Preview

Fermat's Last Theorem

Good Essays
Open Document
Open Document
939 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Fermat's Last Theorem
Fermat's last theorem
Currently holding the world record for longest standing math problem ever, Fermat’s last theorem went unsolved for 365 years. Fermat's last theorem was one of the largest white whales in the study of math. Over the centuries, thousands were puzzled by the impossible problem. From its conception to its solution, Fermat's last theorem was one of the most difficult to solve yet easy to understand problems in mathematics. First, I will discuss the theorem and how it was introduced to the mathematics community. Second, I will discuss some of the influences Fermat's last theorem has had over its lengthy history. Third, I will discuss how solution finally came about.

Fermat was a seventeenth century judge who spent his spare
…show more content…
Many of them have interesting stories, but one was particularly memorable. Over a century after Fermat a mathematician named Paul Wolfskehl was on the verge of suicide. Wolfskehl had set his death for precisely midnight at which time he would shoot himself through the head. He decided to pass the last few hours reading about the latest on developments in Fermat's theorem. As he read Wolfskehl began to get an idea for a solution to the theorem. He began to explore this new approach to the solution. By the time he realized this new avenue was a dead end the appointed time of Wolfskehl's demise had long passed. Wolfskehl went on to continue study in mathematics, saying that Fermat's theorem reminded him of the beauty in number theory. Wolfskehl went on to change his will saying that whoever solved the problem 100,000 the equivalent of two million in today's currency. After his death the Wolfskehl prize was announced. In the first year of the prize 621 proofs were sent in to be evaluated and all of them were flawed. Mathematical historian Howard Eves once said, "Fermat's Last Theorem has the peculiar distinction of being the mathematical problem for which the greatest number of incorrect proofs have been published." (Howard Eves) While those proofs were wrong a correct proof was just over the …show more content…
Secondly, I discussed the influence of the theorem over the ages. Finally, I discussed how this theorem was finally solved by a person inspired by the theorem to enter mathematics. Fermat's last theorem was one of the most difficult yet easy to understand problems in mathematics. When most people think of math they think about numbers and difficult classes in school, but to those who understand the nature of math there is so much more to it than what the surface shows, like a simple theorem that couldn't be solved for hundreds of

You May Also Find These Documents Helpful

  • Satisfactory Essays

    Mat 126 Week 2 Assignment

    • 413 Words
    • 2 Pages

    References: Bluman, A. G. (2011). Mathematics in our world (1st ed. Ashford University Custom). United States: McGraw-Hill.…

    • 413 Words
    • 2 Pages
    Satisfactory Essays
  • Best Essays

    Mishna, M. (1997) Women in Math: Mary Fairfax Somerville, [Online] Available from: http://www.mathnews.uwaterloo.ca/BestOf/WomenInMath7105.html [Accessed 12th March 2008].…

    • 1899 Words
    • 8 Pages
    Best Essays
  • Best Essays

    After finishing the experiment I started noticing more patterns relating to the Fibonacci sequence. For example, in a tree you start counting by the tree trunk; if you start going up there are two branches with three leaves, then five, them eight until there is no more to count you go to the next branch and do the same thing until you reach the top of the tree. I think math can be found practically everywhere you look if you can find the right sequence. When you are looking for patterns there is at least one for anything. Math can be very important and people can start caring more about it if they know it is all around them.…

    • 1894 Words
    • 8 Pages
    Best Essays
  • Good Essays

    References: Bluman, A. G. (2005). Mathematics in our world (1st ed. Ashford University Custom). United States: McGraw-Hill.…

    • 681 Words
    • 3 Pages
    Good Essays
  • Good Essays

    (ln ln x), invented the totient function and used it to generalize Fermat's Little Theorem, found both the largest then-known prime and the largest then-known perfect number, proved e to be irrational, proved that all even perfect numbers must have the Mersenne number form that Euclid had discovered 2000 years earlier, and much more. Euler was also first to prove several interesting theorems of geometry, including facts about the 9-point Feuerbach circle; relationships among a triangle's altitudes, medians, and circumscribing and inscribing circles; and an expression for a tetrahedron's area in terms of its sides. Euler was first to explore topology, proving theorems about the Euler characteristic, and the famous Euler's Polyhedral Theorem, F+V = E+2 (although it may have been discovered by Déscartes and first proved rigorously by Jordan). Although noted as the first great "pure mathematician," Euler engineered a system of pumps, wrote on philosophy, and made important contributions to music theory, acoustics, optics, celestial motions and mechanics. He extended Newton's Laws of Motion to rotating rigid bodies; and developed the Euler-Bernoulli beam equation. On a lighter note, Euler constructed a particularly "magical" magic…

    • 703 Words
    • 3 Pages
    Good Essays
  • Satisfactory Essays

    Leonhard Euler

    • 444 Words
    • 2 Pages

    Euler’s number e is also a very important irrational, fundamental constant in mathematics. This contribution has aided in understanding the continuous growth of compound interest.…

