New root-solving   methods     Nuevos métodos  aritméticos para raíces (español)     Diophantine equation and the Rational Mean      New Generalized Continued Fractions     New Geometrical constructions (SIP)     Curiosity on two  Mersenne numbers

                       The Rational Mean

Excerpts from the book: LA QUINTA OPERACIÓN ARITMÉTICA, Media Aritmónica

                                             (Translation: The Fifth Arithmetical Operation, Arithmonic Mean) ISBN: 980-12-1671-9.

                                                                     Author: © Domingo Gómez Morín. Copyright. 1993-2008

                                   © All rights reserved under international Copyright Conventions.

                                          email:___djesusg@gmail.com___

 

Links to sites containing comments, papers, and references on the book and these web pages:

 

STEVEN R. FINCH, “MATHEMATICAL CONSTANTS”, Encyclopedia of Mathematics and its applications. Cambridge University Press. Vol. 94, 2003. Chapter 1, pages 3-4.   Comments on the Generalized Continued Fractions based on the Rational Mean Concept.

     

PRECALCULO: ENFOQUE DE RESOLUCIÓN DE PROBLEMAS. Author: Prof. Carlos Prado y otros. Editoral Pearson Educación, 2006. México. Referencia a la Media Racional y el libro en p. 278, section 4.2.

           

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

          

THE IRISH INDEPENDENT, News on the Generalized Continued Fractions developed in these web-pages, January 24, 2004

          

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

          

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

        

The Farey Room.   Link entitled: The Rational Mean as presented by Domingo Gómez Morín is a particularly fascinating, forceful, and instructive generalization…

 

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

Paper entitled: “The Rational Mean”,  on solving polynomial equations by using these new methods.

 

DIVULGAMAT. Comisión de Divulgación de la Real Sociedad Matemática Española (R.S.M.E.). 

Referencia, sección Algoritmos Numéricos titulada:  “Descripción de algunos algoritmos poco conocidos para calcular aproximaciones a raíces de números”.

 

CENTRO DE COMUNICACIÓN Y PEDAGOGÍA.  Link entitled: “La quinta operación aritmética”.  España.

 

University of ST. Thomas.  The Maine Mathematics Science and Engineering Talent Search Program (MMSETS). Link entitled: The Fifth Arithmetical Operation.

 

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

 

Technion. Israel Institute of Technology. Paper (pdf, Hebrew language).  Reference to these methods and my old URL: www.etheron.net/usuarios/dgomez/rmdef.htm which is out of service.

 

MATHEMATICAL ATLAS. Dave Rusin. Comments on the new Generalized Continued Fractions 

 

Eduardo Cantoral. Profesor de matemática educativa. “Relevant Science”. México.  Otro link con comentarios.

          

Numericana. Gérard P. Michon, Ph.D.  Link to Generalized Continued Fractions.

 

Ultrafractal. Some fractals based on these new algorithms. Código fuente de programa titulado: NthRootOfP

          

The National Science Digital Library

          

CORNELL THEORY CENTER (CTC) Link entitled: The Fifth Arithmetical Operation.

          

INRIA PROJECT ALGORITHMS. Steven Finch

          

MATH ARCHIVES: Numerical Analysis   Math Archives: Number Theory

          

UNIVERSITY OF CAMBRIDGE  Department of Pure Mathematics and Mathematical Statistics

 

Prof. Salvador Vera Ballesteros Dpto. Matemáticas Aplicada. Universidad Málaga. Link entitled: The Fifth Arithmetical Operation

 

University of Surrey, R. Knott. Link entitled: “Domingo Gómez shows a construction for the Isosceles-Fibonacci partition to construct points…”

 

Dr. Hassan Jolany.  مدیر علمی :حسن جولان   Directories of Mathematics.  Link entitled: The Fifth Arithmetical Operation. Tehran. Iran.

 

Workshop on Design of Algorithms.  Reference entitled: D. Gomez Morin. The mediant, the rational mean.

          

Mathematics Florida State University. Link entitled: “Domingo Gómez Morin Homepage Roots solving, Rational

Mean Definition…”

 

MATH FORUM Internet Mathematics Library

          

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

          

Department of Pure Mathematics, University of Cambridge. Mirror. Link entitled: Generalised Continued Fractions

          

www.numbertheory.org. Link entitled: Generalised Continued Fractions

 

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'.

Another link at: The Journal of Transfigural Mathematics.

          

Vedic Mathematics.  Link entitled: Domingo Gomez Morin. Some highly original work that makes solution of equations and other topics very easy

 

Catalog of Mathematics Resources Dr. M. Maheswaran, University of Wisconsin. Link entitled: The Fifth Arithmetical Operation

          

Numbers Constants and computation Xavier Gourdon  and  Pascal Sebah. Link entitled: The Fifth Arithmetical Operation

 

J. Wilson, The University of Georgia. Link to my old SIP-webpage URL, on new geometrical constructions

          

Real M. A. T. H. S. University at Buffalo. State University of New York. Link entitled: Generalized Continued Fractions

 

Prof. David eppstein. The geometry junkyard. Link entitled: Domingo Gomez Morin y las paginas SIP de construcciones geométricas.   

 

Farmingdale Teacher Center. Link entitled: The Fifth Arithmetical Operation - new arithmetical methods.       

 

Meta-Religion. Link to: The Fifth Arithmetical Operation

       

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

 

      

 

 

EMAIL:

Email:-____________________djesusg@gmail.com__________________________

Email:-____________________arithmetic@cantv.net_________________________

 

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Copyright ©  Domingo Gómez Morín 1993-2008

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Last revision: 2008