Potential Theory PDF

by Lester Helms

Part of the Universitext series

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Description

The ?rst six chapters of this book are revised versions of the same chapters in the author's 1969 book, Introduction to Potential Theory.

Atthetimeof the writing of that book, I had access to excellent articles,books, and lecture notes by M.

Brelot. The clarity of these works made the task of collating them into a single body much easier.

Unfortunately, there is not a similar collection relevant to more recent developments in potential theory.

A n- comer to the subject will ?nd the journal literature to be a maze of excellent papers and papers that never should have been published as presented.

In the Opinion Column of the August, 2008, issue of the Notices of the Am- ican Mathematical Society, M.

Nathanson of Lehman College (CUNY) and (CUNY) Graduate Center said it best ". . . When I read a journal article, I often ?nd mistakes.

Whether I can ?x them is irrelevant. The literature is unreliable. " From time to time, someone must try to ?nd a path through the maze.

In planning this book, it became apparent that a de?ciency in the 1969 book would have to be corrected to include a discussion of the Neumann problem, not only in preparation for a discussion of the oblique derivative boundary value problem but also to improve the basic part of the subject matter for the end users, engineers, physicists, etc.