Journey Through Genius: The Great Theorems of Mathematics Quiz | Eight Week Quiz F

William Dunham (mathematician)
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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?

(see the answer key)

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