The Fifth Arithmetical Operation roots solving householder newton halley bernoulli mean arithmetic harmonic mean ratio generalized continued fraction raiz media armónica golden número number new algorithm method nuevo método convergence raices fifth operation algoritmo nueva rational racional irrational surd cubic square fourth polynome polinomio fractal generalizada math theory Domingo León de Jesús Gómez Morín

THE FIFTH ARITHMETICAL OPERATION

“LA QUINTA OPERACIÓN ARITMÉTICA. Media Aritmónica”

(Translation: The Fifth Arithmetical Operation)

ISBN: 980-12-1671-9. Spanish language.Author: © Domingo León Gómez Morín

Links to comments, analysis and references to the book and these web pages:

· “Steven R. Finch, Encyclopedia of Mathematics and its applications, Mathematical Constants”. Vol. 94, 2003. Chapter 1, pages 3-4. Cambridge University Press. [Generalized Continued Fractions based on the Rational Mean Concept].

· THE IRISH SCIENTIST Ronan Larkin, Top prize winner EsatBt-2004 Young Scientist Competition for his work on the new Generalized Continued Fractions shown in these web pages and the book

· THE IRISH INDEPENDENT, News on the Generalized Continued Fractions shown here, January 24,2004

· MATH PAGES, K. Brown. Analysis and comments on one of these new root-solving methods.

· MATHEMATICAL ATLAS. Dave Rusin. Related comments on some of these new methods.

· MATHPATH: Analysis on some of these new root-solving methods

· BRITANNICA.COM. “For Members” Section Encyclopaedia Britannica. Best’s web sites

· MATHEMATICAL SPECTRUM. Bob Bertuello. The Rational Mean. Vol. 39, No. 2, 2006/2007. UK.

An example on solving a polynomial equation by agency of the Rational Mean.

· Prof. Kirby Urner’s related postings at Phyton Forum and Math-Teach Forum

· Numericana. Gérard P. Michon, Ph.D.

· DIVULGAMAT. Comisión de Divulgación de la Real Sociedad Matemática Española (R.S.M.E.). Links: “Algoritmos Numéricos”,

Descripción de algunos algoritmos poco conocidos para calcular aproximaciones a raíces de números

· Ultrafractal. Some fractals based on these new algorithms

· PhD. Zémplen Gábor (Related article on GFC) Institute of Informatics, Szeged, Hungary

· Prof. Athanassios G. Kartsatos. Department of Mathematics, University of South Florida

· J. Wilson, The University of Georgia

· CORNELL THEORY CENTER (CTC) Math and Science Gateway

· INRIA PROJECT ALGORITHMS. Steven Finch

· MATH ARCHIVES: Numerical Analysis Math Archives: Number Theory

· UNIVERSITY OF CAMBRIDGE Department of Pure Mathematics and Mathematical Statistics

· Workshop on Design of Algorithms

The Journal of Transfigural Mathematics: is an interdisciplinary journal (English) of mathematics, logic, philosophy of mathematics and science, literature and arts. The goal of the JTfM is to generate debate. It looks around for inventions, discoveries and new scientific ideas, specially, those that disturbs the 'status quo'.

The Journal of Transfigural Mathematics. Another link

· Mathematics Florida State University

· University of Surrey, R. Knott, Fascinating Facts and Figures about the Golden Section

· MATH FORUM Internet Mathematics Library, Number Theory

· The Farey Room interesting transformations of the Farey and Continued Fraction Mapping, and some comments on these new methods based on the Rational Mean.

· N. J. A. Sloane: Data Base of Integer Sequences

· Keith Matthews, Dept. of Mathematics, University of Queensland, Australia

· UGA Mathematics. Mathematics Department, University of Georgia

· Dipartimento di Matematica dell'Università di Roma

· Department of Pure Mathematics, University of Cambridge. Mirror

· www.numbertheory.org

· Vedic Mathematics

· Ing. Ariel Medina. Programación C++. México

· Catalog of Mathematics Resources Dr. M. Maheswaran, University of Wisconsin

· Catalog of Mathematics Resources. Dr. Farjami, University of Tehran, Iran

· Numbers Constants and computation Xavier Gourdon and Pascal Sebah

· Geometry The online learning center

· Meikleriggs’s Mathematics

· Real M. A. T. H. S. University at Buffalo. State University of New York

· Prof. David eppstein. The geometry junkyard

· Prof. Salvador Vera Ballesteros Dpto. Matemáticas Aplicada. Universidad Málaga

· The National Urban Alliance

· Carlos Martín Piera Madrid

· FirstScience.com

· Meta-Religion

· www.sitesforteachers.com

· Links of Interest to a Mathematics Teacher

· Ideas And Activities

· The Teachers Guide. Mathematics

· Principia

· Biblioteca Nacional de Venezuela. Search by using “otros” option and ISBN: 980-12-1671-9

EMAIL:

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Email:-____________________arithmetic@cantv.net_________________________

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Last revision: 2006