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Archives
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Oregon State University
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Phone: 541-737-2165
Email: archives@oregonstate.edu
Web:
http://osulibrary.oregonstate.edu/archives
MSS
Milne
Milne,
William Edmund, 1890-
W.E. Milne
Collection
1905-1981
0.8 cubic feet
2 boxes and 1 map folder
The W.E. Milne Collection documents Milne's mathematics research and consists primarily of Milne's research publications. Milne headed the Mathematics Department at Oregon State College from 1932 to 1955 and was a pioneer in numerical analysis and computer mathematics.
Materials in English and
Russian.
Biographical Note:
Mathematics Professor William Edmund (Ted) Milne headed the Mathematics
Department at Oregon State College from 1932 until 1955.
Born in Pendleton, Oregon, Milne earned an A.B. degree in Mathematics
from Whitman College in 1912 and A.M. and Ph.D. degrees from Harvard University
in 1913 and 1915. He served on the faculty of Bowdoin College from 1915 until
1918 and then spent one year during World War I working with a group of
mathematicians at Aberdeen Proving Ground on problems of ballistic path
calculations. In 1919 he returned to Oregon as a faculty member in mathematics
at the University of Oregon. In 1932, he became head of the Mathematics
Department at Oregon State College, a position he held until his retirement in
1955. In 1950-1951, he held a substitute position in the National Bureau of
Standards Institute for Numerical Analysis.
Milne was a pioneer in numerical analysis and computer mathematics and
was known around the world for the "Milne method" of solving differential
equations and for his three textbooks and many technical papers. He continued
his research after retirement and was awarded the OSU Distinguished Service
Award posthumously in June 1971. The Milne Computer Center was dedicated in his
name in April 1972.
The W.E. Milne Collection consists primarily of mathematical
publications (including reprints) by Milne. It also includes reprints of
publications by others sent to Milne; a portrait photograph of Milne; and the
final page of the console printer log from the OS-3 Operating System on the
Control Data Corp. 3300 computer which served Oregon State University from 1965
until 1981.
Of particular note among Milne's publications is the 1953 Russian
translation of his publication,
Numerical Solutions of Differential
Equations.
Collection is open for research.
W.E. Milne Collection, Oregon State University Archives, Corvallis,
Oregon.
These materials were transferred to the Archives from the Milne Computer
Center in 1996.
The Mathematics Department Records (RG 136) include Milne's general
correspondence from the 1930s. A detailed history of the Milne Family is
available in the Memorabilia Collection (MC - Milne, W.E. and Bessie, Family
History).
Mathematics--Study and
teaching--Oregon
Differential
equations--Numerical solutions
Science
Technology
Oregon
Photographs
1
Last OS-3 Console Log
Page
1981
Publications by Milne
1918-1953
Transactions of the American
Mathematical Society (vol. 19, no. 2)
1918
1
On the degree of
convergence of Birkhoff's series
Bulletin of the National Research
Counci, no. 92
1933
1
Numerical Integration of
Differential Equations, Report of Committee on Numerical
Integration
American Mathematical
Monthly, vol. 49, no. 2
1942
1
The Numerical Integration
of y" + g(x)y = f(x)
Journal of Research of the National
Bureau of Standards (v. 43, no. 5)
November 1949
1
The Remainder in Linear
Methods of Approximation. (v. 43, no. 6)
December 1949
1
A note on the numerical
integration of differential equations. (v. 44, no. 5)
May 1950
1
Note on the Runge-Kutta
method. (v. 45, no. 3)
September 1950
1
Numerical determination
of characteristic numbers
1
Table of Derivatives for Damped
Vibrations, Oregon State Monographs, Mathematics and Statistics Series,
Number 1
December 1935
1
Tables of Damped Vibrations,
University of Oregon Publication, Mathematics Series (v. 1, no. 1)
1929
1
Numerical Solution of Differential
Equations
1953
Russian translation
Reprints of Publications by
Milne
1916-1960
1
Note on Removable
Singularities; reprinted from the Bulletin of the
Mathematical Society (v. 21, no. 3, pp. 116-117)
1914
1
Note on Asymptotic
Expressions in the Theory of Linear Differential Equations; reprinted from the
Bulletin of the American Mathematical Society (v.
23, no. 4, pp. 166-169)
1916
1
On Certain Asymptotic
Expressions in the Theory of Linear Differential Equations; reprinted from the
Proceedings of the National Academy of Sciences
(v. 2, pp. 543)
1916
1
Second Note on Removable
Singularities; reprinted from the Bulletin of the
American Mathematical Society (v. 23, no. 1, pp. 27-30)
1916
1
On the Degree of Convergence
of Birkhoff's Series; reprinted from the Transactions of
the American Mathematical Society (v. 19, no. 2, pp.
