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Gertrude Blanch (2 February 1897, in Kolno, Russian Empire (now Poland) – 1 January 1996) was an American
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
who did pioneering work in
numerical analysis Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods ...
and computation. She was a leader of the Mathematical Tables Project in New York from its beginning. She worked later as the assistant director and leader of the Numerical Analysis at
UCLA The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California ...
computing division and was head of mathematical research for the Aerospace Research Laboratory at
Wright-Patterson Air Force Base Wright-Patterson Air Force Base (WPAFB) is a United States Air Force base and census-designated place just east of Dayton, Ohio, in Greene and Montgomery counties. It includes both Wright and Patterson Fields, which were originally Wilbur Wr ...
in
Dayton, Ohio Dayton () is the sixth-largest city in the U.S. state of Ohio and the county seat of Montgomery County. A small part of the city extends into Greene County. The 2020 U.S. census estimate put the city population at 137,644, while Greater D ...
.


Early years and education

Blanch was born on 2 February 1897 as Gittel Kaimowitz in Kolno to Wolfe Kaimowitz and Dora Blanc. Kolno was historically a part of
Poland Poland, officially the Republic of Poland, is a country in Central Europe. It is divided into 16 administrative provinces called voivodeships, covering an area of . Poland has a population of over 38 million and is the fifth-most populou ...
, but was part of the
Russian Empire The Russian Empire was an empire and the final period of the Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended the Great Northern War. ...
at the time. Blanch was the youngest of seven children. Wolfe Kaimowitz emigrated to the
United States The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territori ...
, and in 1907, Dora Blanc, ten-year-old Blanch, and one other daughter joined him in New York. Biography on p. 83–89 of th
Supplementary Material
a
AMS
Blanch attended schools within Brooklyn, New York, and graduated from Eastern District High School in 1914. Later that year, Kaimowitz died, so Blanch decided to take a job to support her family. Blanch worked clerical positions for fourteen years (1914-1928), saving money for school along the way. She became an American citizen in 1921. After her mother died in 1927, Blanch started taking evening classes at
Washington Square College The New York University College of Arts & Science (CAS) is the primary liberal arts college of New York University (NYU). The school is located near Gould Plaza next to the Courant Institute of Mathematical Sciences and the Stern School of Busine ...
, part of
New York University New York University (NYU) is a private research university in New York City. Chartered in 1831 by the New York State Legislature, NYU was founded by a group of New Yorkers led by then- Secretary of the Treasury Albert Gallatin. In 1832, th ...
. In 1932, Blanch received her Bachelor of Science degree in Mathematics with a minor in Physics from New York University. She graduated with summa cum laude and was a member of
Phi Beta Kappa The Phi Beta Kappa Society () is the oldest academic honor society in the United States, and the most prestigious, due in part to its long history and academic selectivity. Phi Beta Kappa aims to promote and advocate excellence in the liberal ...
, a prestigious academic honor society. That same year, she changed her name from Kaimowitz to Blanch, an Americanized version of her mother's name. After writing her thesis titled "''Properties of the Veneroni Transformation in S4",'' she received her Ph.D. from
Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to tea ...
in algebraic geometry in 1935. The results from her thesis were published in the
American Journal of Mathematics The ''American Journal of Mathematics'' is a bimonthly mathematics journal published by the Johns Hopkins University Press. History The ''American Journal of Mathematics'' is the oldest continuously published mathematical journal in the United S ...
in 1936.


