Geometría de las superficies. Aplicaciones en física (Spanish Edition) Book PDF, ePub eBook

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Book Descriptions:
Las superficies han sido estudiadas en geometría desde el siglo XVII, a partir de los trabajos pioneros de Descartes, Fermat, Euler y Lagrange. Su estudio permitió el desarrollo de las geometrías no euclideanas (Gauss) y de la geometría riemanniana (Riemann) durante el siglo XIX. Luego de 400 años el interés por las superficies no ha decaído, el tema sigue siendo objeto de estudio tanto en matemática como en física. A partir del siglo XX las superficies no han dejado de estar presentes, en matemática a través de los teoremas de inmersión de la geometría extrínseca hasta el flujo de Ricci, esencial en la reciente demostración de la conjetura de Poincaré. En física las superficies han estado presentes en investigaciones sobre: la relatividad general, las teorías de Kaluza y Klein, la gravedad extrínseca, las recientes teorías de cuerdas y los universos tipo membrana. En este texto se presentan las herramientas matemáticas que permiten abordar el estudio de las superficies y, además, algunas de las teorías de la física donde estas encuentran aplicación.

Geometría de las superficies. Aplicaciones en física (Spanish Edition) by Víctor Tapia

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