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

William Dunham (mathematician)
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This quiz consists of 5 multiple choice and 5 short answer questions through Cantor and the Transfinite Realm.

Multiple Choice Questions

1. How did Archimedes arrive at a number value for pi?
(a) By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal.
(b) By constructing multi-sided polygons inside and outside a circle and determining their perimeters.
(c) By proving that pi could not be a negative number.
(d) By proving pi could not be equal to one.

2. Who challenged Tartaglia to a contest to solve cubic equations?
(a) Pacioli.
(b) Fior.
(c) Cardano.
(d) del Ferro.

3. That properties of specific shapes were early Egyptians aware of?
(a) Pi and the diameter of a circle.
(b) Irregular solids.
(c) Right triangles.
(d) Parallelograms.

4. What did the Pythagorean Theorem accomplish for mathematics?
(a) The concept of constructing useful mathematics.
(b) The ability to measure angles.
(c) The concept of providing a logical proof.
(d) The ability to find square roots.

5. Which city was the center of thinking and learning in Third century BC?
(a) Olympia.
(b) Rome.
(c) Alexandria.
(d) Athens.

Short Answer Questions

1. What concept did Dunham end his book with?

2. What was known about pi, during Archimedes' time?

3. What series was Euler most famous for?

4. Where did George Cantor live in the 1860s and 1870s?

5. What was most noticeable about Euler at a young age?

(see the answer key)

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