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Author : Joseph Ross Brown
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (546 download)
Download or read book Conformal Mapping of Simply Connected Regions written by Joseph Ross Brown and published by . This book was released on 1949 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maxwell Duncan McCornock
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (328 download)
Download or read book Conformal Mapping of Simply Connected Regions written by Maxwell Duncan McCornock and published by . This book was released on 1967 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Louise L. Leon
Publisher :
ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (561 download)
Download or read book Conformal Mapping of a Plane Simply Connected Region on a Circle written by Louise L. Leon and published by . This book was released on 1954 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maynard G. Arsove
Publisher : American Mathematical Soc.
ISBN 13 : 0821812912
Total Pages : 60 pages
Book Rating : 4.8/5 (218 download)
Download or read book A Conformal Mapping Technique for Infinitely Connected Regions written by Maynard G. Arsove and published by American Mathematical Soc.. This book was released on 1970 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of classical analysis devised originally for the disc are here extended to more general plane regions by the use of Green's lines, the Green's mapping, and an ideal boundary structure generalizing the prime-end structure of Carathéodory. The regions admitted include all bounded finitely connected regions, as well as a broad class of infinitely connected regions. Since certain modifications in the Brelot-Choquet theory are needed to allow for singular Green's lines, an independent development of the theory of Green's lines is given, based on properties of the Green's mapping. These techniques make possible the introduction of a generalized Poisson kernel and integral defined in terms of Green's lines.
Author : Joseph Leonard Walsh
Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Canonical Conformal Maps of Multiply Connected Regions written by Joseph Leonard Walsh and published by . This book was released on 1958 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Prem K. Kythe
Publisher : CRC Press
ISBN 13 : 135171872X
Total Pages : 663 pages
Book Rating : 4.3/5 (517 download)
Download or read book Handbook of Conformal Mappings and Applications written by Prem K. Kythe and published by CRC Press. This book was released on 2019-03-04 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date, with diagrams and description, and all possible applications in different scientific disciplines, such as: fluid flows, heat transfer, acoustics, electromagnetic fields as static fields in electricity and magnetism, various mathematical models and methods, including solutions of certain integral equations.
Author : Prem Kythe
Publisher : Springer Science & Business Media
ISBN 13 : 1461220025
Total Pages : 479 pages
Book Rating : 4.4/5 (612 download)
Download or read book Computational Conformal Mapping written by Prem Kythe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book evolved out of a graduate course given at the University of New Orleans in 1997. The class consisted of students from applied mathematics andengineering. Theyhadthebackgroundofatleastafirstcourseincomplex analysiswithemphasisonconformalmappingandSchwarz-Christoffeltrans formation, a firstcourse in numerical analysis, and good to excellent working knowledgeofMathematica* withadditionalknowledgeofsomeprogramming languages. Sincetheclasshad nobackground inIntegralEquations, thechap tersinvolvingintegralequationformulations werenotcoveredindetail, except for Symm's integral equation which appealed to a subsetofstudents who had some training in boundary element methods. Mathematica was mostly used for computations. In fact, it simplified numerical integration and other oper ations very significantly, which would have otherwise involved programming inFortran, C, orotherlanguageofchoice, ifclassical numericalmethods were attempted. Overview Exact solutions of boundary value problems for simple regions, such as cir cles, squares or annuli, can be determined with relative ease even where the boundaryconditionsarerathercomplicated. Green'sfunctionsforsuchsimple regions are known. However, for regions with complex structure the solution ofa boundary value problem often becomes more difficult, even for a simple problemsuchastheDirichletproblem. Oneapproachtosolvingthesedifficult problems is to conformally transform a given multiply connected region onto *Mathematica is a registered trade mark of Wolfram Research, Inc. ix x PREFACE simpler canonical regions. This will, however, result in change not only in the region and the associated boundary conditions but also in the governing differential equation. As compared to the simply connected regions, confor mal mapping ofmultiply connected regions suffers from severe limitations, one of which is the fact that equal connectivity ofregions is not a sufficient condition to effect a reciprocally connected map ofone region onto another.
Author : Ludwig Bieberbach
Publisher : American Mathematical Soc.
ISBN 13 : 0821821059
Total Pages : 242 pages
Book Rating : 4.8/5 (218 download)
Download or read book Conformal Mapping written by Ludwig Bieberbach and published by American Mathematical Soc.. This book was released on 2000 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the fourth German edition by F. Steinhardt, with an expanded Bibliography.
Author : Roland Schinzinger
Publisher : Courier Corporation
ISBN 13 : 0486150747
Total Pages : 628 pages
Book Rating : 4.4/5 (861 download)
Download or read book Conformal Mapping written by Roland Schinzinger and published by Courier Corporation. This book was released on 2012-04-30 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides. Other topics include vibrating membranes and acoustics, transverse vibrations and buckling of plates, stresses and strains in an elastic medium, steady state heat conduction in doubly connected regions, transient heat transfer in isotropic and anisotropic media, and fluid flow. Revision of 1991 ed. 247 figures. 38 tables. Appendices.
