Descriptive Summary
Lane, Ralph E.,
1911-1962.
Ralph E. Lane
Papers
1940-1969, 1991 and undated
2003-036
7 in.
Dolph Briscoe Center for American
History, The University of Texas at
Austin
This collection
documents the research and teaching of Ralph E. Lane (1911-1962) at the
University of Texas at Austin Department of Mathematics and Military Physics
Research Laboratory.
Materials are written in English.
Biographical Note
Ralph E. Lane (1911-1962) was a statistician and professor at the University
of Texas at Austin. From 1933 to 1947 Lane worked for Flitcraft Inc., first
as a statistician and then vice president. Lane received his Ph.D. from the
University of Texas at Austin in 1950 and continued to teach at the University
where he remained until his death in 1962.

Scope and Contents
This collection documents the research and teaching of Ralph E. Lane
at the University of Texas at Austin Department of Mathematics and
Military Physics Research Laboratory. The papers consist of manuscripts,
technical reports, and teaching notes reflecting Lane's interest in
integration, probability and statistics, linear operators, and number theory.

Forms part of the Archives of American Mathematics.

Access Restrictions
Restricted access. Access to student grades in this collection is
restricted. All other materials are open.

Use Restrictions
This collection is stored remotely at CDL. Advance notice required
for retrieval. Contact repository for retrieval.

Preferred Citation
Ralph E. Lane Papers, 1940-1969, 1991 and undated, Archives of
American Mathematics, Dolph Briscoe Center for American History, University of Texas at
Austin.

Index Terms
Subjects
Lane, Ralph E., 1911-1962 --
Archives.
University of Texas at Austin. Dept. of
Mathematics.
Linear operators.
Mathematics -- Study and teaching --
United States.
Number theory.
Probability and statistics.
Detailed Description of the Collection
Correspondence:
2003-036/1
Land-Air Inc., [includes notes],
1959-1961
2003-036/1
Letter from Katherine Lane describing passive solar
house, one of the first in Austin,
1991
Manuscripts:
2003-036/1
"The Fifth Rational Operation," [includes letter from
Lane to unidentified man],
1940 and
undated
2003-036/1
"Foundations of a System of Numbers," "The First Four
Rational Operations,"
January 1940 and
undated
2003-036/1
"Foundations of the Number Systems,"
February 22,
1941
2003-036/1
"The First Three Rational Operations, "Absolute
Convergence of Continued Fractions" [includes corrected proofs],
undated
2003-036/1
"The First Four Rational Operations," handwritten
manuscript,
undated
2003-036/1
"Mathematics and American Universities," "Mathematicians
and Their Education,"
undated
Reports:
2003-036/1
Military Physics Research Laboratory (MPRL) at the
University of Texas:
2003-036/1
Reports by Lane and others,
1958-1962
2003-036/1
Material on low pais operators and spectral analysis,
1958-1959 and
undated
2003-036/1
U. S. Army Mathematics Research Center, report by Lane,
November 1963
2003-036/1
References, articles and other material,
undated
Notes:
2003-036/1
Chinese abacus, slide rules, etc.,
undated
2003-036/1
"Lab," mathematical notes and drawings,
undated
2003-036/1
Dissertation, "Sequences of Points in the Complex Plane,"
1950
Professional:
2003-036/1
Correspondence, printed material, teaching preferences,
lists of definitions and terms, resume, class problems, etc.,
1957-1963 and
undated
2003-036/1
"Social Security Calculator" slide rule,
ca. 1940
Teaching materials:
2003-036/2
Calculus, 3.1-3.3,
undated
2003-036/2
Functions 1,
undated
2003-036/2
Functions 2,
undated
2003-036/2
Functions 3,
undated
2003-036/2
Integrals 1,
undated
2003-036/2
Integrals 2,
undated
2003-036/2
Number systems 2,
undated
2003-036/2
Stieltjes integrals,
undated
2003-036/2
"Course Records," "2. Matrices" page 3 and 4, "M.321 3.1
3. Functions and Graphs…,"
undated
2003-036/2
"Mr. Barthel," M645b, M678b,
May 31, 1966
[?]
2003-036/2
M321.1, 1.1, 1.2, 4.3, project,
undated
2003-036/2
366.1, "1. Differences," "Problems,"
undated
2003-036/2
M645b, "Continued Fraction Expansions for the
Exponential Function, "Continued Fraction Expansions for the Probability
Integral," "Lemma 2.6…,"
undated
2003-036/2
646.5, "4. Q Transformations…," "Theorem
5.3…," "Lemma 3.2a…," "Theorem 2.5…," "M613, p.3.1,
Problems…," "Trigonometric Functions," "Properties of the Exponential,"
"M.321, 4.1, 4. Integrals…,"
undated
2003-036/2
676 [?], "Algebra of Points in the Plane," "Operators
for Smoothing Data…," "2. Some properties of q operators…,"
December 1955 and
undated
2003-036/2
M678a, "9. Independently distributed chance variables,"
undated
Restricted:
2003-036/2
Student grades,
1959-1969