What was Fermi's last theorem?

Question

Along with the proof.....

Answer 1

You mean Fermat's Last Theorem?

Fermat's Last Theorem is one of the most famous theorems in the history of mathematics. It states that:

It is impossible to separate any power higher than the second into two like powers,

or, using more formal mathematical notation:

If an integer n is greater than 2, then a^n + b^n = c^n has no solutions in non-zero integers a, b, and c.

Despite how closely the problem is related to the Pythagorean theorem, which has infinite solutions and hundreds of proofs, Fermat's subtle variation is much more difficult to prove. Still, the problem itself is easily understood even by schoolchildren, making it all the more frustrating and generating perhaps more incorrect proofs than any other problem in the history of mathematics.

The 17th-century mathematician Pierre de Fermat wrote in 1637 in his copy of Claude-Gaspar Bachet's translation of the famous Arithmetica of Diophantus: "I have a truly marvelous proof of this proposition which this margin is too narrow to contain." (Original Latin: "Cuius rei demonstrationem mirabilem sane detexi. Hanc marginis exiguitas non caperet.") However, no correct proof was found for 357 years, until it was finally proven using very deep methods by Andrew Wiles in 1995 (after a failed attempt a year before).

All the other theorems proposed by Fermat were proven, either in his own proofs or by other mathematicians, in the two centuries following their proposition. The theorem was not the last that Fermat conjectured, but the last to be proven.

Andrew Wiles, who had been fascinated by Fermat's Last Theorem since age ten and had experience with elliptic curves, immediately set out to prove Taniyama-Shimura, and therefore Fermat's Last theorem. Yet he did so in almost complete secrecy, working for a full seven years with minimal outside help, contrary to how most mathematics is done today. In 1993, Wiles announced his proof over the course of three lectures delivered at Isaac Newton Institute for Mathematical Sciences on June 21, 22, and 23 in 1993. He amazed his audience with the number of ideas and constructions used in his proof . Wiles had reviewed the proof with a Princeton colleague, Nick Katz, beforehand. Still, the proof turned out to contain a flaw, namely, an error in a critical portion of the paper which bounded the order of a particular group. After seven years of work, the proof was invalid. Wiles and his former student Richard Taylor spent about a year trying to revive the proof, under close scrutiny by the media and mathematical community. In September 1994, they were able to resurrect the proof with some different, discarded techniques that Wiles had used in his earlier attempts.

Andrew Wiles found that he could count associated Galois representations. In the process he developed ideas from Barry Mazur on deformations of Galois representations. The proof uses the standard constructions of modern algebraic geometry, which involve the category of schemes. These constructions use axioms that go beyond Zermelo-Frankel set theory (ZFC), and it has not been verified that Wiles' proof can be carried out in ZFC, although at least one expert has claimed that it can be.

Answer 2

Fermi or Fermat?
for Fermi search here:http://en.wikipedia.org/wiki/Enrico_Fermi#Biography

Fermat's Last Theorem is one of the most famous theorems in the history of mathematics. It states that:

It is impossible to separate any power higher than the second into two like powers,
or, using more formal mathematical notation:

If an integer n is greater than 2, then an + bn = cn has no solutions in non-zero integers a, b, and c.
Despite how closely the problem is related to the Pythagorean theorem, which has infinite solutions and hundreds of proofs, Fermat's subtle variation is much more difficult to prove. Still, the problem itself is easily understood even by schoolchildren, making it all the more frustrating and generating perhaps more incorrect proofs than any other problem in the history of mathematics.

The 17th-century mathematician Pierre de Fermat wrote in 1637 in his copy of Claude-Gaspar Bachet's translation of the famous Arithmetica of Diophantus: "I have a truly marvelous proof of this proposition which this margin is too narrow to contain." (Original Latin: "Cuius rei demonstrationem mirabilem sane detexi. Hanc marginis exiguitas non caperet.") However, no correct proof was found for 357 years, until it was finally proven using very deep methods by Andrew Wiles in 1995 (after a failed attempt a year before).

All the other theorems proposed by Fermat were proven, either in his own proofs or by other mathematicians, in the two centuries following their proposition. The theorem was not the last that Fermat conjectured, but the last to be proven.

click here:http://en.wikipedia.org/wiki/Fermat%27s_Last_Theorem

Answer 3

information of Fermat's very last Theorem applies understanding of elliptic curves, it really is an undergraduate - graduate aspect topic studied in decision idea. once you're taking Calculus BC in severe college, you'll need 4 months the least (assuming you're a genius) to study all it really is necessary for studying elliptic curves. Then recreating the proving adventure will take you centuries with none help, yet with the present internet seek for, you may scratch the information up in perhaps some weeks after.

Answer 4

Fermi's last theorem? Who knows? Enrico Fermi was a 20th century nuclear physicist.

Fermat's last theorem is the famous challenge. Pierre Fermat (1601-1665) was a French lawyer and government official most remembered for his work in number theory.

Answer 5

Hmm. "Along with the proof". Demanding. Fermi was able to prove with his last theorem that mathemeticians get less tail than an Indian phone sales rep.

Answer 6

He decided to change his last name from "Fermi" to Feryou".
Check his web-site if you don't believe me!

Answer 7

yes thats correct

Answer 8

http://en.wikipedia.org/wiki/Fermat's_Last_Theorem