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The Logarithmic Potential Discontinuous Dirichlet And Neumann Problems
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Book Synopsis The Logarithmic Potential by : Griffith Conrad Evans
Download or read book The Logarithmic Potential written by Griffith Conrad Evans and published by . This book was released on 1927 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies fundamental properties of the logarithmic potential and their connections to the theory of Fourier series, to potential theory, and to function theory. The material centers around a study of Poisson's integral in two dimensions and of the corresponding Stieltjes integral. The results are then extended to the integrals in terms of Green's functions for general regions. There are some thirty exercises scattered throughout the text. These are designed in part to familiarize the reader with the concepts introduced, and in part to complement the theory. The reader should know something of potential theory, functions of a complex variable, and Lebesgue integrals. The book is based on lectures given by the author in 1924-1925 at the Rice Institute and at the University of Chicago.
Book Synopsis The Logarithmic Potential, Discontinuous Dirichlet and Neumann Problems by : Griffith Conrad Evans
Download or read book The Logarithmic Potential, Discontinuous Dirichlet and Neumann Problems written by Griffith Conrad Evans and published by American Mathematical Soc.. This book was released on 1927 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies fundamental properties of the logarithmic potential and their connections to the theory of Fourier series, to potential theory, and to function theory. This book contains material that centers around a study of Poisson's integral in two dimensions and of the corresponding Stieltjes integral.
Book Synopsis The Logarithmic Potential by : Griffith C. Evans
Download or read book The Logarithmic Potential written by Griffith C. Evans and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Logarithmic Potential by : Griffith Conrad Evans
Download or read book The Logarithmic Potential written by Griffith Conrad Evans and published by . This book was released on 1927 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Logarithmic Potential and Other Monographs by : Griffith Conrad Evans
Download or read book The Logarithmic Potential and Other Monographs written by Griffith Conrad Evans and published by American Mathematical Soc.. This book was released on 1980 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains the following monographs: The Logarithmic Potential by Evans Fundamental Existence Theorems by Bliss Differential-Geometric Aspects of Dynamics by Kasner All three monographs were originally published by the AMS and are now available in this single volume from AMS Chelsea Publishing.
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia 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 subdivi sion 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 mathematics 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, en gineers 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.
Book Synopsis Encyclopaedia of Mathematics by : M. Hazewinkel
Download or read book Encyclopaedia of Mathematics written by M. Hazewinkel and published by Springer. This book was released on 2013-11-11 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Potential Theory by : Oliver Dimon Kellogg
Download or read book Foundations of Potential Theory written by Oliver Dimon Kellogg and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume gives a systematic treatment of potential functions. It takes its origin in two courses, one elementary and one advanced, which the author has given at intervals during the last ten years, and has a two-fold purpose: first, to serve as an introduction for students whose attainments in the Calculus include some knowledge of partial derivatives and multiple and line integrals; and secondly, to provide the reader with the fundamentals of the subject, so that he may proceed immediately to the applications, or to the periodical literature of the day. It is inherent in the nature of the subject that physical intuition and illustration be appealed to freely, and this has been done. However, that the book may present sound ideals to the student, and in order also serve the mathematician, both for purposes of reference and as a basis for further developments, the proofs have been given by rigorous methods. This has led, at a number of points, to results either not found elsewhere, or not readily accessible. Thus, Chapter IV contains a proof for the general regular region of the divergence theorem (Gauss', or Green's theorem) on the reduction of volume to surface integrals. The treatment of the fundamental existence theorems in Chapter XI by means of integral equations meets squarely the difficulties incident to ·the discontinuity of the kernel, and the same chapter gives an account of the most recent developments with respect to the Dirichlet problem.
Book Synopsis Application of the Theory of Linear Operators in Hilbert Space to Potential Theory by : E. J. Specht
Download or read book Application of the Theory of Linear Operators in Hilbert Space to Potential Theory written by E. J. Specht and published by . This book was released on 1957 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin of the American Mathematical Society by : American Mathematical Society
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1927 with total page 892 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Serie trigonometriche by : Leonida Tonelli
Download or read book Serie trigonometriche written by Leonida Tonelli and published by . This book was released on 1928 with total page 542 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Ebook: Complex Variables and Applications by : Ruel Churchill
Download or read book Ebook: Complex Variables and Applications written by Ruel Churchill and published by McGraw Hill. This book was released on 2014-10-16 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Variables and Applications, 9e will serve, just as the earlier editions did, as a textbook for an introductory course in the theory and application of functions of a complex variable. This new edition preserves the basic content and style of the earlier editions. The text is designed to develop the theory that is prominent in applications of the subject. You will find a special emphasis given to the application of residues and conformal mappings. To accommodate the different calculus backgrounds of students, footnotes are given with references to other texts that contain proofs and discussions of the more delicate results in advanced calculus. Improvements in the text include extended explanations of theorems, greater detail in arguments, and the separation of topics into their own sections.
