Kellogg, O. D. (Oliver Dimon) 1878
Overview
Works:  27 works in 152 publications in 3 languages and 1,736 library holdings 

Roles:  Author 
Classifications:  QA825, 531.51 
Publication Timeline
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Most widely held works about
O. D Kellogg
 Oral history interview with Alice Armstrong by Alice H Armstrong( )
 Kellogg, Prof. O(liver) D(imon) : 18 Craigie St, Cambridge, Mass by James McKeen Cattell( )
 Harlow Shapley papers by Harlow Shapley( )
Most widely held works by
O. D Kellogg
Foundations of potential theory by
O. D Kellogg(
Book
)
101 editions published between 1929 and 2012 in 4 languages and held by 1,394 WorldCat member libraries worldwide
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 twofold 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
101 editions published between 1929 and 2012 in 4 languages and held by 1,394 WorldCat member libraries worldwide
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 twofold 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
Applications of the calculus to mechanics by
E. R Hedrick(
Book
)
16 editions published between 1909 and 1992 in English and held by 128 WorldCat member libraries worldwide
16 editions published between 1909 and 1992 in English and held by 128 WorldCat member libraries worldwide
Zur theorie der Integralgleichungen und des Dirichlet'schen princips by
O. D Kellogg(
Book
)
9 editions published in 1902 in German and Undetermined and held by 37 WorldCat member libraries worldwide
9 editions published in 1902 in German and Undetermined and held by 37 WorldCat member libraries worldwide
The boundary values of potentials and their derivatives : their dependence on the boundry by
O. D Kellogg(
Book
)
4 editions published in 1935 in English and held by 11 WorldCat member libraries worldwide
4 editions published in 1935 in English and held by 11 WorldCat member libraries worldwide
Foundations of potential theory by
O. D Kellogg(
)
1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1967 in English and held by 2 WorldCat member libraries worldwide
Double distributions and the dirichlet problem by
O. D Kellogg(
Book
)
1 edition published in 1908 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1908 in English and held by 2 WorldCat member libraries worldwide
On a differential equation in the theory of alternating currents by
O. D Kellogg(
Book
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Potential functions on the boundary of their regions of definition by
O. D Kellogg(
Book
)
1 edition published in 1908 in English and held by 1 WorldCat member library worldwide
1 edition published in 1908 in English and held by 1 WorldCat member library worldwide
Two theorems in the geometry of continuously turning curves by
O. D Kellogg(
Book
)
1 edition published in 1908 in English and held by 1 WorldCat member library worldwide
1 edition published in 1908 in English and held by 1 WorldCat member library worldwide
Note on Cauchy's integral by
O. D Kellogg(
Book
)
1 edition published in 1904 in English and held by 1 WorldCat member library worldwide
1 edition published in 1904 in English and held by 1 WorldCat member library worldwide
Necessary condition that all the roots of an algebraic equation be real by
O. D Kellogg(
Book
)
1 edition published in 1908 in English and held by 1 WorldCat member library worldwide
1 edition published in 1908 in English and held by 1 WorldCat member library worldwide
The oscillations of functions of an orthogonal set by
O. D Kellogg(
Book
)
1 edition published in 1916 in English and held by 1 WorldCat member library worldwide
1 edition published in 1916 in English and held by 1 WorldCat member library worldwide
Foundations of potential theory by
O. D Kellogg(
)
in English and held by 1 WorldCat member library worldwide
in English and held by 1 WorldCat member library worldwide
Harmonic functions and Green's integral by
O. D Kellogg(
Book
)
1 edition published in 1912 in English and held by 1 WorldCat member library worldwide
1 edition published in 1912 in English and held by 1 WorldCat member library worldwide
Note on conjugate potentials by
O. D Kellogg(
Book
)
1 edition published in 1907 in English and held by 1 WorldCat member library worldwide
1 edition published in 1907 in English and held by 1 WorldCat member library worldwide
An example in potential theory by
O. D Kellogg(
Book
)
1 edition published in 1923 in English and held by 1 WorldCat member library worldwide
1 edition published in 1923 in English and held by 1 WorldCat member library worldwide
The second edition of the HurwitzCourant funktionentheorie by
O. D Kellogg(
Book
)
1 edition published in 1926 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1926 in English and held by 0 WorldCat member libraries worldwide
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Related Identities
 Hedrick, E. R. (Earle Raymond) 18761943 Author
 Sullivan, Mildred M.
 Sullivan, Mildred Mary
 Baker, Robert Horace 1883
 Curie, Marie 18671934
 Schlesinger, Frank 18711943
 Cattell, James McKeen 18601944 Author
 Havighurst, Robert J. (Robert James) 19001991
 Sopka, Katherine Russell
 Gale, Henry Gordon 18741942
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Associated Subjects
Aitken, Robert Grant, Astronomical observatories Astronomy Bailey, Solon I.(Solon Irving), Baker, Robert Horace, Biography Boundary value problems Bridgman, P. W.(Percy Williams), Calculus Campbell, William Wallace, Coolidge, Julian Lowell, Cosmology Curie, Marie, Duane, William, Eclipsing binaries Eddington, Arthur Stanley,Sir, Educators Electric currents, Alternating Galaxies Gale, Henry Gordon, Hale, George Ellery, Harvard College Observatory Havighurst, Robert J.(Robert James), Hertzsprung, Ejnar, Integral equations Kapteyn, J. C.(Jacobus Cornelius), Kellogg, O. D.(Oliver Dimon), Lyman, Theodore, Mathematics Mechanics Mechanics, Analytic Mount Wilson Observatory Photometry Pickering, Edward C.(Edward Charles), Potential theory (Mathematics) Radcliffe College Radiation injuries RadiationMeasurement Russell, Henry Norris, Schlesinger, Frank, Seares, Frederick Hanley, Slipher, Vesto Melvin, Spectrum analysis StarsGlobular clusters Trumpler, Robert J.(Robert Julius), United States.Bureau of Standards Variable stars Wellesley College Wilson, Edwin Bidwell, Yerkes, Robert M.(Robert Mearns),
Alternative Names
Kellogg, O. D.
Kellogg, O. D. 18781932
Kellogg, O. D. b. 1878
Kellogg, O. D. (Oliver Dimon), b. 1878
Kellogg, Oliver D.
Kellogg, Oliver Dimon 1878
Kellogg, Oliver Dimon 18781932
Oliver Dimon Kellogg Amerikaans wiskundige (18781932)
Oliver Dimon Kellogg amerikansk matematikar
Oliver Dimon Kellogg amerikansk matematiker
Oliver Dimon Kellogg matemático estadounidense
Oliver Dimon Kellogg matemático estadunidense
Oliver Dimon Kellogg matematico statunitense
Oliver Dimon Kellogg mathématicien américain
Oliver Kellogg USamerikanischer Mathematiker
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