Journey Through Genius: The Great Theorems of Mathematics Test | Final Test - Easy

William Dunham (mathematician)
This set of Lesson Plans consists of approximately 142 pages of tests, essay questions, lessons, and other teaching materials.

Journey Through Genius: The Great Theorems of Mathematics Test | Final Test - Easy

William Dunham (mathematician)
This set of Lesson Plans consists of approximately 142 pages of tests, essay questions, lessons, and other teaching materials.
Buy the Journey Through Genius: The Great Theorems of Mathematics Lesson Plans
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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. On who's work did Euler base his number theory?
(a) Bernoulli's.
(b) Leibniz's.
(c) Fermat's.
(d) Newton's.

2. What did most of 19th century mathematics focus on, as highlighted by Dunham?
(a) Algebra.
(b) The theoretical.
(c) The immediately practical.
(d) Geometry.

3. Which of the following is a quote from Bertrand Russell included by Dunham?
(a) "The study of mathematics is the study of the universe."
(b) "Mathematics is truth."
(c) "Mathematics, rightly viewed, posses not only truth, but supreme beauty."
(d) "Matematicians are the gatekeepers of knowledge."

4. In the Bernoulli's time, what was the current definition of a series?
(a) The finite sum of a divergent series.
(b) The sum of a never-ending series of terms.
(c) The infinite sum of a convergent series.
(d) The sum of a finite series of terms.

5. In his later life, what position did Isaac Newton hold?
(a) Professor of philosophy in Paris.
(b) Principle science advisor to Charles II.
(c) Angelican father.
(d) Warden of the Mint.

6. Where did Euler study at the age of 20?
(a) Cambrigde.
(b) The Academy in St. Petersburg.
(c) Oxford.
(d) University of Moscow.

7. 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 with a sum of 2.
(b) It's a convergent series of cubic numbers.
(c) It's a divergent series squared numbers.
(d) It's a convergent series of triangular numbers.

8. Which phrase best describes Newton as a student at Cambridge?
(a) Quiet recluse of no intelligence.
(b) Tolerant, mildly interested in science.
(c) Unnoticed, but remarkable.
(d) A highly praised genius.

9. What did Cantor find after extending the continuum between 0 and 1 into two dimensions?
(a) That the set is equal to 1.
(b) That the set is still equal to c.
(c) That the series is infinite.
(d) That the set is infinite.

10. When was Euler born?
(a) 1658.
(b) 1903.
(c) 1707.
(d) 1796.

11. What did Cantor define as the continuum?
(a) The square root of any real number.
(b) All imaginary and real numbers.
(c) All imaginary numbers.
(d) Real numbers between 0 and 1.

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

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

14. Where does the center of mathematical thinking shift to after Italy?
(a) To France and Britian.
(b) To Britian and Scotland.
(c) To Germany and Russia.
(d) To Turkey and Russia.

15. What did Cantor struggle with later in his life?
(a) Mental illness.
(b) Seizures.
(c) Leukemia.
(d) Blindness.

Short Answer Questions

1. What is true about the successive squared denominator series proposed by the Bernoullis?

2. In what area was Gauss especially interested?

3. Who were Johann and Jakob Bernoulli?

4. What did Cantor develop?

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

(see the answer keys)

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