The Dirichlet Problem for Multiply-connected Domains
Title | The Dirichlet Problem for Multiply-connected Domains PDF eBook |
Author | R. R. Reynolds |
Publisher | |
Pages | 12 |
Release | 1951 |
Genre | |
ISBN |
Integrable Structure of the Dirichlet Boundary Problem in Multiply-connected Domains
Title | Integrable Structure of the Dirichlet Boundary Problem in Multiply-connected Domains PDF eBook |
Author | Krichever, I |
Publisher | |
Pages | 34 |
Release | 2003 |
Genre | |
ISBN |
Solving Problems in Multiply Connected Domains
Title | Solving Problems in Multiply Connected Domains PDF eBook |
Author | Darren Crowdy |
Publisher | SIAM |
Pages | 456 |
Release | 2020-04-20 |
Genre | Mathematics |
ISBN | 1611976154 |
Whenever 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. This monograph is a one-of-a-kind treatise on the prime function associated with multiply connected domains and how to use it in applications. The book 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. Solving Problems in Multiply Connected Domains is aimed at applied and pure mathematicians, engineers, physicists, and other natural scientists; the framework it describes finds application in a diverse array of contexts. The book provides a rich source of project material for 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.
Boundary Value Problems
Title | Boundary Value Problems PDF eBook |
Author | F. D. Gakhov |
Publisher | Courier Corporation |
Pages | 596 |
Release | 1990-01-01 |
Genre | Mathematics |
ISBN | 9780486662756 |
A brilliant monograph, directed to graduate and advanced-undergraduate students, on the theory of boundary value problems for analytic functions and its applications to the solution of singular integral equations with Cauchy and Hilbert kernels. With exercises.
The Cauchy Transform, Potential Theory and Conformal Mapping
Title | The Cauchy Transform, Potential Theory and Conformal Mapping PDF eBook |
Author | Steven R. Bell |
Publisher | CRC Press |
Pages | 221 |
Release | 2015-11-04 |
Genre | Mathematics |
ISBN | 1498727212 |
The Cauchy Transform, Potential Theory and Conformal Mapping explores the most central result in all of classical function theory, the Cauchy integral formula, in a new and novel way based on an advance made by Kerzman and Stein in 1976.The book provides a fast track to understanding the Riemann Mapping Theorem. The Dirichlet and Neumann problems f
the hypercircle in mathematical physics
Title | the hypercircle in mathematical physics PDF eBook |
Author | |
Publisher | CUP Archive |
Pages | 444 |
Release | |
Genre | |
ISBN |