Abstract algebra

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…

I am going to argue that the Doctrine of Recollection resolves the Paradox that Meno poses to Socrates. The Meno’s paradox arises when Meno and Socrates are inquiring into what virtue is. It goes as follows, how will one know that they have correctly identified the object of their inquiry if they do not know the object they are inquiring about? On the other hand, if you know what you are inquiring about then you need not inquire, because you already know. Inquiry seems to be an impossibility or…

Face Discrimination in the Shadows of Overwhelming Racism in America Katelyn Zwiener Mrs. Shaina Workman 31 January 2017  Abstract (Please be a little nice on my abstract. I typically write abstracts at the end of my paper, but my abstract has never been a strong suit of mine; so, I wrote this one in the most basic form possible. If you have some help with writing abstracts, that would be so appreciated!) Asians face harsh discrimination in American society without much awareness. In this…

that we see are abstract concepts. Yet those concepts never cease to be consistent. Therefore, many have come to describe math as the “language of the universe.” Over the course of history, mathematicians have come to discover even more abstract concepts, the applications of which are less obvious in the world around us. However, those concepts did not fail to be true before they were discovered, neither did their applications fail to hold. Therefore, mathematics is both abstract and absolutely…

The abacus Abdiel Gutierrez Abstract—This paper will show the importance of the abacist during the Renaissance time in Europe, and the importance of their mathematical advances they did to algebra. Normally they were merchants or people that taught the merchants in the operation of the abacus. They appear in Europe in the beginning of the 1400 century and lasted until the year 1600. Their work was very important for the developing of mathematics because they were the first ones to understand…

Emmy Noether Amalie Noether better known as Emmy was the daughter of Max and Ida Noether. She was born in Erlange, Germany on March 23, 1882. Some say that she was destined to be a mathematical genius, because her father Max Noether was a professor of math at University of Erlangen. Although, Emmy Noether was certified in French and English, and could have taught school girls, she wanted to study mathematics. In 1903, she began to audit math lectures at the University of Gottingen. After…

and creative, and have uses at all grade levels; however they are often used for more complex concepts such as pattern relationships, spatial relationships, and geometric principles. The concrete manipulative is being used to represent much more abstract concepts and the connections may take more…

I met Amanda Gagecroll my first year of middle school. She was my homeroom advisor and I thought very highly of her, she always encouraged us students to do well in school and to be involved in extra curricular activities. She was a very positive person and always thought on the bright side. I decided to interview her college and high school experiences and get to know her on a more personal level. She grew up in a small town called cherry field and attended the same school k-8th grade, then in…

tenth grade honors Math courses. The courses include Pre-Algebra, Algebra I, Geometry, and Algebra II. Honors courses are designed to be academically challenging for students who are typically advanced proficient in their…

It would not have been possible without understanding calculus. Isaac Newton would not have created calculus if it weren’t for Rene Descartes’ understanding of algebra and geometry. This understanding was only possible because of arab world, which salvaged and passed on what mathematical knowledge the ancient greeks once possessed. Everyone drew from the knowledge of others, and from it they cultivated their own…