Potential Theory is popular PDF and ePub book, written by Lester L. Helms in 2014-04-10, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Potential Theory can be Read Online from any device for your convenience.
Potential Theory Book PDF Summary
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.
Detail Book of Potential Theory PDF
- Author : Lester L. Helms
- Release : 10 April 2014
- Publisher : Springer Science & Business Media
- ISBN : 9781447164227
- Genre : Mathematics
- Total Page : 494 pages
- Language : English
- PDF File Size : 20,5 Mb
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