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Fermat's Last Theorem a Simple Demonstration

Authors :
Ferreira, Jose William Porras
Publication Year :
2013
Publisher :
Zenodo, 2013.

Abstract

This paper presents two solutions to the Fermat’s Last Theorem (FLT). The first one using some algebraic basis related to the Pythagorean theorem, expression of equations, an analysis of their behavior, when compared with power and power and using " the “Well Ordering Principle” of natural numbers it is demonstrated that in Fermat equation . The second one solution is using the connection between and power through the Pascal’s triangle or Newton’s binomial coefficients, where de Fermat equation do not fulfill the first coefficient, then it is impossible that: zn=xn+yn for n>2 and (x, y, z) E Z+ - {0}<br />{"references":["Carmichael, R. D. The Theory of numbers and Diophantine Analysis.\nDover N.Y., 1959","Dantzig, Tobias. The Bequest of the Greeks. London: Allen &Unwin.\nISBN0837101602. 1955","Durán Guardeño, Antonio José. I. Matemáticas y matemáticos en el\nmundo griego. El legado de las matemáticas. De Euclides a Newton: los\ngenios a través de sus libros. Sevilla. ISBN9788492381821.","Leveque, W. J. Elementary Theory of numbers.. Addison-Wesley\nPublishing Company, 1962","Plaza, Sergio. Aritmética Elemental una introducción (otra más). Depto\nde Matemática, Facultad de Ciencias, Universidad Santiago de Chile.\nCasilla 307-Correo 2.","Singh, Simon. El enigma de Fermat. Tercera Edición Planeta\nISBN9788408065722 2010","Wiles, Andrew. Modular elliptic curves and Fermat's Last Theorem\n(PDF). Annals of Mathematics 141 (3): pp. 443-531. Doi:\n10.2307/211855, May 1995.","WEB1: http://www.mathworld.wolfram.com/Fermatlasttheorem.html.\nAccessed: January 4, 2011."]}

Details

Language :
English
ISSN :
08371016
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....193b06219d12479ebec1fc79deb65d39
Full Text :
https://doi.org/10.5281/zenodo.1335726