Math problems have been a very significant part of the development of civilization. From ancient abacus to modern computing, mathematics has come a long way and has advanced to all spheres of life including philosophy, science and engineering. As a result, the history and origin of math problems has become an important study to understand its modern day application. Some of the notable math problems in the history include the following.
The Value of Pi
Various mathematicians and scientists have attempted to discover the value of the ratio for the circumference of a circle to its diameter.
The Bridges of Konigsberg
The famous river running through the city of Konigsberg in Germany inspired the Swiss mathematician named Leonhard Euler to come up with a graph theory. This graph theory eventually led to the development of foundations of topology.
Despite the fact that mathematicians have been studying numbers in depth for thousands of years, the field is still not even close to being outdated. To fully understand the number system, the properties of prime numbers have to be figured out which is one of the most challenging math problems.
In the seventeenth century, French mathematicians Fermat and Pascal got inspired by a gambling problem and came up with the theory of probability.
A number of paradoxes throughout the history have challenged the idea that math is a self-consistent classification of knowledge. Two of the famous paradoxes of all times are Cantor’s Infinities and Zeno’s Paradox.
Unsolved math problems
In addition to these historic math problems, there have been many math problems that are unsolved to this day.
Some prominent unsolved math problems, which still seem mysterious include:
- The twin prime conjecture, which postulates that there are infinite number of twin primes.
- The Hadamard matrix conjecture, which suggests that there exists a type of square (-1,1) matrix for every positive multiple of 4.
- Determining a formula for the probability that any 2 elements selected at random, generate the symmetric group Sn.
- Determining whether NP-problems are in fact P-problems.
- Coming up with a proof of which numbers can be signified as a sum of three of four cubic numbers.