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4e de couv. : Cet ouvrage présente de manière élémentaire les propriétés remarquables des fonctions d’une variable complexe, qui connaissent un regain d’intérêt du fait de leur implication dans plusieurs développements théoriques récents. On a choisi de mettre ici l’accent sur les notions fort utiles d’indice et de logarithme complexe. Ce document, qui constitue le support de cours d’un enseignement de tronc commun dispensé aux élèves de Mines ParisTech, pourra intéresser les élèves des écoles d’ingénieurs et les étudiants en cours de premier cycle universitaire scientifique, ainsi que toute personne curieuse ayant une formation équivalente. Il est complété par une annexe comportant quelques rappels de topologie et des problèmes-type corrigés.
This book deals with the estimation of natural resources using the Monte Carlo methodology. It includes a set of tools to describe the morphological, statistical and stereological properties of spatial random models. Furthermore, the author presents a wide range of spatial models, including random sets and functions, point processes and object populations applicable to the geosciences. The text is based on a series of courses given in the USA and Latin America to civil, mining and petroleum engineers as well as graduate students in statistics. It is the first book to discuss the geostatistical simulation techniques in such a specific way.
Mathematical morphology has developed a powerful methodology for segmenting images, based on connected filters and watersheds. We have chosen the abstract framework of node- or edge-weighted graphs for an extensive mathematical and algorithmic description of these tools. Volume 1 is devoted to watersheds. The topography of a graph appears by observing the evolution of a drop of water moving from node to node on a weighted graph, along flowing paths, until it reaches regional minima. The upstream nodes of a regional minimum constitute its catchment zone. The catchment zones may be constructed independently of each other and locally, in contrast with the traditional approach where the catchment basins have to be constructed all at the same time. Catchment zones may overlap, and thus, a new segmentation paradigm is proposed in which catchment zones cover each other according to a priority order. The resulting partition may then be corrected, by local and parallel treatments, in order to achieve the desired precision.
Après des décennies pendant lesquelles l’énergie bon marché coulait à flots sans problème particulier, les crises sont devenues la règle depuis une quarantaine d’années, avec un impact sur les sociétés humaines qui est généralement considérable. Ce livre fournit une base de réflexion sur l’ensemble des problèmes énergétiques globaux, en proposant une analyse des principaux aspects à prendre en considération : l’offre d’énergie, dépendante des ressources et des filières technologiques disponibles, les implications macroéconomiques de la demande d’énergie, les questions géopolitiques, les particularités de la situation des pays en développement. Il synthétise les principales questions liées à l’énergie et ne nécessite pas de connaissances préalables particulières, que ce soit en économie, en sciences de l’ingénieur ou en relations internationales.
Includes music.
Born and raised in Troyes, France, in 1653 Marguerite Bourgeoys came as a new recruit to de Maisonneuve's tiny and beleaguered settlement of Ville-Marie, founded in 1642 as a Christian missionary society. These early years in New France marked a special period in her life. Firmly committed to the belief that the world would be a better place if people learned to understand one another, she worked to build a better church and a better society, especially for women and children. Marguerite Bourgeoys's life story teaches us about tolerance and compassion, ideals that are no less important now than three centuries ago.
This volume covers topics ranging from pure and applied mathematics to pedagogical issues in mathematics. There are papers in mathematical biology, differential equations, difference equations, dynamical systems, orthogonal polynomials, topology, calculus reform, algebra, and numerical analysis. Most of the papers include new, interesting results that are at the cutting edge of the respective subjects. However, there are some papers of an expository nature.