Classical and Statistical Thermodynamics An Adapted Versio(熱統計物理)

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書名：熱統計物理 CLASSICAL AND STATISTICAL THERMODYNAMICS An Adapted Version 雙語版 作者：CARTER 出版社：PEARSON 出版日期：2018/00/00 ISBN：9789862802717 Table of Contents: 1. The Nature of Thermodynamics 2. Equations of State 3. The First Law of Thermodynamics 4. Applications of the First Law 5. Consequences of the First Law 6. The Second Law of Thermodynamics 7. Applications of the Second Law 8. Thermodynamic Potentials 9. The Chemical Potential and Open Systems 10. The Third Law of Thermodynamics 11. The Kinetic Theory of Gases 12. Statistical Thermodynamics 13. Classical and Quantum Statistics 14. The Classical Statistical Treatment of an Ideal Gas 15. The Heat Capacity of a Diatomic Gas 16. The Heat Capacity of a Solid 17. The Thermodynamics of Magnetism 18. Bose-Einstein Gases 19. Fermi-Dirac Gases 20. Information Theory Appendices

Brownian Motion and Potential Theory, Modern and Classical (1版)

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【簡介】 In this book, potential theory is presented in an inclusive and accessible manner, with the emphasis reaching from classical to modern, from analytic to probabilistic, and from Newtonian to abstract or axiomatic potential theory (including Dirichlet spaces). The reader is guided through stochastic analysis featuring Brownian motion in its early chapters to potential theory in its latter sections. This path covers the following themes: martingales, diffusion processes, semigroups and potential operators, analysis of super harmonic functions, Dirichlet problems, balayage, boundaries, and Green functions. The wide range of applications encompasses random walk models, especially reversible Markov processes, and statistical inference in machine learning models. However, the present volume considers the analysis from the point of view of function space theory, using Dirchlet energy as an inner product. This present volume is an expanded and revised version of an original set of lectures in the Aarhus University Mathematics Institute Lecture Note Series. 【目錄】 Contents: Introduction Martingales and Markov Processes Brownian Motion and Ito-Calculus Semi-Groups of Operators, Potentials, and Diffusion Equations Harmonic Functions, Dynkin, and Transforms Superharmonic Functions and Riesz Measures Green Functions, Boundary Value Problems, and Kernels Potential Theory, Capacity, Boundaries, Dirichlet Spaces, and Applications Appendix: Kernels and More General Classes of Gaussian Processes