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Olga Taussky-Todd (August 30, 1906,
Olomouc Olomouc (, , ; german: Olmütz; pl, Ołomuniec ; la, Olomucium or ''Iuliomontium'') is a city in the Czech Republic. It has about 99,000 inhabitants, and its larger urban zone has a population of about 384,000 inhabitants (2019). Located on t ...
,
Austria-Hungary Austria-Hungary, often referred to as the Austro-Hungarian Empire,, the Dual Monarchy, or Austria, was a constitutional monarchy and great power in Central Europe between 1867 and 1918. It was formed with the Austro-Hungarian Compromise of ...
(present-day
Olomouc Olomouc (, , ; german: Olmütz; pl, Ołomuniec ; la, Olomucium or ''Iuliomontium'') is a city in the Czech Republic. It has about 99,000 inhabitants, and its larger urban zone has a population of about 384,000 inhabitants (2019). Located on t ...
,
Czech Republic The Czech Republic, or simply Czechia, is a landlocked country in Central Europe. Historically known as Bohemia, it is bordered by Austria to the south, Germany to the west, Poland to the northeast, and Slovakia to the southeast. The ...
) – October 7, 1995,
Pasadena, California Pasadena ( ) is a city in Los Angeles County, California, northeast of downtown Los Angeles. It is the most populous city and the primary cultural center of the San Gabriel Valley. Old Pasadena is the city's original commercial district. ...
) was an
Austria Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ...
n and later Czech-American mathematician. She published more than 300 research papers on algebraic number theory, integral matrices, and matrices in algebra and analysis.


Early life

Olga Taussky was born into a Jewish family in what is now Olomouc, Czech Republic, on August 30, 1906. Her father, Julius David Taussky, was an industrial chemist and her mother, Ida Pollach, was a housewife. She was the second of three children. Her father preferred that, if his daughters had careers, they be in the arts, but they all went into the sciences. Ilona, three years older than Olga, became a consulting chemist in the glyceride industry, and Hertha, three years younger than Olga, became a pharmacist and later a clinical chemist at Cornell University Medical College in New York City. At the age of three, her family moved to Vienna and lived there until the middle of World War I. Later Taussky's father accepted a position as director of a vinegar factory at Linz in Upper Austria. At a young age, Taussky displayed a keen interest in mathematics. After her father died during her last year at school, she worked through the summer at her father's vinegar factory and was pressured by her family to study chemistry in order to take over her father's work. Her elder sister, however, qualified in chemistry and took over her father's work. In "
Red Vienna Red Vienna (German: ''Rotes Wien'') was the colloquial name for the capital of Austria between 1918 and 1934, when the Social Democratic Workers' Party of Austria (SDAP) maintained almost unilateral political control over Vienna and, for a short ...
" of the day, the
Social Democratic Party of Austria The Social Democratic Party of Austria (german: Sozialdemokratische Partei Österreichs , SPÖ), founded and known as the Social Democratic Workers' Party of Austria (german: link=no, Sozialdemokratische Arbeiterpartei Österreichs, SDAPÖ) unti ...
encouraged woman to pursue higher education, and Taussky enrolled at the University of Vienna in the fall of 1925 to study mathematics.


