Emmy Noether Research Paper

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A German Jewish mathematician, known for her contributions to abstract algebra and theoretical physics, Amalie Emmy Noether was described by many other famous mathematic theorists as the most important woman in the history of mathematics. An article on Applied Mathematics gives a brief insight into the importance of her work:
Emmy Noether was one of the most brilliant and important mathematicians of the 20th century. She altered the course of modern physics. Einstein called her a genius. Yet today, almost nobody knows who she is. In 1915, Noether uncovered one of science's most extraordinary ideas, proving that the symmetry found in nature has a corresponding law of conservation. Noether's theorem is a deep insight that underpins much of modern-day
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She attended lectures of leading mathematicians like Hilbert, Blumenthal and Weyl, later returning to the University of Erlangen to pursue her Doctorate degree, graduating with her Ph. D in mathematics in 1907. Noether was granted the second degree to be given to a woman in the field of mathematics. Now that Emmy was certified in the field, she started looking for a teaching job elsewhere since the university had a policy against women professors. She decided to help her father at the Mathematics Institute in Erlangen, doing research there and helping her father teach classes when he was sick. Despite her intellectual achievements and the recognition of mathematicians such as David Hilbert and Hermann Weyl, Emmy Noether endured years of poor treatment by German universities, where for a time she could not even lecture under her own name, and had an unpaid “lecture assistant” position for seven years. From 1908-1915 Noether worked at the Mathematical Institute of Erlangen without pay, while she piloted her research. During her time lecturing, she became interested in the work of the physicist who later was a great admirer of Noether, David Hilbert. She was drawn in by his work’s complexity and the abstract nature of it. Hilbert soon recognized Noether’s genius and saw something special in her; he was in need of help from the best mathematicians for his research, and famously quoted, “Physics is …show more content…
Noether’s work was abstract algebra; from there she related her theories to other physicist’s and mathematician’s works. As Feza Gursey, a Turkish mathematician and physicist wrote, “The key to the relation of symmetry laws to conservation laws is Emmy Noether's celebrated Theorem. ... Before Noether's Theorem the principle of conservation of energy was shrouded in mystery, leading to the obscure physical systems of Mach and Ostwald. Noether's simple and profound mathematical formulation did much to demystify physics.” (library.ucla.edu). Her passion and determination was impossible to overlook, as her fellow colleges eventually saw. Sometimes, even the great, pivotal figures in science don't get their due. Though today she is still not as widely known as other famous physicists and mathematicians such as Albert Einstein, the lack of her work would have greatly disabled the physics laws we know today. Noether recognized that there is a mathematical relationship between symmetries of the natural universe and conservation laws. There are vast amounts of mathematics behind it, Noether's Theorem is essentially: “Every symmetry corresponds to a conservation law”. An article on Applied Mathematics from the University of Colorado says, “. . . likewise, if we do an experiment, and then do the exact same experiment again 20 miles to the east, that shouldn't make any difference — the laws of physics should work the exact same way in both places. This is known

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