“…It is because [of] this form of relation of rational consequence that numbers are of such stupendous importance in reasoning. But the highest and last lesson which the numbers whisper in our ears is that of the supremacy

of the forms of relations for which their tawdry outside is the mere shell of the casket…”. Charles Sanders Peirce.
Papers & references
New Numerical Methods
Generalized Cont Fraction
Mersenne Prime Curiosity
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LA QUINTA OPERACIÓN ARITMÉTICA, Media Aritmónica

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

© All rights reserved under international Copyright Conventions. 2012 

 

Webpages and papers on the new numerical methods shown in this site and my book:

 

 

 AMERICAN MATHEMATICAL MONTHLY, January-2011, No. 118, page 65."A Special Continued Fraction for the Golden mean", Author: Domingo Gomez Morin.

 

STEVEN R. FINCH, “MATHEMATICAL CONSTANTS”, Encyclopedia of Mathematics and its applications. Cambridge University Press. Vol. 94, 2003. Chapter 1, pages 3-4.   Comments on my Generalized Continued Fractions and a reference to the book. 

 

Dr. HAAKON WAADELAND.   Paper entitled:  "Reflections on a result by Domingo Gomez". (See: Generalized Cont. Fraction webpage)

     

PRECALCULO: ENFOQUE DE RESOLUCIÓN DE PROBLEMAS. Author: Prof. Carlos Prado y otros. Editoral Pearson Educación, 2006. México. Reference p. 278, section 4.2.           

        

INDEPENDENT.ie  Dublin Ireland  Ronan Larkin, Top prize winner EsatBt-2004 Young Scientist Competition for his work on the new Generalized Continued Fractions that he found in these webpages.   Another similar article 

 

MATHEMATICS TEACHER  GLAD IV Vol. 90, No. 6 (september 1997), p. 480.  New geometric construction, author Domingo Gómez.

 

ELSEVIER. CHAOS SOLITONS AND FRACTALSPaper: “In the search of convergents to , Number 41 (2009) 811–817, authors: Peter Petek, Mitja Lakner, Marjeta Škapin Rugelj.  Some comments on the New Generalized Continued Fractions that they found in this site and a reference to my book.


AUTOMATICA.IT 2011 University of Pisa Robotics and automation society.  Paper (PDF) A. Balestrino, G. Zini.  “A Missed Connection?".   Very interisting application on electronics by agency of the new principles shown in these webpages, and also a reference to my book.

MATH PAGES, K. Brown. Analysis and comments about my new root-solving methods.

 

CONTINUED FRACTIONS by Dr. KERRY HANDSCOMB.   Paper (PDF) with reference to the contents of these webpages.

          

MATHPATH: Analysis on some of the new root-solving methods shown in these webpages

        

The Farey Room.   Link to this site 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

         

INRIA PROJECT ALGORITHMS. Steven Finch

          

MATH ARCHIVES: Numerical Analysis   Math Archives: Number Theory

          

UNIVERSITY OF CAMBRIDGE  Department of Pure Mathematics and Mathematical Statistics

 

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.       

      

 

 

 

 

Copyright © Domingo Gómez Morín 2012

All rights reserved under international Copyright Conventions.

No part of this page may be reproduced, stored or transmitted in any form or by any means

All the contents of this webpage are excerpts of the book:

“La Quinta Operación Aritmética”, ISBN:980-12-1671-9.