Pi day quiz

Today is the Pi day – an annual celebration of the mathematical constant Pi. It is observed every year on March 14, since Pi can be approximated by 3.14, and the this date is written as 3/14 in the month/day format.

To celebrate this day, here is a short quiz about Pi. You can find all the answers on the web, but it is more fun to try answering while depending only on personal knowledge. Let’s go!

1) In the ancient world, many cultures derived approximations to Pi. Which ancient culture had the best approximation?
a. Egypt
b. Babylon
c. Hebrews
d. India

2) Which of these fractions is the best approximation Pi?
a. 2549491779/811528438
b. 22/7
c. 3927/1250
d. 864/275

3) Who popularized the use of the Greek letter Pi to represent the ratio of a circle’s circumference to its diameter?
a. Carl Friedrich Gauss
b. Leonard Euler
c. Pierre Simon Laplace
d. Issac Newton

4) The problem of squaring the circle does not have a solution because Pi is
a. An algebraic number
b. A rational number
c. A transcendental number
d. An irrational number

5) Who prove that the problem of squaring the circle does not have a solution?
a. Carl Friedrich Gauss
c. Ferdinand von Lindman
d. Evariste Galois

6) Pi plays an important role in Statistics because
a. Numerical proportions can be illustrated by a pie chart
b. The sample size calculation formula contains Pi
c. The probability density function of the Normal distribution contains Pi
d. Pi is the maximal value of Euler’s population density curve

7) Who was born on Pi day?
a. Johann Strauss
c. Johann Sebastian Bach
d. Georges Bizet

8) The value of Pi is implied as equal to 3 in:
a. The New Testament
b. The Bible
c. The Quran
d. The Epic of Gilgamesh

9) The first known rigorous algorithm for calculating the value of Pi was devised by
a. Shankara Variyar
b. Liu Hui
c. Archimedes
d. Ibn al-Haytham

10)  Who had the digits of Pi engraved on his tombstone?

a. Ibn al-Haytham
b. Émilie du Châtelet
c. Jean Victor Poncelet
d. Ludolph van Ceulen

Good luck! I will post the answers next week.

Nobel Prize in Mathematics

During this week, the 2019 Nobel Prize winners are announced. We can be sure that nobody will win the Nobel Prize for mathematics. The reason is simple. There is no Nobel Prize for Mathematics.

There are many urban legends regarding this. Most of them relate to an alleged love affair that Ms. Nobel had with a prominent mathematician. These stories conclude that Alfred Nobel did not want to award a prize for mathematics, since his wife’s lover is a leading candidate to win the prize. The most famous of this stories relates Ms. Nobel to the French mathematician Augustine Cauchy. Nice story, but Alfred Nobel was not married.

There is no Nobel Prize for Mathematics, but the Nobel Prize was awarded to mathematicians many times. Some of the most prominent winners were mathematicians John NashRobert Aumann and Kenneth Arrow, who all won the Nobel Prize of Economics. However, some will argue that the Nobel Prize in Economics is not a real Nobel Prize but a Nobel Prize. Oh well.

In addition, many mathematicians won the Nobel Prize in Physics, because in fact one cannot engage in high-level physics without proper mathematical education, and engaging in theoretical physics for themselves need to develop innovative mathematical tools.

My research has shown that four mathematicians have won Nobel Prizes that are not in Economics or Physics. Two won the Literature Prize, and two others won the Chemistry Prize. In this post I will review them and their work.

 Four mathematicians who won the Nobel Prize. From left to right: Jose Echegaray (Literature, 1904), Bertrand Russell (Literature, 1950), Herbert Hauptman (Chemistry, 1985), John Pople (Chemistry, 1998).

The first mathematician to win the Nobel Prize was the Spanish Jose Echegaray. Echegaray was born in Madrid in 1832. He demonstrated his mathematical talent at a very young age, and was appointed professor of mathematics at the University of Madrid at the age of 21. In addition to his work in mathematics, he devoted his time to research in economics and worked to promote Spain’s international trade. With the abolition of the Spanish monarchy in the revolution of 1868, he retired from his academic position and was appointed Minister of Finance and Education of the Spanish Government. With the restoration of the monarchy in 1874, he retired from political life and began a new career as a writer, producing a series of successful satirical plays presented throughout Europe at the end of the 19th century. These plays earned him the Nobel Prize for Literature, awarded to him in 1904. Had Echegaray’s mathematical skills been useful to him in his literary career? Maybe. Literature scholars praise the meticulous structure of his plays. More likely, he was a very talented man who succeeded in everything he has done.

Another mathematician won the Nobel Prize for Literature 46 years later. The prize was awarded to Bertrand Russell in 1950. The prize committee noted it was awarded to him for his writings, which are “a victory for human ideals and freedom of thought”. Among these writings are the Foundations of Geometry (1897), A Critical Review of Leibniz’s Philosophy (1900), The Foundations of Mathematics — the monumental work he wrote with Whitehead between 1910 and 1913, and Introduction to Mathematical Philosophy (1919). All these books dealt with logic, along with his many other writings in many other fields. Bertrand Russell undoubtedly won the Nobel Prize for his mathematical work.

In 1985 another mathematician met with the King of Sweden. Herbert A. Hauptman , a mathematician who worked at the Institute for Medical Research in Buffalo, New York, shared the Nobel Prize with his fellow chemist Jerome Karl. Hauptman developed an algorithm that combined geometric and probabilistic methods to determine the molecular structure of materials using x-rays. This method, when applied in the 1980s by a computer, shortened the amount of time needed to determine the molecular structure of simple biological molecules from two years to two days, making it possible to determine the three-dimensional molecular structure of vitamins, hormones and antibiotic materials easily, to be used in the development of new drugs.

In 1998 another mathematician won the Nobel Prize in Chemistry: John A. Pople . He won the Nobel Prize for the development of new computational methods in the field of quantum chemistry. Pople sought and found methods for solving Schrodinger equations, the fundamental equations of quantum theory. These equations were previously considered insoluble, except for a few simple special cases. The software he developed for the implementation of his methods bears the name “Gaussian”, and is now used as the basic work tool of any chemist.