The Mathematical Tables Project was one of the largest and most sophisticated computing organizations that operated prior to the invention of the digital electronic computer. Begun in the
United States
The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
in 1938 as a project of the
Works Progress Administration
The Works Progress Administration (WPA; from 1935 to 1939, then known as the Work Projects Administration from 1939 to 1943) was an American New Deal agency that employed millions of jobseekers (mostly men who were not formally educated) to car ...
(WPA), it employed 450 unemployed clerks to
tabulate higher mathematical functions, such as
exponential functions,
logarithm
In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of to base is , because is to the rd power: . More generally, if , the ...
s, and
trigonometric functions
In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all ...
. These tables were eventually published in a 28-volume set by
Columbia University Press
Columbia University Press is a university press based in New York City
New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's la ...
.
History
The group was led by a group of mathematicians and physicists, most of whom had been unable to find professional work during the
Great Depression
The Great Depression was a severe global economic downturn from 1929 to 1939. The period was characterized by high rates of unemployment and poverty, drastic reductions in industrial production and international trade, and widespread bank and ...
. The mathematical leader was
Gertrude Blanch, who had just finished her doctorate in mathematics at
Cornell University
Cornell University is a Private university, private Ivy League research university based in Ithaca, New York, United States. The university was co-founded by American philanthropist Ezra Cornell and historian and educator Andrew Dickson W ...
. She had been unable to find a university position and was working at a photographic company before joining the project.
The administrative director was Arnold Lowan, who had a degree in physics from
Columbia University
Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...
and had spent a year at the
Institute for Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Ein ...
in
Princeton University
Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...
before returning to New York without a job. Perhaps the most accomplished mathematician to be associated with the group was
Cornelius Lanczos, who had once served as an assistant to
Albert Einstein
Albert Einstein (14 March 187918 April 1955) was a German-born theoretical physicist who is best known for developing the theory of relativity. Einstein also made important contributions to quantum mechanics. His mass–energy equivalence f ...
. He spent a year with the project and organized seminars on computation and
applied mathematics
Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
at the project's office in
Lower Manhattan
Lower Manhattan, also known as Downtown Manhattan or Downtown New York City, is the southernmost part of the Boroughs of New York City, New York City borough of Manhattan. The neighborhood is History of New York City, the historical birthplace o ...
.
In addition to computing tables of mathematical functions, the project did large computations for sciences, including the physicist
Hans Bethe, and did calculations for a variety of war projects, including tables for the
LORAN
LORAN (Long Range Navigation) was a hyperbolic navigation, hyperbolic radio navigation system developed in the United States during World War II. It was similar to the UK's Gee (navigation), Gee system but operated at lower frequencies in order ...
navigation system, tables for microwave radar, bombing tables, and shock wave propagation tables.
The Mathematical Tables Project survived the termination of the WPA in 1943 and continued to operate in New York until 1948. At that point, roughly 25 members of the group moved to Washington, D.C., to become the Computation Laboratory of the National Bureau of Standards, now the
National Institute of Standards and Technology
The National Institute of Standards and Technology (NIST) is an agency of the United States Department of Commerce whose mission is to promote American innovation and industrial competitiveness. NIST's activities are organized into Outline of p ...
. Blanch moved to Los Angeles to lead the computing office of the Institute for Numerical Analysis at
UCLA
The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California, United States. Its academic roots were established in 1881 as a normal school then known as the southern branch of the C ...
and Arnold Lowan joined the faculty of
Yeshiva University
Yeshiva University is a Private university, private Modern Orthodox Judaism, Orthodox Jewish university with four campuses in New York City. in New York. The greatest legacy of the project is the
''Handbook of Mathematical Functions'',
which was published 16 years after the group disbanded. Edited by two veterans of the project,
Milton Abramowitz and
Irene Stegun, it became a widely circulated mathematical and scientific reference.
References
External links
Gertrude Blanch Papers
{{Authority control
History of mathematics
Mathematical tables
Works Progress Administration