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This quiz consists of 5 multiple choice and 5 short answer questions through Cardano and the Solution of the Cubic.

Multiple Choice Questions

1. Which of the following best describes Archimedes as discussed by Dunham?
(a) Absent-minded genius.
(b) Creative but stubborn.
(c) Loud and arrogant.
(d) Mild-mannered researcher.

2. What did Apollonius work with in mathematics?
(a) He worked on conics.
(b) He worked on advanced algebra.
(c) He discovered the algrebraic equation.
(d) He develped a way to measure the volume of a sphere.

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

4. Who was Neil's Abel?
(a) He proved that quintic equations cannot be solved using algebra.
(b) He demonstrated the modern version of the Pythagorean Theorem.
(c) He proved that to solve a quartic equation, one must use more than algebra.
(d) He demonstrated that Cardano's solution to the cubic was incorrect,

5. Heron devised which of the following methods?
(a) A way to solve binomial equations.
(b) A way to apply mathematics to public health.
(c) A way to determine the volume in a sphere.
(d) A way to determine the area of a triangle.

Short Answer Questions

1. What was true about Hippocrates's proof?

2. Where was the modern number system developed?

3. What did Dunham discuss for many pages in this chapter?

4. How did Archimedes arrive at a number value for pi?

5. Which city was the center of thinking and learning in Third century BC?

(see the answer key)

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