz consists of 5 multiple choice and 5 short answer questions through A Sampler of Euler's Number Theory.

## Multiple Choice Questions

**1. What series was Euler most famous for?**
**(a)** 1 + 1/4 + 1/9 + 1/16 . . . + 1/k² . . . **(b)** 1 + 1/2 + 1/6 + 1/10 + 1/15 . . . **(c)** 1 + 1/2 + 3/4 + 4/5 . . . **(d)** 1 + 1/2³ + 1/3³ + 1/4³ . . . 1/k³ . . .

**2. Which of the following can not be solved using algebra?**
**(a)** Triangulation. **(b)** Quintic equation. **(c)** Quadratic equation. **(d)** Geometric equation.

**3. Which words best describe how solid proofs were developed in Elements?**
**(a)** Axiomatic framework. **(b)** Simple arguments. **(c)** Inverted scaffold. **(d)** Programmed order.

**4. What did Hippocrates do that advanced mathematical methods?**
**(a)** He demonstrated that geometry does not have to be based on previous knowledge. **(b)** He built theorems based on sequencially more complex proofs. **(c)** He proved that mathematics can be applied in a unlogical order. **(d)** He created a new ways to disprove theories.

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

## Short Answer Questions

**1.** According to Dunham, who was most able to collect knowledge from around the globe?

**2.** In general, what did Euclid's number theory describe?

**3.** What does the Pythagorean Theorem state?

**4.** Which of the following was NOT one of the basic definitions in Elements?

**5.** Who was del Ferro's student?

This section contains 269 words(approx. 1 page at 300 words per page) |