Andrew Wiles And His Works

Pedro Nune's was considered one of the best mathematicians of his time. And is is best known for his contribution to the technical field of navigation. His work varied from pure mathematicians to mechanics to cosmographe to geography and then to

Math is often seen as a difficult subject to consume and fully understand. Many of us have experienced times where we become frustrated with mathematics and make it seem impossible. The wish to understand math were especially impossible to African-Americans in segregated America where not every child was given quality education. Katherine Johnson, an African-American NASA mathematician, experienced the inability to attend advanced math courses due to her race. It came with great effort to be where she is today in society. Her works were hidden and barely spoken about. However, her legacy stands with history.

David Hilbert was a German mathematician whose research and study of geometry, physics, and algebra revolutionized mathematics and went on to introduce the mathematic and scientific community with a series of mathematical equations that have yet to be solved. Furthermore, his study of mathematics laid the groundwork for a variety of ongoing mathematic analyses, which continue to influence the world today.

There are few women that have made an impact on the math society compared with the number of men. A person can ramble off names such as Isaac Newton, Albert Einstein, Pythagoras of Samos, and Jean-François Niceron. Where are the women mathematicians? This paper will examine the lives of women that have made an impact on the world of

When people think about mathematicians, they typically refer to white, doctorate-educated male. However, there are more women budding into the field of mathematics. This paper will focus on one special woman, an African-American woman by the name of Evelyn Boyd Granville. She is not the first African-American woman to receive a doctorate in mathematics, but she, unlike Euphemia Lofton Haynes, stayed more out of the education field and primarily worked for NASA, contributing to many expeditions in space. Her contributions have inspired many young girls to look into and pursue a career in the field of mathematics.

A female African-American mathematician who contributed to mathematics was Janice E. Cook. Her birth and death date is unknown, however, she was born in New Orleans. She is one of seven children of Florence L. Cook and Henry Cook. Growing up, she admired her mother, who was an elementary teacher, describing her as an inspirational and heroic person in her life. After Janice completed her studies for the bachelor and masters degree she began a professional career in the corporate arena, however, she wasn’t satisfied. She later realized her true passion was in teaching mathematics as a teacher at the middle and high school levels. Once she determined her true educational passion in life, she continued her studies and gained her pre-doctoral

Samuel Willenberg, the last survivor of Treblinka, the Nazi death camp where 875,000 people were murdered including his two sisters, has died in Israel at the age of 93. Treblinka is unlike other camps where some Jews were assigned to work before being killed. Nearly all Jews brought to Treblinka were immediately gassed. Usually only young men like Willenberg, who was 20 at the time were spared from immediate death and were told to work instead.

Heroes have been around for centuries. From Joan of Arc who help win France's 100 year war to Oskar Schindler, who saved over 1000 Jews from the Holocaust and countless

William Wilberforce was a very brave man that spoke his mind and tried to abolish slavery. He was alive during a very important time when slavery was very high, and he wanted to get rid of it. He was born on August 24, 1759, in Hull, England, to a rich business man.3 Wilberforce studied at Cambridge University. He later became an evangelical Christian.3

She published philosophical works clarifying facts and generalizing the into laws to form a system of sociology and psychology. Years later, Germain was the first person to provide proof of Fermat’s Last Theorem, that has been a struggle for mathematicians for the past 200 years. “That if xn + yn = zn, then neither x, y, nor z can be a natural number if n is greater than 2, stated from Fermat's Last Theorem" (Barrow-Green). Germain used her proficiency on prime numbers to help to prove this theorem. Successful from her work, she published her deeds in a supplement to her acquaintance Adrien-Marie Legendre's work Théorie des nombres.” (The Remarkable Life of Sophie Germain)

Afraid of him being prejudice against women and ignoring her, she again took up the name M. LeBlanc. She was captivated by Gauss’s work in number theory, and sent him some of the results that she had gotten in her work. He thought that her ideas were brilliant, and he praised her constantly. It was not until 1806 that he found out that his “pen pal” was a woman, but when he did he was thrilled. During this time, Sophie told him what was to be her most important work in number theory. "Germain proved that if x, y, and z are integers and if x^5 + y^5 = z^5 then either x, y, or z must be divisible by 5. Germain's theorem is a major step toward proving Fermat's Last theorem for the case where n equals 5" (Dalmedico 119). This theory, also known as Sophie Germain’s theorem, was to remain the most important result related to Fermat’s Last theorem until

* He helped to distinguish between pure and applied mathematics by widening the gap between "arithmetic", now called number theory and "logistic", now called arithmetic.

4) Srinivasa Aaiyangar Ramanujan is undoubtedly the most celebrated Indian Mathematical genius. He was born at Erode in Tamil Nadu on December 22, 1887. During an illness in England, Hardy visited Ramanujan in the hospital. When Hardy remarked that he had taken taxi number 1729, a singularly unexceptional number, Ramanujan immediately responded that this number was actually quite remarkable: it is the smallest integer that can be represented in two ways by the sum of two cubes: 1729=1³+12³=9³+10³.

Fermat's proof is as follows. Let n be prime, and suppose it is equal to x2 -y2 that is, to (x+y)(x-y). Now, by hypothesis, the only basic, integral factors of n and n and unity, hence x+y=n and x-y=1. Solving these equations we get x=1 /2 (n+1) and y=1 /2(n-1). -He gave a proof of the statement made by Diophantus that the sum of the squares of two numbers cannot be the form of 4n-1. He added a corollary which I take to mean that it is impossible that the product of a square and a prime form 4n-1[even if multiplied by a number that is prime to the latter], can be either a square or the sum of two squares. For example, 44 is a multiple of 11(which is of the form 4 x 3 - 1) by 4, therefore it cannot be expressed as the sum of two squares. He also stated that a number of the form a2 +b2, where a is prime b, cannot be divided by a prime of the form 4n-1. -Every prime of the form 4n+1 is accurate as the sum of two squares. This problem was first solved by Euler, who showed that a number of the form 2(4n+1) can be always showen as the sum of two squares, of course it was Mr. Pierre de Fermat. -If a, b, c, are integers, a2 + b2= c2, then ab cannot be a square. Lagrange solved this. - The determination of a number x such that x2n+1 may be squared, where n is a given integer which is not squared. Lagrange gave a solution of this also. -There is only one integral solution of the equation x2 +4=y3. The required

Mathematics has always been described as the purest science and considered as one of the most important aspects in many countries around the world, especially developed countries. Theoretically, the most significant requirements for a life of a mathematician is the mathematical ability. Nevertheless, very few women get involve in this field, which creates a myth, and slowly develops into a stereotype in society, that women are naturally not good at math. However, many people would be surprised, that “the world’s greatest living mathematician for a time was a women” (Deakin 13). Hypatia of Alexandria was, indeed, a physically beautiful woman who used her talent and intelligence to defy the stereotypes against