Fermat's last theorem

krassi_holmz · 2005-12-17 21:05:58

Can anyone give me site with Fermat's last theorem proof by A. Whiles?

MathsIsFun · 2005-12-17 21:53:27

Hmm .. that might take awiles ...

Start here on Wikipedia. External Links may help.

krassi_holmz · 2005-12-17 22:47:52

I'm opening it...

siva.eas · 2005-12-31 08:15:20

I think this link would help http://www.mbay.net/~cgd/flt/flt08.htm

krassi_holmz · 2005-12-31 11:30:36

Thank you Siva, but it's not the full proof.

siva.eas · 2005-12-31 12:30:44

From http://cgd.best.vwh.net/home/flt/flt01.htm it seem that this site has the proof http://www.math.princeton.edu/~annals/i … 141_3.html but it seems that you can only get access to the article through certain universities.

John E. Franklin · 2005-12-31 18:13:19

Maybe this will help some. It's way over my head.
http://cgd.best.vwh.net/home/flt/flt08.htm
or same linky

MathsIsFun · 2005-12-31 19:27:56

Not my area either ... I think you would need a special interest in the subject to understand it. But interesting to read about, nonetheless

krassi_holmz · 2005-12-31 23:00:30

Thank you very much.

krassi_holmz · 2005-12-31 23:06:27

I have a great idea:
Do you want to understand it?
I'm offering to discute the proof from the begining to the end. We'll post what we don't understand.

Are you in?

krassi_holmz · 2005-12-31 23:07:38

1. What is an eliptic curve?

krassi_holmz · 2005-12-31 23:10:36

I'm starting exploring internet...

krassi_holmz · 2005-12-31 23:18:09

2. What is cartesian plane?

Last edited by krassi_holmz (2005-12-31 23:18:33)

krassi_holmz · 2005-12-31 23:23:40

2 (answer). As i understood it is just Euclidean plane. Is that right?

krassi_holmz · 2005-12-31 23:41:58

3. What is Riemann surface?

krassi_holmz · 2006-01-01 00:12:52

3.(answer): I think I understood what is this.
But how to explain it?
A Riemann surface is a surface-like configuration that covers the complex plane with "sheets.". When we have a functin over the complex plaine C, which is not "single valued":
∃ z1,z2 ∈ C: (z1)=(z2)=y.
What will we get for the inverse function of (z)?

Here's "logical" answer:
-¹(z) =={1-¹(z) OR 2-¹(z)}.
In the general case -¹(z) may be union of k "single valued" functions.
The riemann surface of -¹(z) is the union of the graphs of these functions.

We can use Euclidean plane, too.

Last edited by krassi_holmz (2006-01-01 00:23:37)

krassi_holmz · 2006-01-01 00:25:44

Here's a simple example:
we use the function f(x)=x^2.(picture 1)
f-¹(y) = {sqrt(y) (picture 2) OR -sqrt(y) (picture 3)}
Then the Riemann surface of the function f-¹(y) is the union of the plots(picture 4)

Last edited by krassi_holmz (2006-01-01 10:19:25)

krassi_holmz · 2006-01-01 00:50:00

I think the following site is the best:
I'm following the proof that siva(thank you) gave me.
There you can download the full solution. Or you can do this by clicking:
here for zipped .pdf file
here for PostScript
and here for .dvi
(I've tested only the .pdf format)

MathsIsFun · 2006-01-01 09:04:38

Your graphs are a great introduction to Riemann Surfaces, krassi!

krassi_holmz · 2006-01-01 12:50:26

4. Weierstrass p function?

krassi_holmz · 2006-01-01 13:03:41

5. What is pole?

krassi_holmz · 2006-01-01 13:08:33

6. Singularity

krassi_holmz · 2006-01-01 13:10:05

Please help me if you know some of these.

krassi_holmz · 2006-01-01 13:17:25

7. Domain:
A set of values for which f is defined.
For example the function f=n!, defined over Natural numbers (N) has domain N. It also can be said "function f over N "

krassi_holmz · 2006-01-01 13:21:22

8. A function is analitic if is differentiable???

Math Is Fun Forum

#1 2005-12-17 21:05:58

Fermat's last theorem

#2 2005-12-17 21:53:27

Re: Fermat's last theorem

#3 2005-12-17 22:47:52

Re: Fermat's last theorem

#4 2005-12-31 08:15:20

Re: Fermat's last theorem

#5 2005-12-31 11:30:36

Re: Fermat's last theorem

#6 2005-12-31 12:30:44

Re: Fermat's last theorem

#7 2005-12-31 18:13:19

Re: Fermat's last theorem

#8 2005-12-31 19:27:56

Re: Fermat's last theorem

#9 2005-12-31 23:00:30

Re: Fermat's last theorem

#10 2005-12-31 23:06:27

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#11 2005-12-31 23:07:38

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#12 2005-12-31 23:10:36

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#13 2005-12-31 23:18:09

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#14 2005-12-31 23:23:40

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#15 2005-12-31 23:41:58

Re: Fermat's last theorem

#16 2006-01-01 00:12:52

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#17 2006-01-01 00:25:44

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#18 2006-01-01 00:50:00

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#19 2006-01-01 09:04:38

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#24 2006-01-01 13:17:25

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