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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. What didn't Euler attempt?
(a) A series where exponents are even.
(b) A series where exponents are odd.
(c) A series starting with the number 1.
(d) A series of sequencially smaller terms.

2. What was described as true about the series 1 + 1/2 + 1/6 + 1/10 + 1/15 + 1/21?
(a) It's a divergent series squared numbers.
(b) It's a divergent series with a sum of 2.
(c) It's a convergent series of cubic numbers.
(d) It's a convergent series of triangular numbers.

3. What did Cantor's work do to mathematics?
(a) It forced the reexamination of set theory.
(b) It raised arguments on the origins of geometry.
(c) It caused a reevaluation of basic algebra.
(d) It caused much agreement among mathematicians on the use of calculus.

4. Which shapes as described by Euclid, inspired the Greek philosopher Plato?
(a) Spheres and cones.
(b) Manifolds.
(c) Regular polyhedrons.
(d) Triangles.

5. What shape was NOT demonstrated in the Elements as having a relationship to other shapes?
(a) Pentagon.
(b) Hyperbola.
(c) Triangle.
(d) Hexagon.

Short Answer Questions

1. Which of the following is an example of a perfect number?

2. What did Dunham describe about the following series 1 + 2 + 3 + 4. . .?

3. Which name does NOT belong?

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

5. What concept did Dunham end his book with?

(see the answer key)

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