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Inequalities
This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalitie...
Topics in Algebra and Analysis
The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.
Advances in Soft Computing
Artificial intelligence (AI) is a branch of computer science that models the human ability of reasoning, usage of human language and organization of knowledge, solving problems and practically all other human intellectual abilities. Usually it is characterized by the application of heuristic methods because in the majority of cases there is no exact solution to this kind of problem. Soft computing can be viewed as a branch of AI that deals with the problems that explicitly contain incomplete or complex information, or are known to be impossible for direct computation, i.e., these are the same problems as in AI but viewed from the perspective of their computation. The Mexican International Co...
Descartes y la ciencia del siglo XVII
Las más de las veces, el Descartes que se conoce es el Descartes filósofo. Pero su obra abarca un espectro mucho más amplio: ¿dónde queda el Descartes que abre la senda para los métodos analíticos en las matemáticas, sin la cual es impensable la obra monumental de Newton? Este Descartes preocupado por la ciencia es el que inspira los textos aquí reunidos: a través de ellos el lector puede juzgar si, además de ser considerado el primer filósofo de la modernidad, pudiera tal vez considerársele el primer científico de la modernidad.
Sumario compendioso de las cuentas de plata y oro que en los reinos del Perú son necesarias a los mercaderes y a todo género de tratantes
"En 1556, en la Ciudad de México, entonces capital del virreinato de la Nueva España, se publicó un texto sobre aplicaciones de la aritmética y el álgebra a las actividades mercantiles. Esta obra escrita por Juan Díez Freyle, titulada Sumario Compendioso de las cuentas..., es, sin duda, el primer libro científico publicado en todo el continente americano, lo que permite afirmar que las matemáticas irradiaron a toda América desde México. Este importante hecho es poco conocido, sobre todo, porque en la actualidad únicamente sobreviven tres o cuatro ejemplares de este libro, y todos se encuentran fuera de nuestro país, así que la presente edición facsimilar del Sumario, permitirá...
Matemáticas: la gramática de la naturaleza
Este libro intenta responder de manera sencilla y accesible, que las matemáticas pueden ser un lenguaje comprensible, sugerente, vital para entender los fenómenos en que estamos inmersos -desde el latir de nuestro corazón hasta la meteorología, de la oscilación de un cristal al comportamiento de las hormigas y los cambios en una sociedad.
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Hyperborder
Roving vigilantes, fear-mongering politicians, hysterical pundits, and the looming shadow of a seven hundred-mile-long fence: the US–Mexican border is one of the most complex and dynamic areas on the planet today. Hyperborder provides the most nuanced portrait yet of this dynamic region. Author Fernando Romero presents a multidisciplinary perspective informed by interviews with numerous academics, researchers, and organizations. Provocatively designed in the style of other kinetic large-scale studies like Rem Koolhaas's Content and Bruce Mau’s Massive Change, Hyperborder is an exhaustively researched report from the front lines of the border debate.
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