W.E. Milne Collection, 19051981 PDF
Overview of the Collection
 Creator
 Milne, William Edmund, 1890
 Title
 W.E. Milne Collection
 Dates
 19051981 (inclusive)19051981
 Quantity
 0.8 cubic feet, (2 boxes and 1 map folder)
 Collection Number
 MSS Milne
 Summary
 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.
 Repository
 Oregon State University Libraries, Special Collections and Archives Research Center
Special Collections and Archives Research Center
121 The Valley Library
Oregon State University
Corvallis OR
973314501
Telephone: 5417372075
Fax: 5417378674
scarc@oregonstate.edu  Access Restrictions

Collection is open for research.
 Languages
 English, Russian
 Sponsor
 Funding for encoding this finding aid was provided through a grant awarded by the National Endowment for the Humanities.
Biographical NoteReturn to Top
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 19501951, 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.
Content DescriptionReturn to Top
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 OS3 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.
Use of the CollectionReturn to Top
Administrative InformationReturn to Top
Detailed Description of the CollectionReturn to Top
Last OS3 Console Log Page, 1981Return to Top
Container(s): Box 1
Publications by Milne, 19181953Return to Top
Container(s)  Description  Dates 

Transactions of the American
Mathematical Society (vol. 19, no. 2)

1918  
Box  
1 
On the degree of
convergence of Birkhoff's series


Bulletin of the National Research
Counci, no. 92

1933  
Box  
1 
Numerical Integration of
Differential Equations, Report of Committee on Numerical
Integration


American Mathematical
Monthly, vol. 49, no. 2

1942  
Box  
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  
Box  
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 RungeKutta
method. (v. 45, no. 3)

September 1950 
1 
Numerical determination
of characteristic numbers


Box  
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
Russian translation

1953 
Reprints of Publications by Milne, 19161960Return to Top
Container(s)  Description  Dates 

Box  
1 
Note on Removable
Singularities; reprinted from the Bulletin of the
Mathematical Society (v. 21, no. 3, pp. 116117)

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. 166169)

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. 2730)

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.
143156)

1918 
1 
Infinite Systems of
Functions; reprinted from the Bulletin of the American
Mathematical Society (v. 26, no. 7, pp. 294300)

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. 797802)


1 
On the Degree of Convergence
of the GramCharlier Series; reprinted from the "Transactions of the
American Mathematical Society (v. 31, no. 3, pp.
422443)

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. 907918)

1929 
1 
Numerical Determination of
Characteristic Numbers; reprinted from Physical
Review (v. 35, no. 7, pp. 863867)

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.
501511)

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. 537542)

1949 
1 
Note on the RungeKutta
Method; reprinted from the Journal of Research of the
National Bureau of Standards (v. 44, pp. 549550)

1950 
1 
Numerical Determination of
Characteristic Numbers; reprinted from the Journal of
Research of the National Bureau of Standards (v. 45, no. 3, pp.
245254)

1950 
1 
Review: Numerische Behandlung
Von Differentialgleichungen; reprinted from the American
Mathematical Society (v. 59, no. 1, pp. 9496)

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. 196203)

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. 4656)

1960 
Publications by Others, 19051969Return to Top
Container(s)  Description  Dates 

Box  
2 
RussianEnglish Vocabulary with a
Grammatical Sketch to be used in Reading Mathematical Papers by
American Mathematical Society

1950 
American Mathematical
Monthly


Box  
2 
(v. 64, no.
6)

JuneJuly, 1957 
2 
(v. 74, no.
1)

January, 1967 
Reprints of publications by
the following authors

19051969  
Box  
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 1960Return to Top
Container(s): Mapcase *
Names and SubjectsReturn to Top
 Subject Terms :
 Differential equationsNumerical solutions
 MathematicsStudy and teachingOregon