Tuesday, January 21, 2014

Journey to the Center of Maths: Flight of the West


         I've never thought that mathematics would actually be useful in making masterpieces of art, but once more a mind-blowing moment of realization shook me back to reality. And reality, as it seems, is teeming with math.

         The mathematics of the East was very impressive even though they were not that well known. But as time went on, so did numerous revolutions of mathematics that sprouted forth in the lands of the West. Our ever so adventurous host, Marcus de Sautoy, flew us to other side of the globe in his quest for the iconic figures of mathematics.
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          Who knew that mathematics would become popular in the least expected hobby-painting? I guess Piero did. Piero della Franschesca was a mathematican, but at the same time he was also a painter. He use the power of perspectives to give his paintings a sense of depth and dimesion which, I never expected would come from the world of mathematics. In short, he was one of the pioneers who tried to tie the knot between algebra and geometry, though in a more artistic way. The one who actually did it in the most logical manner was Descartes, known for the amazing mathematical tool named after him.

          I once heard a story from a friend about how Descartes discovered the Cartesian plane. It goes like this:

          Descartes was in bed and meditating as usual.  Then he saw a lizard up on the ceiling, loitering around. Boredom overtook him and he tried to devise a way of pinpointing the lizard's position or coordinates. He soon discovered that by assigning two number lines positioned in a way that they, one horizontal and one vertical,  would meet at one end at a 90o angle. Then the lines were given with values from zero, on where the lines meet, to infinity. The values of the horizontal, or x, and the vertical, or y, lines would indicate the position of the lizard. And thus the Cartesian plane emerged, more likely out of boredom and curiosity.

        Going through the documentary, I got to know some mathematicians who were hiding behind unlikely faces, like the monk Marin Mersenne or the magistrate Pierre de Fermat. But I was more interested on how people knew about one mathematician who was famous for the apple and his law of gravity-Newton.  Sir Isaac Newton, yes he's knighted, was famous not only for his discoveries in physics, but also for his pioneering venture into calculus. This has been a general fact, but it turned out that the film showed more, when this man had a rival in the mathematics race. And on that time, his darker side was unveiled.

          Gottfried Leibniz. I wasn't familiar with this mathematician but then I got to know that he had independently discovered and published his version of calculus. Let me repeat, INDEPENDENTLY. By the way, he was a fan of Newton. He might have been the president of Newton's fanclub. Who knows? So there he was, walking on the red carpet in the Royal Society and about to receive his award and recognition. But that was just the icing in the cake. Beneath that was an accusation that he did not expect from the very least-plagiarism. Who gave the charge? None other than Newton himself.

          It was like Leibniz was flying with joy in the skies until the ground opened up with heavy flak fire. Down he went, dignity and integrity shredded by shrapnels of criticisms and accusations until they were gone. Even if it is too late, I felt pity for Leibniz. But in the end, it was his work that triumphed over Newton's. To the unsung pioneer of calculus, I salute you. Leibniz's work was not stored in some rusty ol' safe, but was spread throughout Europe. This was done by his "intellectual minions" - the Bernoulli bloodline. They themselves were so good at carrying on Leibniz's work that they had students and followers.  One of them was Leonard Euler, who in turn produced amazing works in mathematics.

          There were more well-renowned figures in mathematics that originated from the Western world, from prodigies to the professional at heart. Though there may be competitions in this intellectual rat race, both sides-the East and the West-have worked in unison, just like the left and right hemispheres of the brain, to accomplish one universal objective - to be the living elements that translate the ways of the universe through mathematics. 

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