Career

Taussky worked first in
algebraic number theory Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic o ...
, with a doctorate at the
University of Vienna The University of Vienna (german: Universität Wien) is a public research university located in Vienna, Austria. It was founded by Duke Rudolph IV in 1365 and is the oldest university in the German-speaking world. With its long and rich hi ...
supervised by
Philipp Furtwängler Friederich Pius Philipp Furtwängler (April 21, 1869 – May 19, 1940) was a German number theorist. Biography Furtwängler wrote an 1896 doctoral dissertation at the University of Göttingen on cubic forms (''Zur Theorie der in Linearfaktoren zer ...
, a number theorist from Germany. During that time, she attended meetings of the so-called
Vienna Circle The Vienna Circle (german: Wiener Kreis) of Logical Empiricism was a group of elite philosophers and scientists drawn from the natural and social sciences, logic and mathematics who met regularly from 1924 to 1936 at the University of Vienna, ch ...
, the group of philosophers and logicians developing the philosophy of
logical positivism Logical positivism, later called logical empiricism, and both of which together are also known as neopositivism, is a movement in Western philosophy whose central thesis was the verification principle (also known as the verifiability criterion o ...
. Taussky, like
Olga Hahn-Neurath Olga Hahn-Neurath (; 20 July 1882 – 20 July 1937) was an Austrian mathematician and philosopher. She is best known for being a member of the Vienna Circle. She was sister of the mathematician Hans Hahn. Biography Born in Vienna, Hahn enrolled a ...
and
Rose Rand Rose Rand (June 14, 1903 – July 28, 1980) was an Austrian-American logician and philosopher. She was a member of the Vienna Circle. Life and work Rose (Rozalia) Rand was born in Lemberg in the Austrian crown land of Galicia (today ...
, was one of the first women to join the group, which included Otto Neurath,
Rudolf Carnap Rudolf Carnap (; ; 18 May 1891 – 14 September 1970) was a German-language philosopher who was active in Europe before 1935 and in the United States thereafter. He was a major member of the Vienna Circle and an advocate of logical positivism. ...
, and
Kurt Gödel Kurt Friedrich Gödel ( , ; April 28, 1906 – January 14, 1978) was a logician, mathematician, and philosopher. Considered along with Aristotle and Gottlob Frege to be one of the most significant logicians in history, Gödel had an imm ...
and which was strongly influenced by
Ludwig Wittgenstein Ludwig Josef Johann Wittgenstein ( ; ; 26 April 1889 – 29 April 1951) was an Austrian- British philosopher who worked primarily in logic, the philosophy of mathematics, the philosophy of mind, and the philosophy of language. He is consi ...
. Taussky is best known for her work in matrix theory (in particular the computational stability of complex matrices) algebraic number theory, group theory, and numerical analysis. According to Gian-Carlo Rota, as a young mathematician she was hired by a group of German mathematicians to find and correct the many mathematical errors in the works of
David Hilbert David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician, one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many ...
, so that they could be collected into a volume to be presented to him on his birthday. There was only one paper, on the
continuum hypothesis In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis about the possible sizes of infinite sets. It states that or equivalently, that In Zermelo–Fraenkel set theory with the axiom of choice (ZFC), this is equivalent to ...
, that she was unable to repair.. Later, she started to use
matrices Matrix most commonly refers to: * ''The Matrix'' (franchise), an American media franchise ** ''The Matrix'', a 1999 science-fiction action film ** "The Matrix", a fictional setting, a virtual reality environment, within ''The Matrix'' (franchis ...
to analyze vibrations of airplanes 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 World War II by country, vast majority of the world's countries—including all of the great power ...
, at the National Physical Laboratory in the
United Kingdom The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Europe, off the north-western coast of the continental mainland. It comprises England, Scotland, Wales and ...
. During this time she wrote several articles that were published by the Ministry of Aircraft Production in London. She later described herself as a ''torchbearer'' for matrix theory. In 1935, she moved to England and became a Fellow at
Girton College Girton College is one of the Colleges of the University of Cambridge, 31 constituent colleges of the University of Cambridge. The college was established in 1869 by Emily Davies and Barbara Bodichon as the first women's college in Cambridge. In 1 ...
, Cambridge University, as well as at
Bryn Mawr College Bryn Mawr College ( ; Welsh: ) is a women's liberal arts college in Bryn Mawr, Pennsylvania. Founded as a Quaker institution in 1885, Bryn Mawr is one of the Seven Sister colleges, a group of elite, historically women's colleges in the United ...
. Soon after, in 1938, she married the Irish mathematician Jack Todd, a colleague at the
University of London The University of London (UoL; abbreviated as Lond or more rarely Londin in post-nominals) is a federal public research university located in London, England, United Kingdom. The university was established by royal charter in 1836 as a degr ...
. In 1945 the Todds emigrated to the United States and worked for 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 ...
. In 1957 she and her husband both joined the faculty of
California Institute of Technology The California Institute of Technology (branded as Caltech or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...
(Caltech) in Pasadena, California. She also supervised Caltech's first female Ph.D. in Math, Lorraine Foster, as well as
Hanna Neumann Johanna (Hanna) Neumann (née von Caemmerer; 12 February 1914 – 14 November 1971) was a German-born mathematician who worked on group theory. Biography Neumann was born on 12 February 1914 in Lankwitz, Steglitz-Zehlendorf (today a distr ...
,
Philip J. Hanlon Philip James Hanlon (born April 10, 1955) is an American mathematician, computer scientist, and educator who serves as the 18th President of his '' alma mater'', Dartmouth College, his tenure beginning on June 10, 2013. Early life Hanlon was born ...
, and
Charles Royal Johnson Charles Royal Johnson (born January 28, 1948) is an American mathematician specializing in linear algebra. He is a Class of 1961 professor of mathematics at College of William and Mary. The books ''Matrix Analysis'' and ''Topics in Matrix Analysi ...
. Taussky retired from teaching in 1977, but continued her correspondence with other mathematicians regarding her work in matrix theory.


