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Statistical Physics : An Advanced Approach with Applications

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概要 The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confr...onted with. Therefore the text contains more concepts and methods in statistics than the student would needed for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided in two parts focusing first on the modelling of statistical systems then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge.続きを見る
目次 1. Statistical Physics Is More than Statistical Mechanics
I. Modeling of Statistical Systems
2. Random Variables: Fundamentals of Probability Theory and Statistics
3. Random Variables in State Space: Classical Statistical Mechanics of Fluids
4. Random Fields: Textures and Classical Statistical Mechanics of Spin Systems
5. Time-Dependent Random Variables: Classical Stochastic Processes
6. Quantum Random Systems
7. Changes of External Conditions
II. Analysis of Statistical Systems
8. Estimation of Parameters
9. Signal Analysis: Estimation of Spectra
10. Inverse Problems: Estimation of Distributions
Appendix: Random Number Generation for Simulating Realizations of Random Variables
Problems
Hints and Solutions
References.
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登録日 2020.06.27
更新日 2020.06.28