Solución para el último teorema de Fermat
DOI:
https://doi.org/10.21830/19006586.136Palabras clave:
Teorema de Fermat, Teorema de Pitágoras, Reducción ad absurdum, triángulos similaresResumen
El último teorema de Fermat (FLT), (1637), establece que, si n es un entero mayor que 2, entonces es imposible encontrar tres números naturales x, y y z donde dicha igualdad se cumple siendo (x, y)> 0 en xn + yn = zn. Este artículo muestra la metodología para probar el último teorema de Fermat por Reducción ad absurdum, el teorema de Pitágoras y la propiedad de triángulos similares, conocidos en el siglo XVII, cuando Fermat enunció el teorema.
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Referencias bibliográficas
Barlow P. An Elementary Investigation of Theory of Numbers. St. Paul's Church-Yard, London: J. Johnson. pp. 144–145. 1811.
Carmichael, R.—D. The Theory of numbers and Diophantine Analysis. Dover N. Y. 1959.
Cox D. A. Introduction to Fermat's last theorem. Amer. Math. Monthly 101 (1), pp 44-45. 1994
Darmon H., Deamond F. and Taylor R. Fermat’s Last Theorem. Current Developments in Math. International Press. Cambridge MA, pp 1-107. 1995.
Del Centina, A. Unpublished manuscripts of Sophie Germain and a revaluation of her work on Fermat's Last Theorem. Archive for History of Exact Sciences 62.4 (2008): pp 349-392. Web. September 2009.
de Castro Korgi R. The proof of Fermat's last theorem has been announced in Cambridge, England (Spanish), Lect. Mat.14, pp 1-3. 1993.
Gautschi, W. Leonhard Euler: His Life, the Man, and His Work. SIAM Review 50 (1): pp 3–33. 2008.
Gerd F. The proof of Fermat’s Last Theorem R. Thaylor and A. Wiles. Notices of the AMS. Volume 42 Number 7, pp 743-746, July 1995.
Gerhard F. Links between stable elliptic curve and certain Diophantine equations. Annales Universitatis Saraviensis. Series Mathematicae 1 (1) iv+40. ISSN 0933-8268, MR 853387. 1986.
Heath-Brown D. R. The first case of Fermat's last theorem. Math. Intelligencer7 (4), pp 40-47. 1985.
Kleiner I. From Fermat to wiles: Fermat’s Last Theorem Becomes a Theorem. Elem. Math. 55, pp. 19-37 doi: 10.1007/PL00000079. 2000.
Lamé, G., Memory on Fermat's Last Theorem (in French). C. R. Acad. Sci. Paris 9. pp. 45–46. 1839.
Lamé, G., Memory of the undetermined analysis demonstrating that the equation x^7+y^7=z^7 is impossible in integer numbers (in French). J. Math. Pures Appl. 5: pp. 195-211, 1840.
Legendre, A.M., Research on some analysis of unknown objects, particularly on Fermat's theorem (in French) Mem. Acad. Roy. Sci. Institut France 6: 1–60. 1823.
Mačys J.—J. On Euler’s hypothetical proof. Mathematical Notes 82 (3–4). pp. 352–356. 2007
Porras Ferreira J. W. Fermat’s Last Theorem A Simple Demonstration. International Journal of Mathematical Science. Vol 7 No.10, pp 51-60. 2013.
Ribenboim P., The history of Fermat's last theorem (Portuguese), Bol. Soc. Paran. Mat. (2) 5 (1), pp 14-32. 1984.
Ribet K. Galois representation and modular forms. Bulletin AMS 32, pp 375-402. 1995.
Ribet, K. A. "From the Taniyama-Shimura Conjecture to Fermat's Last Theorem." Ann. Fac. Sci. Toulouse Math. 11, pp. 116-139, 1990.
Serge L. Some History of the Shimura-Taniyama Conjecture. Notices of the AMS. Volume 42, Number 11, pp 301-1307. November 1995.
Singh S. Fermat’s Last Theorem. London. ISBN 1-85702521-0. 1997.
van der Poorten A. Remarks on Fermat's last theorem, Austral. Math. Soc. Gaz.21 (5), pp 150-159. 1994
Wiles A. Modular elliptic curves and Fermat’s Last Theorem (PDF). Annals of Mathematics 141 (3): pp. 443-531. Doi: 10.2307/211855, May 1995.
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