Career

Blanch was unable to find a job in her area of study after she graduated with her PhD, due to the Great Depression. For a year (1935-1936), she worked in place of a colleague on leave at Hunter College. Afterwards, she worked a clerical position. Blanch enrolled in an evening course on relativity at Brooklyn College, instructed by Arnold Lowan. Upon learning of Blanch's PhD in mathematics, Lowan extended an invitation to Blanch to join the
Works Progress Administration The Works Progress Administration (WPA; renamed in 1939 as the Work Projects Administration) was an American New Deal agency that employed millions of jobseekers (mostly men who were not formally educated) to carry out public works projects, i ...
project, where she was assigned to a supervisory position. In February 1938, she began work on the
Mathematical Tables Project 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 in 1938 as a project of the Works Progress Admi ...
of the
WPA WPA may refer to: Computing *Wi-Fi Protected Access, a wireless encryption standard *Windows Product Activation, in Microsoft software licensing * Wireless Public Alerting (Alert Ready), emergency alerts over LTE in Canada * Windows Performance An ...
, for which she was mathematical director and Chair of the Planning Committee. As a member of the Planning Committee, Blanch decided which mathematical functions were to be calculated, and constructed the computing plans used by the computers. While the Planning Committee was in operation, it included women other than Blanch such as Ida Rhodes, Jenny Rosenthal, and
Irene Stegun Irene Ann Stegun (February 9, 1919 – January 27, 2008) was an American mathematician at the National Bureau of Standards (NBS, now the National Institute of Standards and Technology) who edited a classic book of mathematical tables called ''A ...
. The Planning Committee was in charge of 450 human computers with varying knowledge of mathematics. Blanch's duties entailed designing algorithms that were executed by teams of human computers under her direction. Many of these computers possessed only rudimentary mathematical skills, but the algorithms and error checking in the Mathematical Tables Project were sufficiently well designed that their output defined the standard for
transcendental function In mathematics, a transcendental function is an analytic function that does not satisfy a polynomial equation, in contrast to an algebraic function. In other words, a transcendental function "transcends" algebra in that it cannot be expressed alge ...
solutions for decades. This project later became the Computation Laboratory of the
National Bureau of Standards 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 physical sci ...
. During her last two years at the WPA, she worked as an evening tutor at Brooklyn College. The Mathematical Tables Project became an independent organization following the termination of the WPA at the end of 1942. During
World War II World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposing ...
, it operated as a major computing office for the US government and did calculations for the
Office of Scientific Research and Development The Office of Scientific Research and Development (OSRD) was an agency of the United States federal government created to coordinate scientific research for military purposes during World War II. Arrangements were made for its creation during May 1 ...
, the Army's map grid, the Navy's
LORAN LORAN, short for long range navigation, was a hyperbolic radio navigation system developed in the United States during World War II. It was similar to the UK's Gee system but operated at lower frequencies in order to provide an improved range u ...
radio navigation system, the
Manhattan Project The Manhattan Project was a research and development undertaking during World War II that produced the first nuclear weapons. It was led by the United States with the support of the United Kingdom and Canada. From 1942 to 1946, the project w ...
and other institutions. The project also performed important calculations for Operation Overlord. Using a mathematical model developed by
Jerzy Neyman Jerzy Neyman (April 16, 1894 – August 5, 1981; born Jerzy Spława-Neyman; ) was a Polish mathematician and statistician who spent the first part of his professional career at various institutions in Warsaw, Poland and then at University Colleg ...
, the group helped evaluate strategies designed to bomb the Normandy beaches. Blanch led the group throughout the war. After the war, Blanch's career was hampered by
FBI The Federal Bureau of Investigation (FBI) is the domestic intelligence and security service of the United States and its principal federal law enforcement agency. Operating under the jurisdiction of the United States Department of Justice, t ...
suspicions that she was secretly a communist. During this time the National Bureau of Standards was investigated by the loyalty board of the Department of Commerce. Their evidence for her communist ties was scarce and included, for example, the observation that she had never married or had children, as well as the fact that her sister was affiliated with the
Communist Party A communist party is a political party that seeks to realize the socio-economic goals of communism. The term ''communist party'' was popularized by the title of ''The Manifesto of the Communist Party'' (1848) by Karl Marx and Friedrich Engels. ...
. In a May 1952 hearing, all charges were resolved. With her name cleared, she was able to resume her work. Subsequently, she worked for 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. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California ...
until it was closed in June 1954. She then became a mathematician for the computer division of Consolidated Engineering in Pasadena, California for a couple of months until a friend she had made at the Mathematical Tables Project, Chief mathematician Knox Millsaps, recruited her to be a senior mathematician for the Aerospace Research Laboratory at
Wright-Patterson Air Force Base Wright-Patterson Air Force Base (WPAFB) is a United States Air Force base and census-designated place just east of Dayton, Ohio, in Greene and Montgomery counties. It includes both Wright and Patterson Fields, which were originally Wilbur Wr ...
in
Dayton, Ohio Dayton () is the sixth-largest city in the U.S. state of Ohio and the county seat of Montgomery County. A small part of the city extends into Greene County. The 2020 U.S. census estimate put the city population at 137,644, while Greater D ...
. The Air Force hired her to work on computations dealing with turbulence, air flow, and transonic and supersonic flight. In 1962, Blanch was promoted to government senior scientist. She was an early member of the ACM.


