Journey Through Genius: The Great Theorems of Mathematics Quiz

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Take our free Journey Through Genius quiz below, with 25 multiple choice questions that help you test your knowledge. Determine which chapters, themes and styles you already know and what you need to study for your upcoming essay, midterm, or final exam. Take the free quiz now!

Directions: Click on the correct answer.

Questions 1-5 of 25:

1.

What were the two types of transfinite cardinals defined by Cantor? (from Cantor and the Transfinite Realm)

Ã—ÂÃ¢â€šâ€™ and c.

c and pi.

pi and Ã—ÂÃ¢â€šâ€™.

1 and pi.

2.

Which of the following best describes Cardano's character? (from Cardano and the Solution of the Cubic)

Arrogant.

Eccentric.

Religious.

Flirtacious.

3.

How did Cantor finally prove his theory? (from Cantor and the Transfinite Realm)

By refining and expanding set theory.

By extension of the Pythagorean Theorem.

By using basic algebra.

By extension of the infinite series.

4.

Which of the following demonstrates the successive squared denominator series? (from The Bernoullis and the Harmonic Series)

1 + 1/4 + 1/9 + 1/16 . . .

1 + 1/2 + 1/6 + 1/10 + 1/15 . . .

1 + 1/2 + 1/3 + 1/4 + 1/5 . . . 1/1000 . . .

1 + 1/2 + 3/4 + 4/5 . . .

5.

As described by Dunham, what did Archimedes demonstrate first in his proof on pi? (from Archimedes' Determination of Circular Area)

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.

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.

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.

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.

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