Awards and honors

Taussky received the Ford Prize for an article on sum of squares published in 1970 in American Mathematical Monthly. She went on to receive an honorary doctorate from the University of Vienna and an honorary DSc by the University of Southern California in 1988. She was a Fellow of the AAAS, a
Noether Lecturer The Noether Lecture is a distinguished lecture series that honors women "who have made fundamental and sustained contributions to the mathematical sciences". The Association for Women in Mathematics (AWM) established the annual lectures in 1980 as t ...
and a recipient of the
Austrian Cross of Honour for Science and Art, 1st class The Austrian Decoration for Science and Art (german: Österreichisches Ehrenzeichen für Wissenschaft und Kunst) is a state decoration of the Republic of Austria and forms part of the Austrian national honours system. History The "Austrian D ...
(1978). In 1993, the
International Linear Algebra Society The International Linear Algebra Society (ILAS) is a professional mathematical society organized to promote research and education in linear algebra, matrix theory and matrix computation. It serves the international community through conferences, ...
(ILAS) established a lecture series to honor the contributions to the field of linear algebra made by Taussky-Todd and her husband. In 2021, the Taussky–Todd lecture series was converted to the
ILAS Taussky–Todd Prize The International Linear Algebra Society (ILAS) is a professional mathematical society organized to promote research and education in linear algebra, matrix theory and matrix computation. It serves the international community through conference ...
.


See also

* Latimer-MacDuffee theorem


Selected publications

* Olga Taussky
"How I became a torchbearer for matrix theory,"
''
American Mathematical Monthly ''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an ...
''. v. 95 (1988) * Olga Taussky, "A recurring theorem on determinants," ''Amer. Math. Monthly.'' 56 (1949) 673-676. * Olga Taussky, "Generalized commutators of matrices and permutations of factors in a product of three matrices," in ''Studies in Mathematics and Mechanics presented to Richard von Mises'', Academic Press, NY, 1954, p. 67. * Olga Taussky and John Todd
"Infinite powers of matrices,"
''J. London Math. Soc.'' 17 (1942) 147-151. * Olga Taussky
n → 0," ''J. Algebra,''">"Matrices C with Cn → 0," ''J. Algebra,''
1 (1954) 5-10. * Olga Taussky and John Todd, "Matrices with finite period," ''Proc. Edinburgh Math. Soc.'' 6 (1939) 128-134. * Olga Taussky, "On a theorem of Latimer and MacDuffee," ''Can. J. Math.'' 1 (1949) 300-302. * Olga Taussky
"Sums of squares"
''American Mathematical Monthly.'' v. 77, 1970


References


External links






Noether Booklet
* * {{DEFAULTSORT:Taussky-Todd, Olga 1906 births 1995 deaths 20th-century American mathematicians California Institute of Technology faculty Czechoslovak emigrants to the United States Czechoslovak Jews Fellows of Girton College, Cambridge Bryn Mawr College alumni Jewish American scientists Scientists from Olomouc Recipients of the Austrian Cross of Honour for Science and Art, 1st class Squares in number theory University of Vienna alumni Vienna Circle American women mathematicians 20th-century women mathematicians