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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 did Dunham consider extraordinary about the Elements?
(a) How Hippocrates ordered the book.
(b) How geometric proofs were presented.
(c) The content was not based on previous authors' work.
(d) The content was totally unique.

2. What was Hippocrates famous for?
(a) His theorem on the quadrature of the lune.
(b) His ability to construct circles without a compass.
(c) His proof on right triangles.
(d) His proof defining gravity.

3. Which of the following did Dunham concentrate on as one of Newton's great advances?
(a) Area of a sphere.
(b) Quadratic equation.
(c) Quintic theorem.
(d) Binomial theorem.

4. Which of the following is true in modern math about twin primes?
(a) Their sum is always another prime number.
(b) They are infinite.
(c) They are not considered whole numbers.
(d) We don't know if they are finite or infinite.

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

Short Answer Questions

1. After working on pi, what did Archimedes continue with in his study of mathematics?

2. In Elements, how many postulates must be accepted as given?

3. In what area was Gauss especially interested?

4. As described by Archimedes, what is always true about he diameter of the circle?

5. Who was Heron?

(see the answer key)

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