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This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in L^p spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University. Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.

Calculus of variations. --- Nonlinear theories. --- Field theory (Physics) --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Physics. --- Mathematical optimization. --- Mechanics. --- Mechanics, Applied. --- Mathematics. --- Differential equations, partial. --- Global analysis (Mathematics). --- Physics, general. --- Calculus of Variations and Optimal Control; Optimization. --- Solid Mechanics. --- Applications of Mathematics. --- Partial Differential Equations. --- Analysis. --- Partial differential equations --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Math --- Science --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Operations research --- Simulation methods --- System analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Applied mathematics. --- Engineering mathematics. --- Partial differential equations. --- Mathematical analysis. --- Analysis (Mathematics). --- 517.1 Mathematical analysis --- Engineering --- Engineering analysis --- Mathematics

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Présentation par typologie de bâtiments de l'oeuvre complète de l'architecte portugais Eduardo Souto de Moura (1952-), prix Pritzker en 2011 . En annexe, chronologie de ses travaux depuis 1977 et interview de l'architecte.

Souto de Moura, Eduardo

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This contributed volume reports on a multidisciplinary collective work on the topic of Smart City, merging scientific reflections and operational issues. Here, current Smart Cities concepts are subjected to criticism, while the related terminology has been updated to contemplate a model of urban development capable of integrating technical and humanistic culture by fostering an open dialogue between different stakeholders. Upon an introduction to the state of the art, this book presents a glossary of definitions and concepts around the contemporary city, and five interviews with researchers and scholars of different background. The last chapter summarizes current challenges in designing the city of the future, highlighting new research directions in home-infrastructure, small smart city, energy transition, connectivity, digitalization and autonomous and connected mobility. Written by the members of the Scientific Committee of the Smart City 4.0 Sustainable LAB Research Laboratory, an inter-university network including research groups from the University of Parma, University of Modena and Reggio Emilia, University of Bologna, University of Ferrara, the Polytechnic University of Milan, and the Catholic University of Milan with its Piacenza campus, this book offers a source of inspiration for other researchers and stakeholders, and it is intended to foster collaborations between different stakeholders - and possibly countries – to develop future cities that are wise, green, sustainable and inclusive.

Smart cities. --- Sustainable architecture. --- Urban policy. --- Transportation engineering. --- Traffic engineering. --- Sustainable Architecture/Green Buildings. --- Urban Policy. --- Transportation Technology and Traffic Engineering.

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Viool --- Basso continuo --- Italië --- 16e eeuw --- Sonates --- 17e eeuw

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This is the first of two books on methods and techniques in the calculus of variations. Contemporary arguments are used throughout the text to streamline and present in a unified way classical results, and to provide novel contributions at the forefront of the theory. This book addresses fundamental questions related to lower semicontinuity and relaxation of functionals within the unconstrained setting, mainly in Lp spaces. It prepares the ground for the second volume where the variational treatment of functionals involving fields and their derivatives will be undertaken within the framework of Sobolev spaces. This book is self-contained. All the statements are fully justified and proved, with the exception of basic results in measure theory, which may be found in any good textbook on the subject. It also contains several exercises. Therefore,it may be used both as a graduate textbook as well as a reference text for researchers in the field. Irene Fonseca is the Mellon College of Science Professor of Mathematics and is currently the Director of the Center for Nonlinear Analysis in the Department of Mathematical Sciences at Carnegie Mellon University. Her research interests lie in the areas of continuum mechanics, calculus of variations, geometric measure theory and partial differential equations. Giovanni Leoni is also a professor in the Department of Mathematical Sciences at Carnegie Mellon University. He focuses his research on calculus of variations, partial differential equations and geometric measure theory with special emphasis on applications to problems in continuum mechanics and in materials science.

Partial differential equations --- Mathematical analysis --- Mathematics --- differentiaalvergelijkingen --- analyse (wiskunde) --- toegepaste wiskunde