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I found out new proof of Pythagorean theorem , how can I publish it ? 
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#37
Nov1412, 05:47 PM

P: 66




#38
Nov1412, 05:49 PM

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#39
Nov1412, 05:49 PM

P: 66

@Micromass
so , any new proof for any theorem will be treated with the same way ? or some theorems is diffrent from others ? what about main theorms in calculus ? 


#40
Nov1412, 05:52 PM

P: 66

ok :) it's not a problem , I think that your speech wasn't " pedantic argument " , but it made somethings obvious thank you :) 


#41
Nov1412, 05:59 PM

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P: 18,240

A famous example is the insolvability of the quintic. This was originally proven by Abel and Ruffini. But later, Galois proved it using the methods of (what is now called) Galois theory. From a certain point of view, the theorem was already proven. But the proof Galois gave is very intricate and beautiful. Furthermore, it gives exactly a criterium of when a polynomial can be solved or not. And the same method can be generalized to other settings as well (such as integration theory). Finally, Galois theory is one of the most elegant mathematics known to man! Despite Galois theory not really proving anything novel, it is still one of the most important theories in mathematics out there. If you are interested in Abel's theorem, then I highly recommend the following book: http://www.amazon.com/AbelsTheorem.../dp/1402021860 It is suitable for high school students who are interested in higher level math. It introduces elegant theories such as groups and Riemann surfaces and it culminates with Abel's theorem. 


#42
Nov1412, 06:04 PM

P: 2,179

I was told that the original proof of the Riesz Representation theorem was 300 pages long. I don't know if it's true.



#43
Nov1412, 06:10 PM

P: 66

as you know " I think that you know " that I study Abstract Algebra nowdays from Dummit and foote , and Galois theory is the topic of 14th chapter , and I'm very excited to reach this chapter but I still in the second one , :)) 


#44
Nov1412, 06:17 PM

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#45
Nov1412, 06:18 PM

P: 66

I know the fermat last theorems needed 100 page from prof wiles to be writen ! the funny thing that I tried to find new proof to this Big theorem ! of course I failed " until now at least ! " 


#46
Nov1412, 06:20 PM

P: 66

if he did , does artin cover it well ? or he obfuscated it !! ? 


#47
Nov1412, 06:28 PM

P: 2,939

Speaking of proofs dont forget the book: Proofs from The Book
http://en.wikipedia.org/wiki/Proofs_from_THE_BOOK 


#48
Nov1412, 06:30 PM

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P: 18,240

If you're looking for beautiful treatments of Galois theory, then the following books are exellent: http://www.amazon.com/GaloisTheory...+galois+theory (this is not the same Artin as the one who wrote the algebra book) http://www.amazon.com/AbelsTheorem...ds=Arnold+Abel 


#50
Nov1412, 06:33 PM

P: 66

but as you know , I have to study Group theory and Field theory first :) I think that it's not easy job , is it ? 


#51
Nov1712, 02:43 AM

P: 320

Hey Maths lover, just out of curiosity what is your native language?



#52
Nov1712, 04:10 AM

P: 5,630

I don't know where websites are getting the figure of 98 proofs as the current number. A geometry text I have preceeds one proof with the following introduction:
"There are hundreds of known proofs of the Pythagorean theorem. A complilation containing more than 350 proofs appears in The Pythagorean Proposition by Elisha Scott Loomis published by the National Council of Teachers of Mathematics." Googling that book, The Pythagorean Proposition, I find: http://mathlair.allfunandgames.ca/pythprop.php which states it has 370 proofs. And is also a difficult book to get hold of. The author of that site, MathLair, say he has reproduced portions of it there, since it's in the public domain. Note also that, based on this book, Guiness Book of Records calls the Pythagorean Theorem the "most proved theorem". 


#53
Nov1712, 08:58 AM

P: 2,939

The 98 comes from the second verse of the song 99 bottles of proof on the wall (or is that beer)...



#54
Nov1712, 09:02 AM

P: 66




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