Thursday, January 16, 2014

The Advancement of the Past Shaping the Future

The Advancement of the Past Shaping the Future
A movie review on BBC The Story of Maths: The Frontiers of Space

            The journey does not stop in the Middle East. In the third installment of the BBC Story of Maths, Marcus du Sautoy explores Europe in its 17th century society where the application of the basics began and was put together to form new mathematical ideas that led to the world of numbers and logic we know and use today.

            A number of great people continuously come up with new ideas for the development of Math. Perspectives are graphical representation of images on a flat surface as if it is actually seen by the eye. This was introduced by Pierro della Francesca in his Flagellation of Christ. Perspectives, since it is a graphical representation, make use of drawings and shapes or what we call Geometry. Then, how should we know the characteristic of shapes without knowing some vital properties such as their size? This is where Algebra comes in the picture. Geometry and Algebra can be linked this way but shapes are usually composed of straight lines to be able to cut corners and provide angles. What if they are curved? An outstanding mathematician and physicist, Rene Descartes, dawned on the realization that it is possible for curve lines to be equations thus, bridging the gap between Geometry and Algebra. Throughout the years, more and more theorems have been developed and are put to use today. One example is how one of Pierre Fermat’s theorem help protect credit card transactions in the internet. Another person we know so well with the concept of gravity is Isaac Newton. Not many know about his development of Calculus which is now used by engineers to understand the motion of objects better. Leibniz developed a less complicated version of Newton’s Calculus which, unfortunately, led him to be accused of plagiarism. It probably is the lowest point in Leibniz’s life. The documentary also explores other great mathematicians such as Leonard Euler, who is considered the father of topology and Carl Friedrich Gauss, who made impact on the understanding of the distribution of prime numbers as well as developing modular arithmetic. Gauss’ breakthrough in prime numbers provided the foundation for Bernhard Riemann’s own theories on prime numbers. He focused on objects which he saw in different properties and facets existing in space.

            The journey to know more of the development of mathematical concepts continues. I truly appreciated the art and the chance to have a glimpse in the lives of the great people who shaped up the world of logic. We live in a world where buildings seem to have the right proportions, where structures are expertly designed and teachings seem to be logical but, after this episode, it left me wondering if there still exists a major unknown around us, if there’s some philosophical thinker out there devising new ideas, or if it’s even considerably possible to make changes in the status quo of the mathematical world.


            There may be times when ideas are presented complicatedly. Understanding or digesting concepts may take time. Sometimes, we are not fit to understand it by ourselves. We may not be as intellectually talented as the great people mentioned above but we can certainly make changes and achievements in our own ways and in fields we dream to excel at. Just like them, investing time and committing with fervor is probably the best basic equation to reach and discover the frontiers of space.

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