Fermat's Last Theorem Essay

I selected Pedro Nunes for my famous mathematician project, I chose this mathematician because i wanted to find out what a mathematician was. Also when i saw his picture he looked interesting and i wanted to learn more about him. His lifespan was 76 years he died in August 11, 1578. His birthplace was in Alcacer do sal, Portugal.

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

‘I think prime numbers are like life. They are very logical but you can never work out the rules, even if you spent all your time thinking about them.’

Blaise Pascal was a brilliant mathematician and experimenter, and he was the voice that still protested against the new science and the materialism of Descartes. His investigations of probability in games of chance produce his very own theorem, and his research in conic sections helped lay the foundations for integral calculus.

Mathematics is a logical and precise subject. Without precision in math everything is imprecise. A modest inaccuracy can produce a catastrophe. For example, if a doctor fails to calculate the correct amount of medicine to give a patient, it could result in a serious complication, such as death. A further example is the logic and precision it takes to construct a building. If there is one minor miscalculation the whole building could collapse, causing mass destruction.

We use mathematics to our great advantage to explain many things. Although Pythagoras, applied A^2+B^2=C^2, he did not create the substance of the equation, this theorem is timeless, he only brought it to our attention.

The initial subject of this reading, beginning in chapter seven, is the number theory. I had never before considered that something as (seemingly) simple as whole numbers needed something like a proof in order to be valid. Luckily, mathematicians like Fermat, Euler, and Gauss all provided critical boosts needed to begin diving deeper into the other branches of mathematics. Next, primes are discussed. Just like the number theory,

We want the user to enter a digit on condition that the integer is greater than 0. By entering that digit the program will process it and try to find the Pythagorean triples possible to that integer, also every such Pythagorean triple, and the largest Pythagorean triple associated with the integer.

Marie Sophie Germain was born in Rue Saint-Denis, Paris, France, on April 1, 1776, in a wealthy Persian family. Ambroise-Francois, her father, was a rich man who was assumed to be a wealthy silk merchant, or a goldsmith. Ambroise was elected as the representative of the bourgeoisie to Etats-Généraux en 1789, which had involved his daughter to witness many discussions with her father and his peers. When she was 13, The French Revolution broke out. Enforcing her to remain indoors,as she turned to her father’s library to take away her boredom where she became interested in mathematics. Pouring her time into each book as she had taught herself Latin and Greek, allowing her to read other famous mathematicians work such as Isaac Newton.

The class first wrote the Pythagorean Theorem, which is a2 +b2=c2, to find the hypotenuses of the triangles. The legs of the triangles were represented by a and b and the hypotenuse was represented by c. After writing the equation,

to have people accept his hypothesis, as a fact is one of the major problems

The proof of the equation was left to the ages, as the greatest mathematicians of their times tried and failed to solve it, and like a fancy wine in a cellar, it soon became the

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