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

krassi_holmz
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Registered: 2005-12-02
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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 2005-12-17 21:53:27

MathsIsFun
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Re: Fermat's last theorem

Hmm .. that might take awiles ... smile

Start here on Wikipedia. External Links may help.


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

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

krassi_holmz
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Re: Fermat's last theorem

I'm opening it...


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

siva.eas
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Registered: 2005-09-17
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Re: Fermat's last theorem

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

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

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 2005-12-31 12:30:44

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.

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

John E. Franklin
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Registered: 2005-08-29
Posts: 3,562

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


igloo myrtilles fourmis

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

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

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

krassi_holmz
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Re: Fermat's last theorem

Thank you very much.


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

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 2005-12-31 23:07:38

krassi_holmz
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Re: Fermat's last theorem

1. What is an eliptic curve?


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

krassi_holmz
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Re: Fermat's last theorem

I'm starting exploring internet...


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

krassi_holmz
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Re: Fermat's last theorem

2. What is cartesian plane?

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


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

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 2005-12-31 23:41:58

krassi_holmz
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Re: Fermat's last theorem

3. What is Riemann surface?


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

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 00:23:37)


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

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)

View Image: p1.GIF View Image: p2.GIF View Image: p3.GIF View Image: p4.GIF

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


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

krassi_holmz
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Registered: 2005-12-02
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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 2006-01-01 09:04:38

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

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#20 2006-01-01 12:50:26

krassi_holmz
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Re: Fermat's last theorem

4. Weierstrass p function?


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#21 2006-01-01 13:03:41

krassi_holmz
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Re: Fermat's last theorem

5. What is pole?


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#22 2006-01-01 13:08:33

krassi_holmz
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Re: Fermat's last theorem

6. Singularity


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#23 2006-01-01 13:10:05

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 2006-01-01 13:17:25

krassi_holmz
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Registered: 2005-12-02
Posts: 1,908

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 2006-01-01 13:21:22

krassi_holmz
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Posts: 1,908

Re: Fermat's last theorem

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


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