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## #1 2005-12-18 20:05:58

krassi_holmz
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### Fermat's last theorem

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

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## #2 2005-12-18 20:53:27

MathsIsFun
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### Re: Fermat's last theorem

Hmm .. that might take awiles ...

Start here on Wikipedia. External Links may help.

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## #3 2005-12-18 21:47:52

krassi_holmz
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### Re: Fermat's last theorem

I'm opening it...

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## #4 2006-01-01 07:15:20

siva.eas
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### Re: Fermat's last theorem

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

## #5 2006-01-01 10:30:36

krassi_holmz
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### Re: Fermat's last theorem

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

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## #6 2006-01-01 11:30:44

siva.eas
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### Re: Fermat's last theorem

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.

## #7 2006-01-01 17:13:19

John E. Franklin
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### Re: Fermat's last theorem

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

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## #8 2006-01-01 18:27:56

MathsIsFun
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### Re: Fermat's last theorem

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

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

## #9 2006-01-01 22:00:30

krassi_holmz
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### Re: Fermat's last theorem

Thank you very much.

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## #10 2006-01-01 22:06:27

krassi_holmz
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### Re: Fermat's last theorem

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?

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## #11 2006-01-01 22:07:38

krassi_holmz
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### Re: Fermat's last theorem

1. What is an eliptic curve?

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## #12 2006-01-01 22:10:36

krassi_holmz
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### Re: Fermat's last theorem

I'm starting exploring internet...

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## #13 2006-01-01 22:18:09

krassi_holmz
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### Re: Fermat's last theorem

2. What is cartesian plane?

Last edited by krassi_holmz (2006-01-01 22:18:33)

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## #14 2006-01-01 22:23:40

krassi_holmz
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### Re: Fermat's last theorem

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

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## #15 2006-01-01 22:41:58

krassi_holmz
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### Re: Fermat's last theorem

3. What is Riemann surface?

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## #16 2006-01-01 23:12:52

krassi_holmz
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### Re: Fermat's last theorem

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: ƒ(z1)=ƒ(z2)=y.
What will we get for the inverse function of ƒ(z)?

Here's "logical" answer:
ƒ-¹(z) =={ƒ1-¹(z) OR ƒ2-¹(z)}.
In the general case ƒ-¹(z) may be union of k "single valued" functions.
The riemann surface of ƒ-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 23:23:37)

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## #17 2006-01-01 23:25:44

krassi_holmz
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### Re: Fermat's last theorem

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)

Uploaded Images

Last edited by krassi_holmz (2006-01-02 09:19:25)

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## #18 2006-01-01 23:50:00

krassi_holmz
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### Re: Fermat's last theorem

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)

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## #19 2006-01-02 08:04:38

MathsIsFun
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### Re: Fermat's last theorem

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

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

## #20 2006-01-02 11:50:26

krassi_holmz
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### Re: Fermat's last theorem

4. Weierstrass p function?

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## #21 2006-01-02 12:03:41

krassi_holmz
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### Re: Fermat's last theorem

5. What is pole?

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## #22 2006-01-02 12:08:33

krassi_holmz
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### Re: Fermat's last theorem

6. Singularity

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## #23 2006-01-02 12:10:05

krassi_holmz
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### Re: Fermat's last theorem

Please help me if you know some of these.

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## #24 2006-01-02 12:17:25

krassi_holmz
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### Re: Fermat's last theorem

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 "

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## #25 2006-01-02 12:21:22

krassi_holmz
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### Re: Fermat's last theorem

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

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