Author : Darren Crowdy
Publisher : SIAM
ISBN 13 : 1611976154
Total Pages : 456 pages
Book Rating : 4.6/5 (119 download)
Download or read book Solving Problems in Multiply Connected Domains written by Darren Crowdy and published by SIAM. This book was released on 2020-04-20 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Colleen Frazer
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (24 download)
Download or read book Conformal Mapping of Simply-connected Domains written by Colleen Frazer and published by . This book was released on 1962 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Christian Pommerenke
Publisher : Springer Science & Business Media
ISBN 13 : 3662027704
Total Pages : 307 pages
Book Rating : 4.6/5 (62 download)
Download or read book Boundary Behaviour of Conformal Maps written by Christian Pommerenke and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the boundary behaviour of a conformal map of the unit disk onto an arbitrary simply connected plane domain. A principal aim of the theory is to obtain a one-to-one correspondence between analytic properties of the function and geometrie properties of the domain. In the classical applications of conformal mapping, the domain is bounded by a piecewise smooth curve. In many recent applications however, the domain has a very bad boundary. It may have nowhere a tangent as is the case for Julia sets. Then the conformal map has many unexpected properties, for instance almost all the boundary is mapped onto almost nothing and vice versa. The book is meant for two groups of users. (1) Graduate students and others who, at various levels, want to learn about conformal mapping. Most sections contain exercises to test the understand ing. They tend to be fairly simple and only a few contain new material. Pre requisites are general real and complex analyis including the basic facts about conformal mapping (e.g. AhI66a). (2) Non-experts who want to get an idea of a particular aspect of confor mal mapping in order to find something useful for their work. Most chapters therefore begin with an overview that states some key results avoiding tech nicalities. The book is not meant as an exhaustive survey of conformal mapping. Several important aspects had to be omitted, e.g. numerical methods (see e.g.
Author : Andrew Harrington
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (228 download)
Download or read book Conformal Mappings Onto Multiply Connected Regions with Specified Boundary Shapes: A Preliminary Discussion of Computer Implementation written by Andrew Harrington and published by . This book was released on 1982 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author describes a method of calculating conformal mappings of any given finitely connected region onto a region with arbitrarily specified boundary shapes. If the specified shapes are rectangles, than this method can be used to generate conformal grids which should be useful for numerical solution of many partial differential equations, for example in calculating the airflow past an airflow with flaps or the flow of cooling water past fuel pins in a nuclear reactor. He has proved that there exists a conformal mapping of any given finitely connected region onto a region with arbitrarily specified boundary shapes. The construction in the proof has been adapted for computer implementation. Some examples have been worked to determine the region bounded by circles which is the image of a given region in the extended complex plane under a conformal mapping taking infinity to infinity. A region whose outer boundary is a rectangle is mapped conformally to a region with all rectangular boundaries, and the vertices of the outer boundaries correspond. Mappings onto regions bounded by rectangles should be of considerable use in grid generation for numerical solution of partial differential equations. Grids have been calculated for one simple example. (Author).
Author : Institute for Numerical Analysis (U.S.)
Publisher :
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (31 download)
Download or read book Construction and Applications of Conformal Maps written by Institute for Numerical Analysis (U.S.) and published by . This book was released on 1952 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jia Wen Kam
Publisher :
ISBN 13 :
Total Pages : 62 pages
Book Rating : 4.:/5 (96 download)
Download or read book Solving Neumann Problem on a Simply Connected Region Using Conformal Mapping written by Jia Wen Kam and published by . This book was released on 2009 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Henrici
Publisher : John Wiley & Sons
ISBN 13 : 9780471589860
Total Pages : 660 pages
Book Rating : 4.5/5 (898 download)
Download or read book Applied and Computational Complex Analysis, Volume 3 written by Peter Henrici and published by John Wiley & Sons. This book was released on 1993-04-16 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents applications as well as the basic theory of analytic functions of one or several complex variables. The first volume discusses applications and basic theory of conformal mapping and the solution of algebraic and transcendental equations. Volume Two covers topics broadly connected with ordinary differental equations: special functions, integral transforms, asymptotics and continued fractions. Volume Three details discrete fourier analysis, cauchy integrals, construction of conformal maps, univalent functions, potential theory in the plane and polynomial expansions.
Author : Tarlok Nath Shorey
Publisher : Springer Nature
ISBN 13 : 9811590974
Total Pages : 287 pages
Book Rating : 4.8/5 (115 download)
Download or read book Complex Analysis with Applications to Number Theory written by Tarlok Nath Shorey and published by Springer Nature. This book was released on 2020-11-13 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, gamma function and harmonic functions.
