From its origins in Newtonian physics potential theory has developed into amajor field of mathematical research. This book provides a comprehensivetreatment of ... » 

From its origins in Newtonian physics potential theory has developed into amajor field of mathematical research. This book provides a comprehensivetreatment of classical potential theory it covers harmonic and subharmonicfunctions maximum principles polynomial expansions Green functionspotentials and capacity the Dirichlet problem and boundary integralrepresentations. The first six chapters deal concretely with the basic theoryand include exercises. The final three chapters are more advanced and treattopological ideas specifically created for potential theory such as the finetopology the Martin boundary and minimal thinness.The presentation is largelyselfcontained and is accessible to graduate students the only prerequisitesbeing a reasonable grounding in analysis and several variables calculus and afirst course in measure theory. The book will prove an essential reference toall those with an interest in potential theory and its applications. «