Publications

Blanch published over 30 articles on functional approximation, numerical analysis and
Mathieu function In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation : \frac + (a - 2q\cos(2x))y = 0, where a and q are parameters. They were first introduced by Émile Léonard Mathieu ...
s. Between 1940 and 1942, while at the Mathematical Tables Project, several important papers were jointly published with Lowan, including a project with physicist
Hans Bethe Hans Albrecht Bethe (; July 2, 1906 – March 6, 2005) was a German-American theoretical physicist who made major contributions to nuclear physics, astrophysics, quantum electrodynamics, and solid-state physics, and who won the 1967 Nobel ...
which involved complex calculations to determine various properties of stars. * The Gertrude Blanch Papers (1932–1996) * Tables of Planck's Radiation and Photon Functions (1940) * Error in Hayashi's Table of Bessel Functions for Complex Arguments (1941) * On the Inversion of the Q-Series Associated with Jacobian Elliptic Functions (1942) * The Internal Temperature Density Distribution of the Sun (1941)


Honors and awards

In 1963, she was elected a Fellow of the American Association for the Advancement of Science. In 1964, she received the Federal Woman's Award, an award for women who had exemplary professional service in the United States Government. * Air Force Outstanding Performance Award (1958) * Air Force Exceptional Service Award (1963) * Fellow of the American Association for the Advancement of Science (1963) *
Federal Woman's Award The Federal Woman's Award, also known as the Federal Women's Award, was given by the United States Civil Service Commission from 1961 until 1976. The Federal Woman's Award was established by Barbara Bates Gunderson in 1960, while she was serving on ...
(1964) * Inducted into the Portrait Gallery at the National Institution of Standards and Technology (2017)NIST
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Later years

Blanch retired in 1967 at the age of 69, but through
Ohio State University The Ohio State University, commonly called Ohio State or OSU, is a public land-grant research university in Columbus, Ohio. A member of the University System of Ohio, it has been ranked by major institutional rankings among the best publ ...
continued working as a consultant for the Air Force until 1970 when Ohio State canceled all military funded contracts. Thereafter she moved to San Diego, California where she worked on her book about functional approximations until it was completed in 1982 but never published. Blanch then continued to work on numerical solutions of
Mathieu function In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation : \frac + (a - 2q\cos(2x))y = 0, where a and q are parameters. They were first introduced by Émile Léonard Mathieu ...
s, specifically concentrating on the use of
continued fraction In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer ...
s to achieve highly accurate results in a small number of computational steps to which she completed an unpublished manuscript. She continued this research until her death in January 1996. The ''Gertrude Blanch Papers'', 1932–1996 are accessible at the
Charles Babbage Institute The IT History Society (ITHS) is an organization that supports the history and scholarship of information technology by encouraging, fostering, and facilitating archival and historical research. Formerly known as the Charles Babbage Foundation, ...
,
University of Minnesota The University of Minnesota, formally the University of Minnesota, Twin Cities, (UMN Twin Cities, the U of M, or Minnesota) is a public land-grant research university in the Twin Cities of Minneapolis and Saint Paul, Minnesota, United States. ...
,
Minneapolis Minneapolis () is the largest city in Minnesota, United States, and the county seat of Hennepin County. The city is abundant in water, with thirteen lakes, wetlands, the Mississippi River, creeks and waterfalls. Minneapolis has its origins ...
.


References

* Grier, David Alan, "Gertrude Blanch of the Mathematical Tables Project", ''Annals of the History of Computing'', 19.4 (1997), 18–27. * Grier, David Alan, "The Math Tables Project of the Work Projects Administration: the reluctant start of the computing era", ''Annals of the History of Computing'', 20 (1998), 33–50. * Grier, David Alan, "When Computers Were Human", 2005.


External links


"Gertrude Blanch", Biographies of Women Mathematicians
, Agnes Scott College
Gertrude Blanch Papers, 1932-1996
Charles Babbage Institute The IT History Society (ITHS) is an organization that supports the history and scholarship of information technology by encouraging, fostering, and facilitating archival and historical research. Formerly known as the Charles Babbage Foundation, ...
, University of Minnesota, Minneapolis.
Computer Oral History Collection: Dr. Gertrude Blanch, 1969-1973
Smithsonian National Museum of American History The National Museum of American History: Kenneth E. Behring Center collects, preserves, and displays the heritage of the United States in the areas of social, political, cultural, scientific, and military history. Among the items on display is t ...

Gertrude Blanch, The History of Numerical Analysis and Scientific Computing


{{DEFAULTSORT:Blanch, Gertude 1897 births 1996 deaths Emigrants from the Russian Empire to the United States New York University alumni Cornell University alumni Hunter College faculty University of California, Los Angeles staff American women mathematicians People from Dayton, Ohio 20th-century American mathematicians 20th-century women mathematicians Eastern District High School alumni Fellows of the American Association for the Advancement of Science 20th-century American women