Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Potential Theory (Record no. 426165)

000 -LEADER
fixed length control field 04090nam a22005535i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9781848823198
-- 978-1-84882-319-8
024 7# -
-- 10.1007/978-1-84882-319-8
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA404.7-405
072 #7 -
-- PBWL
-- bicssc
072 #7 -
-- MAT033000
-- bisacsh
072 #7 -
-- PBWL
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 515.96
Edition number 23
245 10 - TITLE STATEMENT
Title Potential Theory
Medium [electronic resource] /
Statement of responsibility, etc edited by Lester L. Helms.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture London :
Name of producer, publisher, distributor, manufacturer Springer London,
Date of production, publication, distribution, manufacture 2009.
300 ## -
-- XI, 441 p. 2 illus.
-- online resource.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term computer
Media Type Code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term online resource
Carrier Type Code cr
Source rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Universitext,
-- 0172-5939
505 0# -
-- Preliminaries -- Laplace's Equation -- The Dirichlet Problem -- Green Functions -- Negligible Sets -- Dirichlet Problem for Unbounded Regions -- Energy -- Interpolation and Monotonicity -- Newtonian Potential -- Elliptic Operators -- Apriori Bounds -- Oblique Derivative Problem.
520 ## -
-- Aimed at graduate students and researchers in mathematics, physics, and engineering, this book presents a clear path from calculus to classical potential theory and beyond, moving the reader into a fertile area of mathematical research as quickly as possible. The author revises and updates material from his classic work, Introduction to Potential Theory (1969), to provide a modern text that introduces all the important concepts of classical potential theory. In the first half of the book, the subject matter is developed meticulously from first principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem of the calculus, the author develops methods for constructing solutions of Laplace’s equation on a region with prescribed values on the boundary of the region. The second half addresses more advanced material aimed at those with a background of a senior undergraduate or beginning graduate course in real analysis. For specialized regions, namely spherical chips, solutions of Laplace’s equation are constructed having prescribed normal derivatives on the flat portion of the boundary and prescribed values on the remaining portion of the boundary. By means of transformations known as diffeomorphisms, these solutions are morphed into local solutions on regions with curved boundaries. The Perron-Weiner-Brelot method is then used to construct global solutions for elliptic partial differential equations involving a mixture of prescribed values of a boundary differential operator on part of the boundary and prescribed values on the remainder of the boundary.
650 #0 -
-- Potential theory (Mathematics).
650 #0 -
-- Mathematical physics.
650 #0 -
-- Engineering.
650 #0 -
-- Differential equations, partial.
650 #0 -
-- Mathematics.
650 14 -
-- Potential Theory.
-- http://scigraph.springernature.com/things/product-market-codes/M12163
650 24 -
-- Mathematical Methods in Physics.
-- http://scigraph.springernature.com/things/product-market-codes/P19013
650 24 -
-- Engineering, general.
-- http://scigraph.springernature.com/things/product-market-codes/T00004
650 24 -
-- Partial Differential Equations.
-- http://scigraph.springernature.com/things/product-market-codes/M12155
650 24 -
-- Applications of Mathematics.
-- http://scigraph.springernature.com/things/product-market-codes/M13003
700 1# -
-- Helms, Lester L.
-- editor.
-- edt
-- http://id.loc.gov/vocabulary/relators/edt
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9781848823181
776 08 -
-- Printed edition:
-- 9781848823204
830 #0 -
-- Universitext,
-- 0172-5939
856 40 -
-- https://doi.org/10.1007/978-1-84882-319-8
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)

No items available.

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