Kellogg, O. D. (Oliver Dimon) 1878
Overview
Works:  46 works in 186 publications in 2 languages and 1,821 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( )
 Harlow Shapley papers by Harlow Shapley( )
 Kellogg, Oliver Dimon( )
 Kellogg, Prof. O(liver) D(imon) : 18 Craigie St, Cambridge, Mass by James McKeen Cattell( )
Most widely held works by
O. D Kellogg
Foundations of potential theory by
O. D Kellogg(
Book
)
96 editions published between 1929 and 1983 in 3 languages and held by 1,395 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, 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
96 editions published between 1929 and 1983 in 3 languages and held by 1,395 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, 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
Applications of the calculus to mechanics by
E. R Hedrick(
Book
)
16 editions published between 1909 and 1992 in English and held by 126 WorldCat member libraries worldwide
16 editions published between 1909 and 1992 in English and held by 126 WorldCat member libraries worldwide
Zur theorie der Integralgleichungen und des Dirichlet'schen princips by
O. D Kellogg(
Book
)
10 editions published in 1902 in German and Undetermined and held by 39 WorldCat member libraries worldwide
10 editions published in 1902 in German and Undetermined and held by 39 WorldCat member libraries worldwide
The boundary values of potentials and their derivatives : their dependence on the boundry by
O. D Kellogg(
Book
)
5 editions published in 1935 in English and held by 11 WorldCat member libraries worldwide
5 editions published in 1935 in English and held by 11 WorldCat member libraries worldwide
Double distributions and the dirichlet problem by
O. D Kellogg(
Book
)
2 editions published in 1908 in English and held by 3 WorldCat member libraries worldwide
2 editions published in 1908 in English and held by 3 WorldCat member libraries worldwide
Potential functions on the boundary of their regions of definition by
O. D Kellogg(
Book
)
2 editions published in 1908 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1908 in English and held by 2 WorldCat member libraries worldwide
A necessary condition that all the roots of an algebraic equation be real by
O. D Kellogg(
Book
)
2 editions published in 1908 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1908 in English and held by 2 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
The oscillations of functions of an orthogonal set by
O. D Kellogg(
Book
)
2 editions published in 1916 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1916 in English and held by 2 WorldCat member libraries worldwide
Harmonic functions and Green's integral by
O. D Kellogg(
Book
)
2 editions published in 1912 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1912 in English and held by 2 WorldCat member libraries 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
Note on closure of orthogonal sets by
O. D Kellogg(
Book
)
1 edition published in 1920 in English and held by 1 WorldCat member library worldwide
1 edition published in 1920 in English and held by 1 WorldCat member library worldwide
On a diophantine problem by
O. D Kellogg(
Book
)
1 edition published in 1921 in English and held by 1 WorldCat member library worldwide
1 edition published in 1921 in English and held by 1 WorldCat member library worldwide
On bounded polynomials in several variables by
O. D Kellogg(
Book
)
1 edition published in 1927 in German and held by 1 WorldCat member library worldwide
1 edition published in 1927 in German and held by 1 WorldCat member library worldwide
Orthogonal function sets arising from integral equations by
O. D Kellogg(
Book
)
1 edition published in 1918 in English and held by 1 WorldCat member library worldwide
1 edition published in 1918 in English and held by 1 WorldCat member library worldwide
The boundary values of potential and their derivates their dependence on the boundary by
O. D Kellogg(
Book
)
1 edition published in 1935 in English and held by 1 WorldCat member library worldwide
1 edition published in 1935 in English and held by 1 WorldCat member library worldwide
On the existence and closure of the sets of characteristic functions by
O. D Kellogg(
Book
)
1 edition published in 1922 in English and held by 1 WorldCat member library worldwide
1 edition published in 1922 in English and held by 1 WorldCat member library worldwide
3043 (1923, 403 and 1924, 358) by
O. D Kellogg(
Book
)
1 edition published in 1924 in English and held by 1 WorldCat member library worldwide
1 edition published in 1924 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
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Related Identities
 Hedrick, E. R. (Earle Raymond) 18761943 Author
 Sullivan, Mildred M.
 United States Bureau of Standards
 Sullivan, Mildred Mary
 Havighurst, Robert J. (Robert James) 19001991
 Sopka, Katherine Russell
 Curie, Marie 18671934
 Lyman, Theodore 18741954
 Duane, William 18721935
 Bridgman, P. W. (Percy Williams) 18821961
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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 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, Mathematicians Mathematics Mechanics Mount Wilson Observatory Photometry Pickering, Edward C.(Edward Charles), Potential theory (Mathematics) Radcliffe College Radiation injuries RadiationMeasurement Russell, Henry Norris, Schlesinger, Frank, Slipher, Vesto Melvin, Spectrum analysis StarsGlobular clusters Trumpler, Robert J.(Robert Julius), United States United States.Bureau of Standards Variable stars Wellesley College Wilson, Edwin Bidwell, Women in science 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 matemàtic estatunidenc
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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