Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz F

William Dunham (mathematician)
This set of Lesson Plans consists of approximately 142 pages of tests, essay questions, lessons, and other teaching materials.

Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz F

William Dunham (mathematician)
This set of Lesson Plans consists of approximately 142 pages of tests, essay questions, lessons, and other teaching materials.
Buy the Journey Through Genius: The Great Theorems of Mathematics Lesson Plans
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 great theorem is presented by Dunham in this chapter?
(a) A theorem on series developed by Jakob and published by Johann Bernoulli.
(b) A theorem on finite series developed by Johann Bernoulli.
(c) A theorem on infinite series published by Jakob Bernoulli.
(d) An improvement on Leibniz's caluclus as presented by Jakob Bernoulli.

2. As described by Dunham, what did Archimedes demonstrate first in his proof on pi?
(a) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's circumference.
(b) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's radius and the other leg equal to the circle's diameter.
(c) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's diameter and the other leg equal to the circle's circumference.
(d) Area of a circle is equal to that of a right triangle that has one leg equal to the circle's hypotenuse and the other leg equal to the circle's circumference.

3. Which of the following was NOT one of Gauss' discoveries?
(a) That under Euclid's definition parallel lines can intersect.
(b) "Non-euclidean" geometry.
(c) That there is no apparent contraction to the assumption that the sum of angles in a triangle can have fewer than 180 degrees.
(d) That angles in a triangles can not add up to more than 180 degrees.

4. Who, in modern day, is given credit for the calculus method?
(a) Johann Bernoulli.
(b) Leibniz.
(c) Both Newton and Leibniz.
(d) Newton,

5. What was the same about Apollonius and Erosthanes?
(a) They both studied the Universe.
(b) They were both mathematicians.
(c) They were both born in the same year.
(d) They both calculated the circumference of the earth.

Short Answer Questions

1. Who eventually solved the sum of the successive squared denominator series?

2. Who acted as the gate keepers of knowledge?

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

4. What did Dunham consider extraordinary about the Elements?

5. What series was Euler most famous for?

(see the answer key)

This section contains 436 words
(approx. 2 pages at 300 words per page)
Buy the Journey Through Genius: The Great Theorems of Mathematics Lesson Plans
Copyrights
BookRags
Journey Through Genius: The Great Theorems of Mathematics from BookRags. (c)2024 BookRags, Inc. All rights reserved.