书目名称 | Classical Potential Theory |
编辑 | David H. Armitage,Stephen J. Gardiner |
视频video | http://file.papertrans.cn/228/227121/227121.mp4 |
概述 | Written by the world leaders in potential theory.Competitive titles are now out of print: an updated introductory text has been long awaited |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | From its origins in Newtonian physics, potential theory has developed into a major field of mathematical research. This book provides a comprehensive treatment of classical potential theory: it covers harmonic and subharmonic functions, maximum principles, polynomial expansions, Green functions, potentials and capacity, the Dirichlet problem and boundary integral representations. The first six chapters deal concretely with the basic theory, and include exercises. The final three chapters are more advanced and treat topological ideas specifically created for potential theory, such as the fine topology, the Martin boundary and minimal thinness..The presentation is largely self-contained and is accessible to graduate students, the only prerequisites being a reasonable grounding in analysis and several variables calculus, and a first course in measure theory. The book will prove an essential reference to all those with an interest in potential theory and its applications. |
出版日期 | Book 2001 |
关键词 | Analysis; Complex Analysis; Harmonic Functions; Poisson integral; Potential theory; Real Analysis; calculu |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4471-0233-5 |
isbn_softcover | 978-1-4471-1116-0 |
isbn_ebook | 978-1-4471-0233-5Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer-Verlag London 2001 |