The Fifth Arithmetical Operation. The Missed link in Maths. New High-Order Numerical Methods

High-Order Root-Approximation Arithmetical methods that ancient mathematicians inexplicably missed, and do not appear in the math literature since antiquity.
The Fifth Arithmetical Operation. The Missed Link in Mathematics. New high-order arithmetical root-approximating methods produce approximations at any desired convergence rate and do not require using derivatives, geometry, or Trial-&-Error checks.
The new methods embrace the well-known methods from Daniel Bernoulli, Newton, Householder, and Halley, among others, just by using the Simplest Arithmetic. Moreover, they can be easily expressed in matrix form and extended to the General Algebraic Equation and complex numbers.
Based on the generalization of an arithmetical operation called Mediant in Number Theory, rarely used in the literature and always treated as a curiosity (Farey fractions, Brocot sequence, Ford's circles, Lattices, ...). The author widely expanded the scope of this operation and entitled it: 'The Fifth Arithmetical Operation' or 'The Rational Mean.'
A new way that differs from Infinitesimal Calculus.
Something you have never seen at school nor in the literature.
See also: • The Fifth Arithmetical...
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SOME REFERENCES:
Some results from this book: "New Numerical Methods" has been published and/or referenced in other books, journals, and math websites, as follows:
American Mathematical Monthly, Domingo Gomez Morin. A Special Continued Fraction for the Golden mean, p. 65, Volume118, No.1, January, 2011. USA.
www.jstor.org/...
Dr. Finch, Steven. Encyclopedia of Mathematics and its Applications, V. 94, Mathematical Constants, Section 1.1, pages 3-4, Cambridge University press 2003. USA.
assets.cambridg...
Brown Kevin.
Math Pages. mathpages.com/h...
ELSEVIER. CHAOS SOLITONS AND FRACTALS
Paper: “In the search of convergents to the cube root of 2”, Number 41 (2009) 811-817.
authors: Dr. Peter Petek, et All.
www.sciencedir...
Linas Vepstas. The Farey Room.
linas.org/art-g...
Mathematical Spectrum. (U.K.)
B. Bertuello. The Rational Mean. Vol. 39, No. 2, 2007.
2004. Dublin. ESAT BT YOUNG SCIENTIST OF THE YEAR AWARD. R. Larkin
www.irishtimes...
www.independen...
Pre-calculus book as described in the video:
Precálculo. Enfoque de resolución de problemas. México. Pearson, Prentice Hall.
Authors: Prado Pérez, C., et All. (2006).
www.amazon.com...
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Author: Domingo Gomez Morin
numbermusicrev...
Instagram: @DomingoGomezMorin
Original work. Based on the books:
-. AULOS, LA OTRA LUZ, EL HAZ EN FUGA:
www.amazon.com...
• AULOS. LA OTRA LUZ. ...
-. NEW NUMERICAL METHODS. THE RATIONAL MEAN
www.amazon.com...
• The Fifth Arithmetical...
Domingo León de Jesús Gómez Morín
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TOOLS:
www.geogebra.org/
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Backgrounds from:
tommyvideo at pixabay.com/
www.videezy.com/
www.videvo.net/
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[@robharwood3538]

Thank you for the subtitles! Without them, unfortunately I would never have had the opportunity to understand your lecture, and your valuable insights! Thank you for this video. It is incredibly enlightening for me!

[@redpillmath]

Might be you could be also interested in this video:
Proceso Racional vs Calculo Infinitesimal. Ni en escuelas, ni en libros enseñan esto! ¿Por qué?
English subtitles
ruclips.net/video/K2pRi_aONQc/видео.html

[@mmusiccopyrightfreemusic1123]

Parabéns!!!

[@AD-ve1kr]

good