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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 Ferdinand Lindeman prove in 1882?**
**(a)** That the square of a circle can not be found with a compass and a straight-edge. **(b)** That the square root of the hypotenuse of a right triangle can not be found. **(c)** It is possible to find the square of a circle. **(d)** It is impossible to find the square of a semicircle.

**2. Who was Euler's teacher?**
**(a)** Jakob Bernoulli. **(b)** Isaac Newton. **(c)** Gottfried Leibniz. **(d)** Johann Bernoulli.

**3. What great theorem is presented by Dunham in this chapter?**
**(a)** A theorem on series developed by Jakob and published by Johann Bernoulli. **(b)** A theorem on finite series developed by Johann Bernoulli. **(c)** An improvement on Leibniz's caluclus as presented by Jakob Bernoulli. **(d)** A theorem on infinite series published by Jakob Bernoulli.

**4. What did Gauss construct?**
**(a)** A system where the angles of a triangle add up to fewer than 180 degrees. **(b)** A system where the angles of a triangle add up to more than 180 degrees. **(c)** A proof that demonstrated the circumference of Earth. **(d)** A proof that demonstrates Newtonian physics.

**5. What did Dunham consider as Archimedes's "masterpiece"?**
**(a)** Archimedes' work on determining a number value for pi. **(b)** Archimedes' work on volume to surface area ratios. **(c)** Archimedes' work on shperes, cones, and cylinders. **(d)** Archimedes' work on determining angular measurements.

## Short Answer Questions

**1.** Exactly what limit is reached at a quartic equation?

**2.** Which of the following is true about pi, as described by Dunham.

**3.** On who's work did Euler base his number theory?

**4.** Which of the following was a major part of Gauss' work in mathematics?

**5.** Which of the following demonstrates the successive squared denominator series?

This section contains 366 words(approx. 2 pages at 300 words per page) |