My Math Forum High-order root-approximating methods for children

 Number Theory Number Theory Math Forum

 March 5th, 2017, 11:39 AM #1 Member   Joined: Mar 2017 From: venezuela Posts: 36 Thanks: 3 High-order root-approximating methods for children Hi All, Hope you find of some interest how to teach children on high-order root-approximating methods (at any desired convergence rate) based on the generalized mediant which is well-known operation for Number theorists. No derivatives, no Trial-Error checks, No Geometry, but just the Simplest Arithmetic. Kindly take a look at the introduction on the new high-order methods for children at: https://domingogomezmorin.wordpress.com/ Best Regards,
 March 5th, 2017, 12:24 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,531 Thanks: 1390 are children generally in need of high-order root-approximating methods? Thanks from Joppy
 March 5th, 2017, 01:40 PM #3 Member   Joined: Mar 2017 From: venezuela Posts: 36 Thanks: 3 Yes, talented children certainly do: MATHPATH Program for middle school students showing high promise in mathematics: Cube roots via mediants Last edited by skipjack; March 5th, 2017 at 03:50 PM.
 March 5th, 2017, 02:52 PM #4 Senior Member   Joined: Aug 2012 Posts: 2,357 Thanks: 740 Nevermind. OP is basically spam. Totally not for children. It's a link to his book. Last edited by Maschke; March 5th, 2017 at 03:25 PM.
March 5th, 2017, 04:12 PM   #5
Senior Member

Joined: May 2016
From: USA

Posts: 1,310
Thanks: 551

Quote:
 Originally Posted by Maschke Nevermind. OP is basically spam. Totally not for children. It's a link to his book.,
which spam I have seen on other sites.

March 5th, 2017, 04:15 PM   #6
Senior Member

Joined: May 2016
From: USA

Posts: 1,310
Thanks: 551

Quote:
 Originally Posted by romsek are children generally in need of high-order root-approximating methods?
Absolutely. Every time I visit kindergarten, I am asked about the third real root of 11. Aren't you? Few kindergarteners are high on complex roots. But the REAL roots? HUGE deal among 5 and 6 year olds.

Last edited by JeffM1; March 5th, 2017 at 04:17 PM.

March 5th, 2017, 04:19 PM   #7
Member

Joined: Mar 2017
From: venezuela

Posts: 36
Thanks: 3

Quote:
 Originally Posted by arithmo Yes, talented children certainly do: MATHPATH Program for middle school students showing high promise in mathematics: Cube roots via mediants
Please, let young students find their way. Freedom.

Press News: ´The Irish Independent´ Dublin, Irlanda
January 24, 2004. Irish student awarded for his work based on some of the new methods shown in this book.

Boffins of the future gunning for glory - Independent.ie

March 5th, 2017, 06:22 PM   #8
Senior Member

Joined: Sep 2015
From: USA

Posts: 2,531
Thanks: 1390

Quote:
 Originally Posted by JeffM1 which spam I have seen on other sites.
I figured I'd see a mention of gnomons somewhere in the preview text....

March 7th, 2017, 01:16 AM   #9
Banned Camp

Joined: Dec 2012

Posts: 1,028
Thanks: 24

Quote:
 Originally Posted by arithmo Hi All, Hope you find of some interest how to teach children on high-order root-approximating methods (at any desired convergence rate) based on the generalized mediant which is well-known operation for Number theorists. No derivatives, no Trial-Error checks, No Geometry, but just the Simplest Arithmetic. Kindly take a look at the introduction on the new high-order methods for children at: https://domingogomezmorin.wordpress.com/ Best Regards,
There is an exact method via recoursive difference... pls search in my old post.

Given a $P\in\mathbb{N+}$, to have it's cubic root

Start from X=1, make the recoursive difference rising X using:

M_3(x)=3X^2-3X+1

Example: P=27

27-1=26
26-7=19
19-19=0 3 is the cubic root of 3

March 7th, 2017, 11:09 AM   #10
Member

Joined: Mar 2017
From: venezuela

Posts: 36
Thanks: 3

Quote:
 Originally Posted by complicatemodulus There is an exact method via recoursive difference... pls search in my old post. Given a $P\in\mathbb{N+}$, to have it's cubic root Start from X=1, make the recoursive difference rising X using: M_3(x)=3X^2-3X+1 Example: P=27 27-1=26 26-7=19 19-19=0 3 is the cubic root of 3
ok. thanks.
What about, say, the cube root of 2

Last edited by greg1313; March 7th, 2017 at 11:41 AM.

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post arithmetic Number Theory 0 October 9th, 2016 07:19 PM arithmetic Number Theory 0 September 11th, 2016 02:43 PM Azzaz Algebra 2 November 3rd, 2015 05:52 AM mirror Applied Math 2 September 8th, 2013 08:04 AM mehdiasgh Applied Math 0 May 24th, 2008 06:50 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top