Descriptive Summary
Lane, Ralph E.,
1911-1962.
Ralph E. Lane
Papers
1940-1969, 1991 and undated
2003-036
7 in.
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.
English.
Biographical Note
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
(1911-1962) 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
Collection stored offsite at the Collections Deposit Library. Please
allow 48 hours for retrieval.
Preferred Citation
Ralph E. Lane Papers, 1940-1969, 1991 and undated, Archives of
American Mathematics, Center for American History, The 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:
1
Land-Air Inc., [includes notes],
1959-1961
1
Letter from Katherine Lane describing passive solar
house, one of the first in Austin,
1991
Manuscripts:
1
"The Fifth Rational Operation," [includes letter from
Lane to unidentified man],
1940 and
undated
1
"Foundations of a System of Numbers," "The First Four
Rational Operations,"
January 1940 and
undated
1
"Foundations of the Number Systems,"
February 22,
1941
1
"The First Three Rational Operations, "Absolute
Convergence of Continued Fractions" [includes corrected proofs],
undated
1
"The First Four Rational Operations," handwritten
manuscript,
undated
1
"Mathematics and American Universities," "Mathematicians
and Their Education,"
undated
Reports:
1
Military Physics Research Laboratory (MPRL) at the
University of Texas:
1
Reports by Lane and others,
1958-1962
1
Material on low pais operators and spectral analysis,
1958-1959 and
undated
1
U. S. Army Mathematics Research Center, report by Lane,
November 1963
1
References, articles and other material,
undated
Notes:
1
Chinese abacus, slide rules, etc.,
undated
1
"Lab," mathematical notes and drawings,
undated
1
Dissertation, "Sequences of Points in the Complex Plane,"
1950
Professional:
1
Correspondence, printed material, teaching preferences,
lists of definitions and terms, resume, class problems, etc.,
1957-1963 and
undated
1
"Social Security Calculator" slide rule,
ca. 1940
Teaching materials:
2
Calculus, 3.1-3.3,
undated
2
Functions 1,
undated
2
Functions 2,
undated
2
Functions 3,
undated
2
Integrals 1,
undated
2
Integrals 2,
undated
2
Number systems 2,
undated
2
Stieltjes integrals,
undated
2
"Course Records," "2. Matrices" page 3 and 4, "M.321 3.1
3. Functions and Graphs…,"
undated
2
"Mr. Barthel," M645b, M678b,
May 31, 1966
[?]
2
M321.1, 1.1, 1.2, 4.3, project,
undated
2
366.1, "1. Differences," "Problems,"
undated
2
M645b, "Continued Fraction Expansions for the
Exponential Function, "Continued Fraction Expansions for the Probability
Integral," "Lemma 2.6…,"
undated
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
2
676 [?], "Algebra of Points in the Plane," "Operators
for Smoothing Data…," "2. Some properties of q operators…,"
December 1955 and
undated
2
M678a, "9. Independently distributed chance variables,"
undated
Restricted:
2
Student grades,
1959-1969