The Story of maths 4: To Infinity and Beyond

For many people, mathematics is just about solving problems, creating an equation and theories, but there are more than what you can think of, if you look into its deeper nature like what mathematicians did. Discovering such mathematical breakthroughs can easily change world. One of the great mathematicians who became the first person to comprehend the notion of infinity was Georg Cantor; he then created a mathematical meaning to this. His theories include infinity of whole numbers and fractions, and the relationship of each other.

Another great mathematician named Henri Poincare formed different kind of mathematical techniques and spend his whole life creating applications of his mathematics. He sorted these equations to lessen the problem by simplifying and approximations but he made tiny changes that may have a great impact in the result; another mathematical story about puzzle that he come up with but it then solved by a great mathematician named Leonhard Euler, who proved that it was not possible to cross seven bridges only once. He made several solutions when suddenly he jump into a concept that problem about these bridges and realized that it was a new type of geometry and was called problem of topology.

Topology is everywhere because we use it every day and Poincare saw this as a new notion of shape but some refer this as bendy geometry. They threw some question about the possible shapes in a three-dimensional universe and were called Poincare Conjecture. Then it was solved by a Russian mathematician named Grisha Perelman. He solved this using a different range of mathematics that was very difficult to comprehend that even other mathematicians can’t. David Hilbert studied the number theory and brought everything together but he left that and developed the theory of integral equation. Hilbert was still attached to theorems that he created; he was creating a new style of mathematics.

Kurt Godel, an Austrian mathematician, doubts the mathematics of Hilbert. He came up with an impression that would change mathematics; he created the Incompleteness Theorem or a statement that can be converted into a mathematical expression and is answerable by true or false. After them a lot of different mathematician succeed in constructing mathematical theories and most of them were men, but there were also female mathematicians who succeeded in math and established their name by achieving some goals. This would tell us that mathematics is for everyone and does not depend on gender, age and ability of a person to create something that would contribute even bigger in the world of mathematics.

            The concept behind the number system, algebra, geometry and topography has a relationship with each other. Patterns, structure and logic can be obtained in these cores of mathematics that explains how the world works. It was said that Riemann hypothesis is a corner-stone of maths and difficult math would have more application in the real world. Mathematics is about proving a statement and removing the doubt in it. The four movies revealed the beauty and nature of math. Unsolved problems pushed the mathematicians to solve them until they would come up with the right answer. Hilbert’s words “We must know, we will know” encourage the world to do mathematics.