Articoli correlati a Foundations of Potential Theory: 31
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, in order that the book may present sound ideals to the student, and 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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Contenuti:
I The Force of Gravity.- II Fields of Force.- III The Potential.- IV The Divergence Theorem..- V. Properties of Newtonian Potentials at Points of Free Space.- VI. Properties of Newtonian Potentials at Points Occupied by Masses.- VII. Potentials as Solutions of Laplace’s Equation; Electrostatics.- VIII Harmonie Functions.- IX Electric Images; Green’s Function.- X Sequences of Harmonie Functions.- XI Fundamental Existence Theorems..- XII The Logarithmic Potential.- Bibliographical Notes.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreSpringer Verlag
- Data di pubblicazione1929
- ISBN 10 3642889956
- ISBN 13 9783642889950
- RilegaturaCopertina flessibile
- Numero di pagine396
- RedattoreCourant R.
Compra nuovo
Scopri di più su questo articolo
EUR 53,74
Spese di spedizione:
GRATIS
In U.S.A.
Altre edizioni note dello stesso titolo
I migliori risultati di ricerca su AbeBooks
Immagini fornite dal venditore
Foundations of Potential Theory (Grundlehren der mathematischen Wissenschaften (31)) by Dimon Kellogg, Oliver [Paperback ]
Da:
Valutazione libreria
Descrizione libro Soft Cover. Condizione: new. Codice articolo 9783642889950
Compra nuovo
EUR 53,74
Convertire valuta
Foto dell'editore
Foundations of Potential Theory (Grundlehren der mathematischen Wissenschaften, 31)
Da:
Valutazione libreria
Descrizione libro Condizione: New. Codice articolo ABLIING23Mar3113020238797
Compra nuovo
EUR 57,04
Convertire valuta
Foto dell'editore
Foundations of Potential Theory
Print on Demand
Da:
Valutazione libreria
Descrizione libro Condizione: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Codice articolo ria9783642889950_lsuk
Compra nuovo
EUR 60,42
Convertire valuta
Immagini fornite dal venditore
Foundations of Potential Theory
Editore:
Springer Berlin Heidelberg
(1929)
ISBN 10: 3642889956
ISBN 13: 9783642889950
Nuovo
Taschenbuch
Quantità: 1
Da:
Valutazione libreria
Descrizione libro Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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, in order that the book may present sound ideals to the student, and 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. Codice articolo 9783642889950
Compra nuovo
EUR 59,51
Convertire valuta
Immagini fornite dal venditore
Foundations of Potential Theory
Editore:
Springer Berlin Heidelberg
(1929)
ISBN 10: 3642889956
ISBN 13: 9783642889950
Nuovo
Brossura
Quantità: > 20
Da:
Valutazione libreria
Descrizione libro Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. I The Force of Gravity.- II Fields of Force.- III The Potential.- IV The Divergence Theorem.- V. Properties of Newtonian Potentials at Points of Free Space.- VI. Properties of Newtonian Potentials at Points Occupied by Masses.- VII. Potentials as Solutions. Codice articolo 5073368
Compra nuovo
EUR 48,37
Convertire valuta
Immagini fornite dal venditore
Foundations of Potential Theory
Editore:
Springer Berlin Heidelberg Jan 1929
(1929)
ISBN 10: 3642889956
ISBN 13: 9783642889950
Nuovo
Taschenbuch
Quantità: 2
Da:
Valutazione libreria
Descrizione libro Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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, in order that the book may present sound ideals to the student, and 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. 396 pp. Englisch. Codice articolo 9783642889950
Compra nuovo
EUR 85,55
Convertire valuta