Fermat's theorem

Chinenyenwa Amaechi Dahiya AP Calculus 16 October 2015 Every student who has ever asked an older adult for help with their math homework is very familiar with the phrase “This is not the type of math I did growing up”. The mathematics we have today greatly differs from that of earlier generations and time periods due to the dynamic nature of this field of study. Throughout history, many important individuals have contributed to the field of mathematics and have helped develop the theories,…

only by 1 and itself. 5, for example, is a prime number because it is divisible only by 1 and 5. The number 4 can be divided by 1, 4 AND 2. So it is not a prime number. Numbers that are not primes are said to be composite numbers. The fundamental theorem of Arithmetic states that all numbers are either primes or a product of a unique combination of primes. So in a way the prime numbers are the building blocks for all numbers. Hence the name Prime. Prime numbers have various applications, but…

On April 1, 1776 in Paris, France Ambroise-Fancois Germain and Marie-Madeleine Gruguelu welcomed their second daughter, Sophie Germain. Sophie was the second of three daughters for the pair. It is said that her family was very wealthy although her father’s occupation was not certain. Most people believed that Amrboise-Francois Germain was a silk merchant. He was also a political member of bourgeoisie at the Estate General, which exposed her and her sisters to politics at a young age. Sophie was…

1. Henri Lebesgue [8] Lebesgue is credited for many amazing discoveries to different areas of mathematics. In the area of topology, Lebesgue is known for his covering theorem which is used for finding the dimensions of a set. He is also credited for his work on the Fourier series. He was able to demonstrate that using term by term integration of a series that were Lebesgue integrable functions was always valid and therefore…

Angie Gunawardana Mr. Larlham Geometry Project- 6 5 May 2016 Sophie Germain was born in Paris, France on April 1, 1776. Her parents names were Marie- Madeline and Ambroise- Francois, and she was the second of the three daughters, they were a wealthy upper class French family. She began having an interest in mathematics when the Bastille fell and everyone was confined inside their homes, she would go inside her father’s library and read. She fell in love with a story about Archimedes and wanted…

knowledge plays only a small role within the Arts because, like Mathematics, it is a fluid entity that is always changing, yet it is never standardized to one style or one piece. Unlike Mathematics which unifies through its standard formulas and proven theorems, Arts unify through their subjectivity. Because of the subjective nature of Art, I believe that this area of knowledge requires minimal proof being only: receiving a reaction (even if that is no reaction at all) and the possibility of…

This might have been the case too, if it weren’t for a series of coincidences leading to Huygens’s scientific debut. Firstly, he was introduced to Fermat’s Differential Geometry by a friend and mentor, and began to study this in great detail. Secondly, his father much of his influence in politics, so any residual influence Christiaan would have had from his father was lost. Lastly, and most importantly…

Personal Statement Maths is such a broad, diverse subject and studying the four areas of maths has given me a wide range of mathematical skills whilst also being a lot of fun! There is always something more to learn and understand, and it is that which fuels my dedication to the subject. The challenge that math poses motivates me to spend time working on problems and gaining the satisfaction from finding the solution. Algebra is my favourite area of maths for this very reason. Problems such as…

Sophie Germain was born to her parents Ambroise-Francious and Marie Germain on April 1st, 1776. She was born in Paris, France to her wealthy family. Her father was a merchant, but later on become a director of a big bank called simply the Bank of France. She was raised in an era of revolution. When Sophie was born the American Revolution was going on. The American Revolution was uproar between the colonist of the thirteen colonies rejecting British monarchy and aristocracy. When Sophie was…

Justice versus injustice is one of the biggest conflicts in this world as justice lacks one true definition. Socrates goes out to find the meaning of justice, but what he finds is a conflict where the unjust man is not always the loser. The unjust man can be better than the just man and the argument that the fair man is superior does not always hold up against injustice. Justice benefits the mass while injustice aids the individual. Controlling people is easier with justice. It allows…