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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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Inhoudsopgave 1. Algemene principes 2. Krachtvectoren 3. Evenwicht van een puntmassa 4. Resultanten van een krachtenstelsel 5. Evenwicht van een star lichaam 6. Structurele analyse 7. Interne krachten 8. Wrijving 9. Aangrijpingspunt van de zwaartekracht en positie van het zwaartepunt 10. Traagheidsmomenten 11. Virtuele arbeid Appendices A Wiskundige formules B Numerieke en computeranalyse B.1 Lineaire algebraïsche vergelijkingen B.2 Regel van Simpson B.3 De secans-methode C Extra vraagstukken Antwoorden op geselecteerde vraagstukken
mechanica --- Engineering sciences. Technology --- Classical mechanics. Field theory --- statica (fysica) --- toegepaste mechanica --- Statica --- 531.2 --- krachten --- wrijving --- zwaartekracht --- 531 )* MECHANICA --- krachtenleer --- statica --- Mechanica : statica --- traagheidsmoment --- vectorbewerking --- Statics. Forces. Equilibrium. Attraction --- Statica. --- 531.2 Statics. Forces. Equilibrium. Attraction --- Applied physical engineering
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Fluid dynamics --- Fluides, Dynamique des --- 531.3 --- 532.5 --- Dynamics. Kinetics --- Liquid motion. Hydrodynamics --- 532.5 Liquid motion. Hydrodynamics --- 531.3 Dynamics. Kinetics --- Dynamics --- Fluid mechanics
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Dynamics. --- Mechanics, Applied. --- Mechanica : dynamica --- 531.3 --- 531.3 Dynamics. Kinetics --- Dynamics. Kinetics --- dynamica --- kinematica --- kinetica --- mechanica --- puntmassa's --- starre lichamen --- trillingen --- Applied physical engineering --- Classical mechanics. Field theory --- Structural analysis (Engineering). --- Dynamica
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History of physics --- Theory of relativity. Unified field theory --- Geophysics --- Zwaartekracht --- 531.5 --- Books before 1840 --- Natuurwetenschappen --- Geschiedenis --- Aristoteles --- Einstein, Albert --- Newton, Isaac --- Copernicus, Nicolaus --- Galileï, Galileo --- Astronomie --- Wetenschappen --- zwaartekracht --- einstein --- 531.5 Gravity. Gravitation. Pendulums. Ballistics --- Gravity. Gravitation. Pendulums. Ballistics --- Galilei, Galileo --- Wetenschap --- Geneeskunde --- Techniek (wetenschap) --- Atlas --- Museum --- Voorlichting --- Onderzoek (wetenschap)
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BPB0612 --- 7 <493> --- 342.531 <493> --- Kunst. Ruimtelijke ordening. Architectuur. Sport en spel--België --- Senaat. Eerste Kamer. Bundesrat. House of Lords--België --- 342.531 <493> Senaat. Eerste Kamer. Bundesrat. House of Lords--België --- 7 <493> Kunst. Ruimtelijke ordening. Architectuur. Sport en spel--België --- Art --- Belgium --- Brussels (Belgium)
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Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression from core topics to more advanced ones and hard topics are treated with particular care. A theme of the book is the importance of conservation principles. These appear first in vectorial mechanics where they are proved and applied to problem solving. They reappear in analytical mechanics, where they are shown to be related to symmetries of the Lagrangian, culminating in Noether's theorem.
531 --- 531 General mechanics. Mechanics of solid and rigid bodies --- General mechanics. Mechanics of solid and rigid bodies --- Mechanics --- Classical mechanics --- Newtonian mechanics --- Physics --- Dynamics --- Quantum theory --- Classical mechanics. Field theory --- Mechanics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- E-books --- Physics. --- Mecanique classique
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Measurement. --- Uncertainty. --- Physical measurements. --- Mesure --- Incertitude --- Mesures physiques --- Measurement --- Uncertainty --- Physical measurements --- Measurement uncertainty (Statistics) --- 531.7 --- meettechnieken --- Measurements, Physical --- Mathematical physics --- Error, Margin of (Statitics) --- Margin of error (Statistics) --- Instrumental variables (Statistics) --- meten van geometrische en mechanische grootheden
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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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This work is a compilation of fundamental solutions (or Green's functions) for classical or canonical problems in elastodynamics presented with a common format and notation. These formulas describe the displacements and stresses elicited by dynamic sources in solid elastic media like full spaces, half-spaces, strata and plates in both two and three dimensions, using the three major coordinate systems (Cartesian, cylindrical and spherical), and also for transient and harmonic motions. Such formulas are useful for numerical methods and practical application to problems of wave propagation in elasticity, soil dynamics, earthquake engineering, mechanical vibration, or geophysics. These formulas were heretofore only found scattered throughout the literature. The solutions are tabulated without proof, but giving reference to appropriate modern papers and books containing full derivations. Most formulas in the book have been programmed and tested within the MATLAB environment. The program listings are available for free download on the book's website.
Dynamics --- Elasticity --- Green's functions --- 531.38 --- 531.38 Other motions of a solid body. Motion about a fixed point. Motion about an axis etc. Bodies of rotation. Gyroscopes. Spinning tops --- Other motions of a solid body. Motion about a fixed point. Motion about an axis etc. Bodies of rotation. Gyroscopes. Spinning tops --- Elastic properties --- Young's modulus --- Mathematical physics --- Matter --- Statics --- Rheology --- Strains and stresses --- Strength of materials --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Functions, Green's --- Functions, Induction --- Functions, Source --- Green functions --- Induction functions --- Source functions --- Differential equations --- Potential theory (Mathematics) --- Properties --- Elasticity. --- Dynamics. --- Green's functions.
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