Abstract algebra

I am investigating the link between children’s tangible representations and abstract algebra to determine how they influence one another. One of the most actively developing and technically difficult areas of, for instance conceptualization and computation, the number-naming systems of East Asian languages such as Chinese follow the…

and French to young women but something else was waiting for her during her path. It was to fell in love with Math and to become a mathematician and her dream of teaching. Amalie Emmy Noether is a female mathematician, who was known for her abstract algebra and theoretical physics. She was born on March 23, 1882, in Erlangen, Bavaria, Germany. She died at the age of 53 in Bryn Mawr, Pennsylvania on April 14, 1935. She has three siblings but everyone expects one died in their childhood. Her…

to teach particular content areas, resulting in strong positive improvements in their classroom. Next, is the second focal point, context, which emphasizes content knowledge with active learning, coherency, observation, and reflection rather than abstract discussion (Darling-Hammond & Richardson, 2009). It should not be forgotten that the professional development should be an articulate part of a school reform effort integrated with school improvement, not an approach in isolation…

Thoughts of a Problem Solver Mathematics, to me, is not just a tool, nor is it only a language for reading our universe. To me, mathematics is an art: the art of logic; and like any other form of art, it is beautiful. This is because the mathematical universe is perfect: here every piece of argument, every theorem is a constellation of reasoning all built upon the strict axioms of the mathematical universe. The proper way of exploring this beauty is problem solving. By problem solving, I do not…

Ada Byron, Countess of Lovelace Ada Byron, born Augustus Ada Byron in London, England in 1815. Her parents were Anne Isabella Milbanke and the famous Lord Byron. Ada father left Britain leaving her mother and her alone when Ada was just one month old. Ada never saw her father again and she never got to know him. Fearing that Ada would become like her father whose personality was a bit unstable; Anne saw that Ada received the best education using her aristocratic advantages to see that she…

discoveries of the invarient theory and the axiomatization of geometry. One of the many known ideas that he helped formulate was the cornerstomne of the the amazing functional analysis. Hilbert made great contributions to the mathematic fields in Algebra, Geometry, and Calculus. Hilbert also published these mathematical problems called Hilberts Problems. These were decade defining as they were unsolved mathematical problems. Hilbert was also known as the main father of the infamous proof theory…

I read your article These Degrees May Have Gone Cold in Sunday's Trib and, while I have never responded to a contributor before, I feel compelled to now. As a recent graduate of Seton Hill University's history program, I find your article to be unfounded, malevolent, and utterly useless. I have worked in technical recruiting and outside sales since graduating. The two years since I have graduated have been the hardest of my life. Finding a good job with a reputable company is indeed hard…

cognitive development described by Piaget is the formal operational stage (12+ years) within this stage children no longer rely on concrete objects and can think hypothetically. This transition allows significant progression in maths to take place as abstract symbols are fully understood and children can reach a hypothesis so can later relate maths to real-life situations instead of needing concrete…

When people see kids as disabled or below the average child they are automatically labeled and put off to the side because they do not have the same abilities as everyone else. In her essay “Cognitive Outlaws”, Joann Ellison Rodgers claims that children with dyslexia or other learning disabilities are not handicap and that is not how they should be defined by their mental disability but by how they perform in the classroom. She claims that the brightest minds in the world have all had some sort…

Abstract— The P vs NP problem is still one of the greatest unsolved problem in Mathematics and computer Science. This survey paper is intended to explain what P vs NP problem is and what are the advances that have been made to solve this problem and How closer are we to solve this problem and what is its status i.e. Is P = NP? Keywords— Polynomial, Non - Determinsitic, P, NP, NPC Reductions, Reducibility, Reductions, certificate, complexity I. INTRODUCTION What is P vs NP? Why it is important to…