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Dirichlet Problem, Extremal Length, and Prime Ends

Dirichlet Problem, Extremal Length, and Prime Ends PDF Author: Makoto Ohtsuka
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 342

Book Description

Dirichlet Problem, Extremal Length, and Prime Ends

Dirichlet Problem, Extremal Length, and Prime Ends PDF Author: Makoto Ohtsuka
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 342

Book Description

Dirichlet Problem, Extremal Length, and Prime Ends

Dirichlet Problem, Extremal Length, and Prime Ends PDF Author: Makoto Ohtsuka
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 352

Book Description

Encyclopaedia of Mathematics (set)

Encyclopaedia of Mathematics (set) PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9781556080104
Category : Mathematics
Languages : en
Pages : 982

Book Description
The Encyclopaedia of Mathematics is the most up-to-date, authoritative and comprehensive English-language work of reference in mathematics which exists today. With over 7,000 articles from `A-integral' to `Zygmund Class of Functions', supplemented with a wealth of complementary information, and an index volume providing thorough cross-referencing of entries of related interest, the Encyclopaedia of Mathematics offers an immediate source of reference to mathematical definitions, concepts, explanations, surveys, examples, terminology and methods. The depth and breadth of content and the straightforward, careful presentation of the information, with the emphasis on accessibility, makes the Encyclopaedia of Mathematics an immensely useful tool for all mathematicians and other scientists who use, or are confronted by, mathematics in their work. The Enclyclopaedia of Mathematics provides, without doubt, a reference source of mathematical knowledge which is unsurpassed in value and usefulness. It can be highly recommended for use in libraries of universities, research institutes, colleges and even schools.

Extremal Problems for Logarithmic Capacity and Extremal Length

Extremal Problems for Logarithmic Capacity and Extremal Length PDF Author: Robert E. Thurman
Publisher:
ISBN:
Category :
Languages : en
Pages : 134

Book Description

Extremal Length and Precise Functions

Extremal Length and Precise Functions PDF Author: Makoto Ohtsuka
Publisher:
ISBN:
Category : Extremal problems (Mathematics)
Languages : en
Pages : 364

Book Description

Discrepancy of Signed Measures and Polynomial Approximation

Discrepancy of Signed Measures and Polynomial Approximation PDF Author: Vladimir V. Andrievskii
Publisher: Springer Science & Business Media
ISBN: 1475749996
Category : Mathematics
Languages : en
Pages : 444

Book Description
A concise outline of the basic facts of potential theory and quasiconformal mappings makes this book an ideal introduction for non-experts who want to get an idea of applications of potential theory and geometric function theory in various fields of construction analysis.

Handbook of Complex Analysis

Handbook of Complex Analysis PDF Author: Reiner Kuhnau
Publisher: Elsevier
ISBN: 0080532810
Category : Mathematics
Languages : en
Pages : 549

Book Description
Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.· A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)

Nonlinear Potential Theory of Degenerate Elliptic Equations

Nonlinear Potential Theory of Degenerate Elliptic Equations PDF Author: Juha Heinonen
Publisher: Courier Dover Publications
ISBN: 0486830462
Category : Mathematics
Languages : en
Pages : 417

Book Description
A self-contained treatment appropriate for advanced undergraduates and graduate students, this text offers a detailed development of the necessary background for its survey of the nonlinear potential theory of superharmonic functions. 1993 edition.

Harmonic Measure

Harmonic Measure PDF Author: John B. Garnett
Publisher: Cambridge University Press
ISBN: 1139443097
Category : Mathematics
Languages : en
Pages : 4

Book Description
During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, Makarov, Wolff and others, appear here in paperback for the first time. The book is accessible to students who have completed standard graduate courses in real and complex analysis. The first four chapters provide the needed background material on univalent functions, potential theory, and extremal length, and each chapter has many exercises to further inform and teach the readers.

Encyclopaedia of Mathematics

Encyclopaedia of Mathematics PDF Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 940096000X
Category : Mathematics
Languages : en
Pages : 517

Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathematics. It is a translation with updates and editorial comments of the Soviet Mathematical En cyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977 - 1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivision has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathe matics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, engineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
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