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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. What is the study of geometric properties that are invariant under projective transformations?
(a) Classical relativity.
(b) General relativity.
(c) Projective algebra.
(d) Projective geometry.

2. When was Lord Kelvin born?
(a) 1798.
(b) 1824.
(c) 1915.
(d) 1898.

3. According to the author in Chapter 6, “Infinity’s Twin,” geometry shows that mathematically the north and south poles of spheres do what?
(a) Repeat one another.
(b) Pull away from one another.
(c) Repel one another.
(d) Turn into one another.

4. Approximately when did Johannes Kepler live?
(a) 1611-1669.
(b) 1501-1559.
(c) 1489-1550.
(d) 1571-1630.

5. When was Philosophiæ Naturalis Principia Mathematica first published?
(a) 1632.
(b) 1568.
(c) 1666.
(d) 1687.

6. The Rayleigh–Jeans law revealed an important error in physics theory of its time. The law predicted an energy output that diverges towards infinity as wavelength approaches what?
(a) One.
(b) The sun.
(c) Pi.
(d) Zero.

7. Jean le Rond d'Alembert came up with what idea that solved the zero problem in calculus?
(a) A derivative.
(b) A limit.
(c) An equation.
(d) A quanta.

8. The absolute value of a number may be thought of as its distance from what?
(a) Zero.
(b) Two.
(c) One.
(d) Itself.

9. Where was Gottfried Wilhelm Leibniz from?
(a) Belgium.
(b) France.
(c) Germany.
(d) Great Britain.

10. The author suggests in Chapter 8, “Zero Hour at Ground Zero” that zero might spawn universes through a froth of what?
(a) Quantum gravity.
(b) Quantum foam.
(c) Quantum memory.
(d) Quantum disparity.

11. What mathematical term refers to a function that preserves distinctness by never mapping distinct elements of its domain to the same element of its codomain?
(a) Injective function.
(b) Bijective function.
(c) Derivative function.
(d) Differential equation.

12. What principle holds that there is an inverse relation between the fineness with which a particular's location can be determined and the fineness with which its velocity can be determined?
(a) The Planck constant.
(b) The Pythagorean Theorem.
(c) The Golden Ratio.
(d) The Heisenberg uncertainty principle.

13. In physics or chemistry, what term refers to particles that are smaller than an atom?
(a) Derivative particles.
(b) Subatomic particles.
(c) Static particles.
(d) Bionic particles.

14. The author notes in Chapter 6, “Infinity's Twin” that multiplying zero or infinity by itself equals what?
(a) One.
(b) Itself.
(c) Its inverse.
(d) Its negative.

15. The author states in Chapter 6, “Infinity’s Twin” that Carl Gauss realized that real and imaginary numbers could be what?
(a) Graphed together.
(b) Divided by one another.
(c) Multiplied by zero.
(d) Integrated into fractions.

Short Answer Questions

1. In what year was Albert Einstein awarded the Nobel Prize in 1921 for his “discovery of the law of the photoelectric effect”?

2. What term refers to an elementary particle, the quantum of light and all other forms of electromagnetic radiation?

3. Carl Gauss referred to mathematics as what?

4. Who coined the term “fermion” in particle physics?

5. The author asserts in Chapter 6, “Infinity's Twin” that with the introduction of imaginary numbers, the fundamental theorem of what mathematical branch was discovered?

(see the answer keys)

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