MARC Record from marc_columbia

LEADER: 04625cam a2200445 i 4500
001 15287892
005 20210129105729.0
008 200129t20202020paua b 001 0 eng
010 $a 2019052802
035 $a(OCoLC)on1139028882
040 $aDLC$beng$erda$cDLC$dOCLCO$dOCLCF$dYDX$dUKMGB$dHDC$dCGU$dYDX$dMTG$dSTF
015 $aGBC0A3938$2bnb
016 7 $a019860250$2Uk
020 $a9781611976144$qpaperback
020 $a1611976146$qpaperback
020 $z9781611976151$qelectronic book
035 $a(OCoLC)1139028882
042 $apcc
050 00 $aQA63$b.C76 2020
082 00 $a510$bC9533s$223
049 $aZCUA
100 1 $aCrowdy, Darren,$eauthor.
245 10 $aSolving problems in multiply connected domains /$cDarren Crowdy, Imperial College London, London, United Kingdom.
264 1 $aPhiladelphia, PA :$bSociety for Industrial and Applied Mathematics,$c[2020]
264 4 $c©2020
300 $axxii, 434 pages :$billustrations (some color) ;$c26 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
338 $avolume$bnc$2rdacarrier
490 1 $aCBMS-NSF regional conference series in applied mathematics ;$v97
504 $aIncludes bibliographical references (pages 425-431)and index.
520 $a"The aim of this monograph is to present a mathematical framework which makes solving problems in multiply connected domains a very natural generalization of solving them in simply connected ones"--$cProvided by publisher.
520 3 $aWhenever two or more objects or entities-be they bubbles, vortices, black holes, magnets, colloidal particles, microorganisms, swimming bacteria, Brownian random walkers, airfoils, turbine blades, electrified drops, magnetized particles, dislocations, cracks, or heterogeneities in an elastic solid-interact in some ambient medium, they make holes in that medium. Such holey regions with interacting entities are called multiply connected. This book describes a novel mathematical framework for solving problems in two-dimensional, multiply connected regions. The framework is built on a central theoretical concept: the prime function, whose significance for the applied sciences, especially for solving problems in multiply connected domains, has been missed until recent work by the author. Solving Problems in Multiply Connected Domains is a one-of-a-kind treatise on the prime function associated with multiply connected domains and how to use it in a diverse range of applications; is the first monograph to focus on solving applied problems in multiply connected domains; and contains many results familiar in the simply connected, or single-entity, case that are generalized naturally to any number of entities, in many instances for the first time. This book is aimed at applied and pure mathematicians, engineers, physicists, and other natural scientists. It provides a rich source of project material for a range of undergraduate and graduate courses in the applied sciences and could serve as a complement to standard texts on advanced calculus, potential theory, partial differential equations and complex analysis, and as a supplement to texts on applied mathematical methods in engineering and science.
540 $aCurrent Copyright Fee: GBP1.60$c0.$5Uk
505 0 $aI. Mathematical framework. Function theory and the prime function ; Function theory in multiply connected circular domains ; The Schottky double ; What is the prime function? ; Doubly connected domains ; Triply and higher connected domains ; Schwarz-Christoffel mappings ; Loxodromic functions ; Automorphic functions ; Polycircular arc domains ; Quadrature domains ; Cauchy transforms ; Schwarz problems in multiply connected domains ; Computing the prime function -- II. Applications. A calculus for potential theory ; Hamiltonian dynamics of point vortices ; Electric transport theory and the Hall effect ; Laminar flow in ducts ; Torsion of hollow prismatic rods ; Laminar convective heat transfer ; Mixed-type boundary value problems ; Slow viscous flow ; Plane elasticity ; Vortex patch equilibria of the Euler equations ; Free surface Euler flow ; Laplacian growth and Hele-Shaw flow ; Free surface Stokes flow ; Epilogue.
650 0 $aProblem solving.
650 7 $aProblem solving.$2fast$0(OCoLC)fst01077890
776 08 $iOnline version:$aCrowdy, Darren,$tSolving problems in multiply connected domains$dPhiladelphia : Society for Industrial and Applied Mathematics, 2020.$z9781611976151$w(DLC) 2019052803
830 0 $aCBMS-NSF regional conference series in applied mathematics ;$v97.
852 00 $bmat$hQA1$i.R41 v.97