詳細資訊
MODERN CLASSICAL MECHANICS 2E 2020 (H) ISBN: 9781108834971 類別: 物理學Physics 出版社: CAMBRIDGE UNIVERSITY PRESS 作者: HELLIWELL 年份: 2020 裝訂別: 精裝 頁數: 704頁 內容簡介
書名: | Modern Classical Mechanics (2版) | |||
作者: | HelliwellSahakian | |||
版次: | 2 | |||
ISBN: | 9781108834971 | |||
出版社: | Cambridge | |||
書籍開數、尺寸: | 25.1*19.3 | |||
重量: | 1.66 Kg | |||
頁數: | 704 | |||
#物理學
#古典物理學 #力學/靜力學/動力學 #自然科學 |
詳細資訊
MODERN CLASSICAL MECHANICS 2E 2020 (H) ISBN: 9781108834971 類別: 物理學Physics 出版社: CAMBRIDGE UNIVERSITY PRESS 作者: HELLIWELL 年份: 2020 裝訂別: 精裝 頁數: 704頁 內容簡介
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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