Author: Griffith Conrad Evans
Publisher: American Mathematical Soc.
ISBN:
Category : Mathematics
Languages : en
Pages : 172
Book Description
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.
The Logarithmic Potential, Discontinuous Dirichlet and Neumann Problems
Author: Griffith Conrad Evans
Publisher: American Mathematical Soc.
ISBN:
Category : Mathematics
Languages : en
Pages : 172
Book Description
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.
Publisher: American Mathematical Soc.
ISBN:
Category : Mathematics
Languages : en
Pages : 172
Book Description
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.
The Logarithmic Potential
The Logarithmic Potential
Author: Griffith Conrad Evans
Publisher:
ISBN:
Category :
Languages : en
Pages : 150
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 150
Book Description
The Logarithmic Potential, Discontinuous Dirichlet and Neumann Problems, by Griffith Conrad Evans
Author: Griffith Conrad Evans
Publisher:
ISBN: 9780598918482
Category :
Languages : en
Pages : 158
Book Description
Publisher:
ISBN: 9780598918482
Category :
Languages : en
Pages : 158
Book Description
The Logarithmic Potential Discontinuous Dirichlet and Neumann Problems
Author: Griffith Conrad Evans
Publisher:
ISBN: 9780828403054
Category : Dirichlet problem
Languages : en
Pages : 117
Book Description
Publisher:
ISBN: 9780828403054
Category : Dirichlet problem
Languages : en
Pages : 117
Book Description
The Logarithmic Potential
Author: Griffith Conrad Evans
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 174
Book Description
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.
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 174
Book Description
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.
The Logarithmic Potential and Other Monographs
Author: Griffith Conrad Evans
Publisher: American Mathematical Soc.
ISBN: 9780828403054
Category : Differential equations, Partial
Languages : en
Pages : 402
Book Description
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.
Publisher: American Mathematical Soc.
ISBN: 9780828403054
Category : Differential equations, Partial
Languages : en
Pages : 402
Book Description
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.
Encyclopaedia of Mathematics
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400959915
Category : Mathematics
Languages : en
Pages : 555
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9400959915
Category : Mathematics
Languages : en
Pages : 555
Book Description
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.
Encyclopaedia of Mathematics
Author: M. Hazewinkel
Publisher: Springer
ISBN: 1489937935
Category : Mathematics
Languages : en
Pages : 952
Book Description
Publisher: Springer
ISBN: 1489937935
Category : Mathematics
Languages : en
Pages : 952
Book Description
Foundations of Potential Theory
Author: Oliver Dimon Kellogg
Publisher: Springer Science & Business Media
ISBN: 3642867480
Category : Mathematics
Languages : en
Pages : 395
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 3642867480
Category : Mathematics
Languages : en
Pages : 395
Book Description
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.