    • 444 Words
    • 2 Pages
    Satisfactory Essays
  • Better Essays

    In this time, “Europe was in deep slumber” (crest of the peacock). The transference of this knowledge to European colonies resulted in the production of some of the most influential mathematical knowledge. From a political point of view, mathematical knowledge can be considered as power. The mathematisation of modern life and society has been growing exponentially, so much so that the majority of human movements are conceptualised and controlled numerically. A strong education system has become the key to the quantified thought processes that are required in modern citizens.…

    • 1864 Words
    • 8 Pages
    Better Essays
  • Better Essays

    The Abacist Research Paper

    • 1595 Words
    • 7 Pages

    The contribution of the abacist to the development of mathematics in Europe was greatly attributed to the development of…

    • 1595 Words
    • 7 Pages
    Better Essays
  • Good Essays

    Martin Gardner Essay

    • 823 Words
    • 4 Pages

    Martin Gardner was the best friend Mathematics ever had. He was responsible for introducing math to the world in a whole new way by turning something intimidating and unapproachable to many into fun and games or—even better—magic. It is said that by doing so “he brought more mathematics to more millions than anyone else.”* (Richard K. Guy)…

    • 823 Words
    • 4 Pages
    Good Essays
  • Good Essays

    Andrew John Wiles

    • 779 Words
    • 4 Pages

    Fermat’s Last Theorem states that no three positive integers a, b, and c can satisfy the equation an + bn = cn for any integer value of n that’s greater than two. Pierre de Fermat speculated this theorem in 1637. Fermat only left the proof of…

    • 779 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    The Ancient Greek culture has had such an impact on the world that no matter…

    • 2195 Words
    • 9 Pages
    Powerful Essays
  • Satisfactory Essays

    Graham's Number

    • 327 Words
    • 2 Pages

    Specific integers known to be far larger than Graham's number have since appeared in many serious mathematical proofs (e.g., in connection with Friedman's various finite forms of…

    • 327 Words
    • 2 Pages
    Satisfactory Essays
  • Powerful Essays

    Beal Conjecture

    • 925 Words
    • 4 Pages

    Mathematicians have long been intrigued by Pierre Fermat's famous assertion that Ax + Bx = Cx is impossible (as stipulated) and the remark written in the margin of his book that he had a demonstration or "proof". This became known as Fermat's Last Theorem (FLT) despite the lack of a proof. Andrew Wiles proved the relationship in 1994, though everyone agrees that Fermat's proof could not possibly have been the proof discovered by Wiles. Number theorists remain divided when speculating over whether or not Fermat actually had a proof, or whether he was mistaken. This mystery remains unanswered though the prevailing wisdom is that Fermat was mistaken. This conclusion is based on the fact that thousands of mathematicians have cumulatively spent many millions of hours over the past 350 years searching unsuccessfully for such a proof.It is easy to see that if Ax + Bx = Cx then either A, B, and C are co-prime or, if not co-prime that any common factor could be divided out of each term until the equation existed with co-prime bases. (Co-prime is synonymous with pairwise relatively prime and means that in a given set of numbers, no two of the numbers share a common factor.)You could then restate FLT by saying that Ax + Bx = Cx is impossible with co-prime bases. (Yes, it is also impossible without co-prime bases, but non co-prime bases can only exist as a consequence of co-prime bases.)…

    • 925 Words
    • 4 Pages
    Powerful Essays
  • Good Essays

    So, what is the Goldbach’s Conjecture? Goldbach’s Conjecture states that “Every number greater than 2 can be written as the sum of two primes”. It is an unsolved problem and when the book “Uncle Petros and the Goldbach’s Conjecture” was released, Tony Faber (British publisher) decided to offer one million dollars for the proof of the conjecture. Proofs were only accepted before April 2002 but none of the proofs were right so of course, the money went nowhere except in Faber’s pocket. Though, a lot of mathematicians got intermediate results from researching and investigating the Goldbach’s Conjecture.…

    • 815 Words
    • 4 Pages
    Good Essays
  • Good Essays

    As an avid pursuer of knowledge and intellectual fulfillment, I seek fresh and meaningful intellectual experiences on a consistent basis. One such experience had originated with a personal connection between my passion for mathematics - my favorite school subject for as long as I can remember - and what I had seen as a hole in the love and dedication shown by others towards mathematics that implored filling. I had wholeheartedly decided to fill the hole myself by creating a math contest for everyone in the area, and led them to enjoy the spectacle of mathematics firsthand. In so doing, I have experienced an intellectual pursuit which, to this day, and likely for the rest of my life, continues, and will continue, to provide not only satisfaction, but also a wondrous sense of accomplishment and gratification.…

    • 641 Words
    • 3 Pages
    Good Essays