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Detta lilla häfte ger dig ett urval intressanta basfakta om bl.a. sociala, ekonomiska och kulturella förhållanden i hela Norden. Urvalet är hämtat ur Nordisk statistisk årsbok 2006.
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The proceedings of the 2005 les Houches summer school on Mathematical Statistical Physics give and broad and clear overview on this fast developing area of interest to both physicists and mathematicians.· introduction to a field of math with many interdisciplinary connections in physics, biology, and computer science· roadmap to the next decade of mathematical statistical mechanics· volume for reference years to come
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In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics--a field rooted in physics and chemistry whose ideas and methods are now central to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students in all of these fields, Sethna limits his main presentation to the topics that future mathematicians and biologists, as well as physicists and chemists, will find fascinating and central to their work. The amazing breadth of the field is reflected in the author's large supply of carefully crafted exercises, each an introduction to a whole field of study: everything from chaos through information theory to life at the end of the universe.
Statistical mechanics --- 531.19 --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- 531.19 Statistical mechanics --- Statistical mechanics.
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Sethna's book distills the core ideas of statistical mechanics to make room for new advances important to information theory, complexity, and modern biology. Aimed at advanced undergraduates and early graduate students, Sethna's text explores everything from chaos through information theory to life at the end of the universe. - ;In each generation, scientists must redefine their fields: abstracting, simplifying and distilling the previous standard topics to make room for new advances and methods. Sethna's book takes this step for statistical mechanics - a field rooted in physics and chemistry
Statistical mechanics. --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics
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This 2006 textbook provides a concise introduction to the key concepts and tools of statistical mechanics. It also covers advanced topics such as non-relativistic quantum field theory and numerical methods. After introducing classical analytical techniques, such as cluster expansion and Landau theory, the authors present important numerical methods with applications to magnetic systems, Lennard-Jones fluids and biophysics. Quantum statistical mechanics is discussed in detail and applied to Bose-Einstein condensation and topics in astrophysics and cosmology. In order to describe emergent phenomena in interacting quantum systems, canonical non-relativistic quantum field theory is introduced and then reformulated in terms of Feynman integrals. Combining the authors' many years' experience of teaching courses in this area, this textbook is ideal for advanced undergraduate and graduate students in physics, chemistry and mathematics.
Statistical mechanics. --- Statistical physics. --- Physics --- Mathematical statistics --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Statistical methods
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Statistical mechanics --- Problems, exercises, etc. --- Statistical physics --- Problems, excercises, etc. --- Statistische Physik --- Computerphysik --- Lehrbuch --- Basic Sciences. Physics --- Physics (General). --- fysicochemie --- Computer. Automation --- Acqui 2006
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Thermodynamics --- Thermodynamics. --- Heat. --- Statistical mechanics. --- Thermodynamique --- Chaleur --- Mécanique statistique --- Heat --- Statistical mechanics --- 536.7 --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Physics --- Heat-engines --- Quantum theory --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Electromagnetic waves --- Cold --- Combustion --- Fire --- Temperature --- Thermochemistry --- 536.7 Thermodynamics. Energetics --- Thermodynamics. Energetics
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From the reviews: "... Besides the fact that the author's treatment of large deviations is a nice contribution to the literature on the subject, his book has the virue that it provides a beautifully unified and mathematically appealing account of certain aspects of statistical mechanics. ... Furthermore, he does not make the mistake of assuming that his mathematical audience will be familiar with the physics and has done an admireable job of explaining the necessary physical background. Finally, it is clear that the author's book is the product of many painstaking hours of work; and the reviewer is confident that its readers will benefit from his efforts." D. Stroock in Mathematical Reviews 1985 "... Each chapter of the book is followed by a notes section and by a problems section. There are over 100 problems, many of which have hints. The book may be recommended as a text, it provides a completly self-contained reading ..." S. Pogosian in
Large deviations.
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Statistical mechanics.
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Entropy.
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Grandes déviations
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Mécanique statistique
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Entropie
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Electronic books. -- local.
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Large deviations
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Statistical mechanics
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Entropy
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Atomic Physics
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Mathematical Statistics
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Physics
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Mathematics
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Physical Sciences & Mathematics
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536.75
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531.19
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Entropy. Statistical thermodynamics. Irreversible processes
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531.19 Statistical mechanics
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536.75 Entropy. Statistical thermodynamics. Irreversible processes
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Deviations, Large
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Mathematics.
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System theory.
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Probabilities.
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Probability Theory and Stochastic Processes.
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Complex Systems.
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Statistical Physics and Dynamical Systems.
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Mechanics
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Mechanics, Analytic
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Quantum statistics
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Statistical physics
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Thermodynamics
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Limit theorems (Probability theory)
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Statistics
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Distribution (Probability theory.
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Statistical physics.
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Mathematical statistics
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Distribution functions
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Frequency distribution
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Characteristic functions
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Probabilities
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Statistical methods
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Dynamical systems.
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Dynamical systems
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Kinetics
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Force and energy
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Statics
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Probability
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Statistical inference
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Combinations
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Chance
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Least squares
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Risk
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Dealing with Dynamical Mean-Field Theory (DMFT), this book develops the formalism of many-body Green's functions using the equation of motion approach, which requires an undergraduate solid state physics course and a graduate quantum mechanics course as prerequisites. It also emphasizes how to carry out numerical calculations.
Nanostructures --- Thin films, Multilayered --- Mean field theory. --- Many-body problem. --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Mechanics, Analytic --- Many-body problem --- Statistical mechanics --- Langmuir-Blodgett films --- Multilayered thin films --- Nanoscience --- Physics --- Mathematics.
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The book presents the mathematical tools used to deal with problems related to slow rarefied flows, with particular attention to basic concepts and problems which arise in the study of micro- and nanomachines. The mathematical theory of slow flows is presented in a practically complete fashion and provides a rigorous justification for the use of the linearized Boltzmann equation, which avoids costly simulations based on Monte Carlo methods. The book surveys the theorems on validity and existence, with particular concern for flows close to equilibria, and discusses recent applications of rarefied lubrication theory to micro-electro-mechanical systems (MEMS). It gives a general acquaintance of modern developments of rarefied gas dynamics in various regimes with particular attention to low speed microscale gas dynamics. Senior students and graduates in applied mathematics, aerospace engineering, and mechanical mathematical physics will be provided with a basis for the study of molecular gas dynamics. The book will also be useful for scientific and technical researchers engaged in the research on gas flow in MEMS.
Kinetic theory of gases. --- Rarefied gas dynamics. --- Statistical mechanics. --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Superaerodynamics --- Fluid dynamics (Space environment) --- Gas dynamics --- Gases, Kinetic theory of --- Gases --- Molecular theory --- Statistical mechanics --- Mechanics. --- Differential equations, partial. --- Differentiable dynamical systems. --- Classical Mechanics. --- Partial Differential Equations. --- Dynamical Systems and Ergodic Theory. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Partial differential equations --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Partial differential equations. --- Dynamics. --- Ergodic theory. --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Dynamical systems --- Kinetics --- Mathematics --- Force and energy --- Statics
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