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En este estudio, se examina la subestructura matemática de las obras del artista gráfico neerlandés M.C. Escher. Los efectos matemáticos en las obras de Escher pueden clasificarse en ciertos temas. Los más importantes pueden ordenarse como la división regular del plano, las paradojas visuales y las ficciones sobre la estructura de la perspectiva y la topología geométrica. Para cada uno de estos temas, se puede decir que Escher está influenciado...
2) Hodge Theory
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Eduardo Cattani is professor of mathematics at the University of Massachusetts, Amherst. Fouad El Zein is a researcher at the Institut de Mathématiques de Jussieu, Université de Paris VII. Phillip A. Griffiths is former director and professor emeritus of mathematics at the Institute for Advanced Study in Princeton. Lê Dũng Tráng is professor emeritus of mathematics at the Aix-Marseille Université.
This book provides a comprehensive and up-to-date...
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Ehud Hrushovski is professor of mathematics at the Hebrew University of Jerusalem. He is the coauthor of Finite Structures with Few Types (Princeton) and Stable Domination and Independence in Algebraically Closed Valued Fields. François Loeser is professor of mathematics at Pierre-and-Marie-Curie University in Paris.
Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter...
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Claire Voisin has been a senior researcher at France's National Center for Scientific Research since 1986.
In this book, Claire Voisin provides an introduction to algebraic cycles on complex algebraic varieties, to the major conjectures relating them to cohomology, and even more precisely to Hodge structures on cohomology. The volume is intended for both students and researchers, and not only presents a survey of the geometric methods developed...
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Isroil A. Ikromov is professor of mathematics at Samarkand State University in Uzbekistan. Detlef Müller is professor of mathematics at the University of Kiel in Germany.
This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are...
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David S. Richeson is professor of mathematics at Dickinson College.
How a simple equation reshaped mathematics
Leonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's theorem is so simple it can be explained to a child. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery...
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