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Mathematics

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Human engineering. --- Social psychology. --- Ergonomia --- Psicologia social --- Pandèmia de COVID-19, 2020 --- -Human engineering. --- -Epidèmia de COVID-19, 2020 --- -COVID-19 (Pandèmia), 2020 --- -Epidèmies --- COVID-19 --- Conducta social --- Psicologia de les masses --- Psicosociologia --- Ecologia humana --- Grups socials --- Sociologia --- Actitud (Psicologia) --- Adaptació social --- Aïllament social --- Alienació (Psicologia social) --- Anomia --- Aprenentatge social --- Atribució (Psicologia social) --- Conducta organitzacional --- Comportament col·lectiu --- Constructivisme social --- Cooperació (Psicologia) --- Dinàmica de grups --- Discriminació --- Elecció social --- Empatia --- Entrevista --- Estigma (Psicologia social) --- Guerra psicològica --- Histèria col·lectiva --- Identitat nacional --- Influència social --- Intel·ligència social --- Interacció social --- Interaccionisme simbòlic --- Intersubjectivitat --- Lideratge --- Conflictes socials --- Memòria col·lectiva --- Moviments socials --- Opinió pública --- Opressió (Psicologia) --- Prestigi --- Psicologia aplicada --- Psicologia crítica --- Psicologia forense --- Psicologia política --- Psiquiatria social --- Relacions humanes --- Representacions socials --- Rol social --- Violència --- Estereotip (Psicologia) --- Etnopsicologia --- Sociologia de l'educació --- Enginyeria humana --- Factors humans en enginyeria --- Biotecnologia --- Enginyeria industrial --- Condicions de treball --- Factors humans en l'arquitectura --- Interacció persona-ordinador --- Sistemes persona-màquina --- Benestar --- Mass psychology --- Psychology, Social --- Human ecology --- Psychology --- Social groups --- Sociology --- Ergonomics --- Human factors in engineering design --- Bioengineering --- Environmental engineering --- Industrial engineering --- Human comfort --- Human-robot interaction --- Pandèmia de COVID-19, 2020-

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This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community.
Contents:

• From the Boltzmann Equation to Discretized Kinetic Models (N Bellomo & R Gatignol)

Transport theory. --- Finite element method. --- Differential equations --- 517.91 Differential equations --- FEA (Numerical analysis) --- FEM (Numerical analysis) --- Finite element analysis --- Numerical analysis --- Isogeometric analysis --- Boltzmann transport equation --- Transport phenomena --- Mathematical physics --- Particles (Nuclear physics) --- Radiation --- Statistical mechanics --- Asymptotic theory.

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This work aims to foster the interdisciplinary dialogue between mathematicians and socio-economic scientists. Interaction among scholars and practitioners traditionally coming from different research areas is necessary more than ever in order to better understand many real-world problems we face today.   On the one hand, mathematicians need economists and social scientists to better address the methodologies they design in a more realistic way; on the other hand, economists and social scientists need to be aware of sound mathematical modelling tools in order to understand and, ultimately, solve the complex problems they encounter in their research.   With this goal in mind, this work is designed to take into account a multidisciplinary approach that will encourage the transfer of knowledge, ideas, and methodology from one discipline to the other. In particular, the work has three main themes:   Demystifying and unravelling complex systems; Introducing models of individual behaviours in the social and economic sciences; Modelling socio-economic sciences as complex living systems.   Specific tools examined in the work include a recently developed modelling approach using stochastic game theory within the framework of statistical mechanics and progressing up to modeling Darwinian evolution. Special attention is also devoted to social network theory as a fundamental instrument for the understanding of socio-economic systems.

Economics -- Computer simulation. --- Economics -- Mathematical models. --- Social sciences -- Computer simulation. --- Social sciences -- Mathematical models. --- Social sciences --- Economics --- Engineering & Applied Sciences --- Applied Mathematics --- Mathematical models --- Computer simulation --- Mathematical models. --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Game theory. --- System theory. --- Economic theory. --- Social sciences. --- Mathematical Modeling and Industrial Mathematics. --- Economic Theory/Quantitative Economics/Mathematical Methods. --- Complex Systems. --- Social Sciences, general. --- Game Theory, Economics, Social and Behav. Sciences. --- Applications of Mathematics. --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Economic theory --- Political economy --- Economic man --- Models, Mathematical --- Simulation methods --- Systems, Theory of --- Systems science --- Science --- Games, Theory of --- Theory of games --- Mathematics --- Engineering --- Engineering analysis --- Mathematical analysis --- Math --- Philosophy --- Economics, Mathematical --- Computer simulation.

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Mathematical optimization. --- Mathematical optimization --- Computer programs. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Models matemàtics --- Optimització matemàtica --- Mètodes de simulació --- Jocs d'estratègia (Matemàtica) --- Optimització combinatòria --- Programació dinàmica --- Programació (Matemàtica) --- Anàlisi de sistemes --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics