August 31st, 2012, 09:32 PM  #21 
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: Solvable Quintics
[attachment=0:3juv0j7f]Quintic function  Wikipedia, the free encyclopedia.png[/attachment:3juv0j7f] I found the skipjack problem! the excerpt above is from this wiki link http://en.m.wikipedia.org/wiki/Quintic_equation 
September 1st, 2012, 01:51 AM  #22  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Solvable Quintics Quote:
But as you see, it's actually an enormous solution and the derivation of the solution is not so elegant @skipjack : How many terms there are inside the fifthroot symbol ? Balarka .  
September 1st, 2012, 03:33 AM  #23 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Solvable Quintics
Consider about the general BringJerrard quintic Set The equation becomes dependent on a single constant a. This is the BringJerrard normal form. Bring introduces a function, namely which is the root of the above equation. (the root is ) This is called the Bringradical or the hyper root. This is a transcendental function. We can easily get an expansion of it by the Taylor series of the reverse function of : Feel free to ask anything, Balarka . 
September 1st, 2012, 04:16 AM  #24  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Solvable Quintics Quote:
 
September 1st, 2012, 04:28 AM  #25  
Global Moderator Joined: Dec 2006 Posts: 19,865 Thanks: 1833  Quote:
 
September 1st, 2012, 04:35 AM  #26  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Solvable Quintics Quote:
 
September 1st, 2012, 04:53 AM  #27 
Global Moderator Joined: Dec 2006 Posts: 19,865 Thanks: 1833 
The 1994 paper by Speaman and Williams (and a later paper by the same authors) are also available online for free.

September 2nd, 2012, 08:14 PM  #28  
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: Solvable Quintics Quote:
 
September 2nd, 2012, 08:22 PM  #29  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Solvable Quintics Quote:
 
September 2nd, 2012, 08:32 PM  #30  
Math Team Joined: Jul 2011 From: North America, 42nd parallel Posts: 3,372 Thanks: 233  Re: Solvable Quintics Quote:
 

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