The practical value of Fermat's Last Theorem resides in the manner it attracts the attention of many thinking people, not just mathematicians.
The practical value of Wile's proof is in the manner it demonstrates how mathematicians still cannot simply explain why this theorem is true. The best kinds of proof also show the why of something and not merely the truth of it.
By his conjectures Fermat attempted to demonstrate the power that resides within reasoning in terms of integers only. He understood mathematical philosophy better than most if not all of contemporary mathematicians and yet he went back to integer logic. Mathematicians were reluctant to put integer logic up on the pedestal that Fermat did. Wile's proof will eventually become a chain around mathematician's necks that they'll never remove.
There is no proof that FLT cannot be solved in so-called ëlementary" terms and hence his last theorem lives on and continues to challenge mankind. The fact that mathematicians don't talk about these things is testimony to theiir desire to pretend to themselves and the world that they alone should consider such things as FLT. We still live in the dark ages and mathematicians are better than most at attempting to keep us there.
Solving Fermats theorem.
Fermat's last theorem states that the equation xn + yn = zn has no integer solutions for x, y and z when the integer n is greater than 2. When n=2, we obtain the Pythagoras theorem.
Andrew Wiles solved/proved Fermats Last Theorem. The theorem states Xn + Yn = Zn , where n represents 3, 4, 5,......... there is no solution.
Fermat's Last Theorem is sometimes called Fermat's conjecture. It states that no three positive integers can satisfy the equation a*n + b*n = c*n, for any integer n greater than two.
Although the Pythagorean theorem (sums of square of a right angled triangle) is called a theorem it has many mathematical proofs (including the recent proof of Fermats last theorem which tangentially also prooves Pythagorean theorem). In fact Pythagorean theorem is an 'axiom', a kind of 'super law'. It doesn't matter if anyone does oppose it, it is one of the few fundamental truths of the universe.
PoNka
hagard
the Pythagorean theorem helps find the value of the longest side in a right triangle if you know the value of the base and the height.
I suggest: - Take the derivative of the function - Find its initial value, which could be done with the initial value theorem That value is the slope of the original function.
But it was. That is why we know about it. If you mean why the PROOF was not written- Fermat wrote that he had found a wonderful proof for the theorem, but unfortunately the margin was too small to contain it. This is why the theorem became so famous- being understandable by even a schoolchild, but at the same time so hard to prove that even the best mathematicians had to surrender, with a simple proof seemingly being existent that just nobody except Fermat could find. The theorem has since been proven but the proof uses math tools that are very advanced and were not available in Fermat's life-time.
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