Journey Through Genius: The Great Theorems of Mathematics Quiz | Four Week Quiz B

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. Which of the following best describes Cardano's character?
(a) Flirtacious.
(b) Eccentric.
(c) Religious.
(d) Arrogant.

2. How did Archimedes arrive at a number value for pi?
(a) By constructing multi-sided polygons inside and outside a circle and determining their perimeters.
(b) By proving that pi could not be a negative number.
(c) By constructing successively smaller circles inside circles until he realized all of their ratios of diameter to area were equal.
(d) By proving pi could not be equal to one.

3. What did British scholars accuse Leibniz of?
(a) Plagiarizing Newton's calculus method.
(b) Stealing Newton's Binomial theorem.
(c) Publishing Newton's work without his approval.
(d) Conspiring the death of Newton.

4. What was Eratosthanes most famous for?
(a) He showed that there are no even prime numbers.
(b) He developed a way to navigate using logitude and latitude.
(c) He developed a simple way to find prime numbers and for determining the circumference of the Earth.
(d) He showed that the Earth must be a sphere.

5. Which mathematician was first to take the challenge to solve cubic equations?
(a) Luca Pacioli.
(b) Tartaglia.
(c) Niccolo Fontana.
(d) Scipione del Ferro.

Short Answer Questions

1. What did Dunham consider as Archimedes's "masterpiece"?

2. Which word best describes Newton's childhood?

3. What name did Euclid give for numbers that could be divided by numbers other than themselves and one?

4. What hindered Euler's work as he grew older?

5. What is the sum of the series 1 + 1/2³ + 1/3³ + 1/4³ ... 1/k³ . . .?

(see the answer key)

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