143-156)
1918
1
Infinite Systems of
Functions; reprinted from the Bulletin of the American
Mathematical Society (v. 26, no. 7, pp. 294-300)
1920
1
A Theorem of Oscillation;
reprinted from the Bulletin of the American Mathematical
Society (v. 28, no.3)
1922
1
Numerical Integration of
Ordinary Differential Equations; reprinted from The
American Mathematical Monthly (v. 33, no. 9)
1926
1
Note on the Smoothing of
Curves; reprinted from The American Mathematical
Monthly (v. 34, no. 5)
1927
1
The Behavior of a Boundary
Value Problem As the Interval Becomes Infinite; reprinted from the
Transactions of the American Mathematical Society
(v. 30, no. 4, pp. 797-802)
1
On the Degree of Convergence
of the Gram-Charlier Series; reprinted from the "Transactions of the
American Mathematical Society (v. 31, no. 3, pp.
422-443)
1929
1
On the Degree of Convergence
of Expansions in an Infinite Interval; reprinted from the Transactions of the American Mathematical Society (v.
31, no. 4, pp. 907-918)
1929
1
Numerical Determination of
Characteristic Numbers; reprinted from Physical
Review (v. 35, no. 7, pp. 863-867)
1930
1
On the Numerical Integration
of Certain Differential Equations of the Second Order; reprinted from the
American Mathematical Monthly (v. 40, no.
6)
1933
1
Analysis of Border
Irrigation; reprinted from Agricultural
Engineering (v. 19, no. 6)
1938
1
The Numerical Integration of
y"+ g(x)y=f(x); reprinted from the American Mathematical
Monthly (v. 49, no. 2)
1942
1
The Remainder in Linear
Methods of Approximation; reprinted from the Journal of
Research of the National Bureau of Standards (v. 43, pp.
501-511)
1949
1
A Note on the Numerical
Integration of Differential Equations; reprinted from the Journal of Research of the National Bureau of Standards
(v. 43, pp. 537-542)
1949
1
Note on the Runge-Kutta
Method; reprinted from the Journal of Research of the
National Bureau of Standards (v. 44, pp. 549-550)
1950
1
Numerical Determination of
Characteristic Numbers; reprinted from the Journal of
Research of the National Bureau of Standards (v. 45, no. 3, pp.
245-254)
1950
1
Review: Numerische Behandlung
Von Differentialgleichungen; reprinted from the American
Mathematical Society (v. 59, no. 1, pp. 94-96)
1953
1
The Error of the Trapezoidal
Formula; abstract from the Proceedings of the
International Mathematical Congress Amsterdam
1954
1
Review: Numerische Behandlung
Von Differentialgleichungen; reprinted from the Bulletin
of the American Mathematical Society (v. 62, no. 1, pp. 74)
1956
1
Stability of a Numerical
Solution of Differential Equations; reprinted from Journal of the Association for Computing Machinery (v.
6. no. 2, pp. 196-203)
1959
1
Stability of a Numerical
Solution of Differential Equations - Part II; reprinted from
Journal of the Association for Computing Machinery
(v. 7, no. 1, pp. 46-56)
1960
Publications by
Others
1905-1969
2
Russian-English Vocabulary with a
Grammatical Sketch to be used in Reading Mathematical Papers by
American Mathematical Society
1950
American Mathematical
Monthly
2
(v. 64, no.
6)
June-July, 1957
2
(v. 74, no.
1)
January, 1967
Reprints of publications by
the following authors
1905-1969
2
Adams, Edwin
Plimpton
2
Bickley, W.G.
2
Birkhoff, George
D.
2
Bucherer,
A.H.
2
Cairns, W.D.
2
Carmichael,
R.D.
2
Carslaw, H.S.
2
Dantzig,
Tobias
2
Davis, D.R.
2
Davis, H.T.
2
Day, Mahlon
M.
2
Douglass, Raymond
D.
2
Eells, Walter
C.
2
Ford, Lester
R.
2
Franklin,
Philip
2
Hancock,
Harris
2
Hayashi,
Kenji
2
Jackson,
Dunham
2
Mizumoto,
Hisao
2
Moore, Charles
N.
2
Moritz, Robert
E.
2
Olds, Edwin
G.
2
Runge, C.
2
Schoenberg,
I.J.
2
Schulz,
Gunther
2
Shimizu,
Tatsujiro
2
Tamarkin,
J.D.
2
Stromgren,
Elis
*
Portrait Photograph of W.E.
Milne
circa
1960