Book Synopsis Semi-Groups of Operators and Approximation by : Paul Leo Butzer
Download or read book Semi-Groups of Operators and Approximation written by Paul Leo Butzer and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years important progress has been made in the study of semi-groups of operators from the viewpoint of approximation theory. These advances have primarily been achieved by introducing the theory of intermediate spaces. The applications of the theory not only permit integration of a series of diverse questions from many domains of mathematical analysis but also lead to significant new results on classical approximation theory, on the initial and boundary behavior of solutions of partial differential equations, and on the theory of singular integrals. The aim of this book is to present a systematic treatment of semi groups of bounded linear operators on Banach spaces and their connec tions with approximation theoretical questions in a more classical setting as well as within the setting of the theory of intermediate spaces. However, no attempt is made to present an exhaustive account of the theory of semi-groups of operators per se, which is the central theme of the monumental treatise by HILLE and PHILLIPS (1957). Neither has it been attempted to give an account of the theory of approximation as such. A number of excellent books on various aspects of the latter theory has appeared in recent years, so for example CHENEY (1966), DAVIS (1963), LORENTZ (1966), MEINARDUS (1964), RICE (1964), SARD (1963). By contrast, the present book is primarily concerned with those aspects of semi-group theory that are connected in some way or other with approximation.
Book Synopsis Chiral Algebras by : Alexander Beilinson
Download or read book Chiral Algebras written by Alexander Beilinson and published by American Mathematical Soc.. This book was released on 2004 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This long-awaited publication contains the results of the research of two distinguished professors from the University of Chicago, Alexander Beilinson and Fields Medalist Vladimir Drinfeld. Years in the making, this is a one-of-a-kind book featuring previously unpublished material. Chiral algebras form the primary algebraic structure of modern conformal field theory. Each chiral algebra lives on an algebraic curve, and in the special case where this curve is the affine line, chiral algebras invariant under translations are the same as well-known and widely used vertex algebras. The exposition of this book covers the following topics: the ``classical'' counterpart of the theory, which is an algebraic theory of non-linear differential equations and their symmetries; the local aspects of the theory of chiral algebras, including the study of some basic examples, such as the chiral algebras of differential operators; the formalism of chiral homology treating ``the space of conformal blocks'' of the conformal field theory, which is a ``quantum'' counterpart of the space of the global solutions of a differential equation. The book is intended for researchers working in algebraic geometry and its applications to mathematical physics and representation theory.
Book Synopsis Orthogonal Polynomials on the Unit Circle: Spectral theory by : Barry Simon
Download or read book Orthogonal Polynomials on the Unit Circle: Spectral theory written by Barry Simon and published by American Mathematical Soc.. This book was released on 2005 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an overview of the theory of probability measures on the unit circle, viewed especially in terms of the orthogonal polynomials defined by those measures. This book discusses topics such as asymptotics of Toeplitz determinants (Szego's theorems), and limit theorems for the density of the zeros of orthogonal polynomials.
Book Synopsis List of Officers and Members by : American Mathematical Society
Download or read book List of Officers and Members written by American Mathematical Society and published by . This book was released on 1928 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Complex Variables by : Foluso Ladeinde
Download or read book Applications of Complex Variables written by Foluso Ladeinde and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-05-06 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of applied complex variables is so fundamental that most of the other topics in advanced engineering mathematics (AEM) depend on it. The present book contains complete coverage of the subject, summarizing the more elementary aspects that you find in most AEM textbooks and delving into the more specialized topics that are less commonplace. The book represents a one-stop reference for complex variables in engineering analysis. The applications of conformal mapping in this book are significantly more extensive than in other AEM textbooks. The treatments of complex integral transforms enable a much larger class of functions that can be transformed, resulting in an expanded use of complex-transform techniques in engineering analysis. The inclusion of the asymptotics of complex integrals enables the analysis of models with irregular singular points. The book, which has more than 300 illustrations, is generous with realistic example problems.
