10 October 2013 59 8K Report

I am keeping the term "fascinating" very open-ended. I am doing a survey of who you think are the most fascinating 3 to 5 scientific characters of our history ? Any field, any discipline. Please provide a very brief description of each to explain your reasoning. I will start with mine:

1) Carl Friedrich Gauss: Just incredible contributions to Mathematics, Electronics... As an Electronics Engineer I can't imagine a world where we didn't have Gauss.

2) Leonhard Euler: These two folks invented, possibly half of what I use in Electronics and Math today. No amount of words can describe Euler. Like Laplace said "he is the master of us all ! "

3) Emmy Noether: Living in a time when women weren't allowed to be academics, she wasn't discouraged. She lectured under the name of Hilbert, since having a woman in the faculty sounded bad and they wouldn't let her lecture under a woman's name. She worked for free for 7 years before she was barely given an adjunct position. Despite these prejudices of her time, she managed to be described as "the most influential woman in mathematics history" by her colleagues. Anybody that has this much determination is going in my list. I can't justify replacing Gauss and Euler with anybody, but, she is going on #3 in my list.

4) Srinivasa Ramanujan: Although he was accepted to University of Madras, he flunked, since, he wasn't paying attention to anything other than Mathematics. The continued fractions that he just "came up with" are (and were) startling ! In a letter he wrote to Hardy 100 years ago, he included 200 such formulas. Hardy didn't pay attention first, thinking that, it was SPAM ! until he looked closely and was startled with the depth of the equations. Hardy invited Ramanujan to Oxford, where they put together some of the most celebrated studies in partitions and continued fractions. It took mathematicians 100 years to prove some of the original Ramanujan formulas. Some small number of them were proven wrong , although, they were as illuminating as the correct ones. To this date, some of them are still not proven (wrong or right). Ramanujan wasn't good at explaining the formulas in a strict formal way, since he never had formal education, and nobody knows how he came up with some of them. He never earned a college degree, although, University of Madras gave him an honorary degree based on Hardy's recommendation.

5) Pierre de Fermat: A Lawyer by trait (not even a mathematician), he single handedly started the field of Number Theory. His starting point is what fascinates me about him: A 1500 year old book that he brought to Europe from the ancient Greeks: Diophantus' Arithmetica. And, from that book, a formula he derived : c^n=a^n+b^n is not possible for n >2, when a, b, c are all positive integers. This, "Fermat's Last Theorem" is itself not the amazing thing, but, rather, the fact that, not a single influential mathematician is known that didn't spend time on solving it. And COULDN'T. Gauss, Euler, Lame, the list is too long. It took 400 years to prove the theorem, and during those 400 years, unbelievable things were invented in Mathematics in an attempt to prove it. The list is too long to fit here. I can't stop myself asking the question: "Where would mathematics be today, had Fermat not brought that book into Europe in the 1600's ?"

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