"Potential Theory" presents a clear path from calculus to
classical potential theory and beyond, with the aim of moving the
reader into the area of mathematical research as quickly as
possible. The subject matter is developed from first principles
using only calculus. Commencing with the inverse square law for
gravitational and electromagnetic forces and the divergence
theorem, the author develops methods for constructing solutions of
Laplace's equation on a region with prescribed values on the
boundary of the region.
The latter half of the book addresses more advanced material
aimed at those with the background of a senior undergraduate or
beginning graduate course in real analysis. Starting with solutions
of the Dirichlet problem subject to mixed boundary conditions on
the simplest of regions, methods of morphing such solutions onto
solutions of Poisson's equation on more general regions are
developed using diffeomorphisms and the Perron-Wiener-Brelot
method, culminating in application to Brownian motion.
In this new edition, many exercises have been added to reconnect
the subject matter to the physical sciences. This book will
undoubtedly be useful to graduate students and researchers in
mathematics, physics and engineering.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
