Kurt Otto Friedrichs (September 28, 1901 – December 31, 1982) was a German-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, mathematical structure, structure, space, Mathematica ...
. He was the co-founder of the
Courant Institute
The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU). Founded in 1935, it is named after Richard Courant, one of the founders of the Courant Institute ...
at
New York University
New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational ...
, and a recipient of the
National Medal of Science
The National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral science, behavior ...
.
Biography
Friedrichs was born in
Kiel
Kiel ( ; ) is the capital and most populous city in the northern Germany, German state of Schleswig-Holstein. With a population of around 250,000, it is Germany's largest city on the Baltic Sea. It is located on the Kieler Förde inlet of the Ba ...
,
Schleswig-Holstein
Schleswig-Holstein (; ; ; ; ; occasionally in English ''Sleswick-Holsatia'') is the Northern Germany, northernmost of the 16 states of Germany, comprising most of the historical Duchy of Holstein and the southern part of the former Duchy of S ...
on September 28, 1901. His family soon moved to
Düsseldorf
Düsseldorf is the capital city of North Rhine-Westphalia, the most populous state of Germany. It is the second-largest city in the state after Cologne and the List of cities in Germany with more than 100,000 inhabitants, seventh-largest city ...
, where he grew up. He attended several different universities in Germany studying the philosophical works of
Heidegger
Martin Heidegger (; 26 September 1889 – 26 May 1976) was a German philosopher known for contributions to phenomenology, hermeneutics, and existentialism. His work covers a range of topics including metaphysics, art, and language.
In April ...
and
Husserl
Edmund Gustav Albrecht Husserl (; 8 April 1859 – 27 April 1938) was an Austrian-German philosopher and mathematician who established the school of phenomenology.
In his early work, he elaborated critiques of historicism and of psychologism in ...
, but finally decided that mathematics was his real calling. During the 1920s, Friedrichs pursued this field in
Göttingen
Göttingen (, ; ; ) is a college town, university city in Lower Saxony, central Germany, the Capital (political), capital of Göttingen (district), the eponymous district. The River Leine runs through it. According to the 2022 German census, t ...
, which had a renowned Mathematical Institute under the direction of
Richard Courant
Richard Courant (January 8, 1888 – January 27, 1972) was a German-American mathematician. He is best known by the general public for the book '' What is Mathematics?'', co-written with Herbert Robbins. His research focused on the areas of real ...
. Courant became a close colleague and lifelong friend of Friedrichs.
In 1931, Friedrichs became a full professor of mathematics at the
Technische Hochschule in Braunschweig. In early February 1933, a few days after
Hitler
Adolf Hitler (20 April 1889 – 30 April 1945) was an Austrian-born German politician who was the dictator of Nazi Germany from 1933 until Death of Adolf Hitler, his suicide in 1945. Adolf Hitler's rise to power, He rose to power as the lea ...
became the
Chancellor of Germany
The chancellor of Germany, officially the federal chancellor of the Federal Republic of Germany, is the head of the federal Cabinet of Germany, government of Germany. The chancellor is the chief executive of the Federal Government of Germany, ...
, Friedrichs met and immediately fell in love with a young Jewish student, Nellie Bruell. Their relationship became increasingly challenging and difficult because of the anti-Semitic
Nuremberg Laws
The Nuremberg Laws (, ) were antisemitic and racist laws that were enacted in Nazi Germany on 15 September 1935, at a special meeting of the Reichstag convened during the annual Nuremberg Rally of the Nazi Party. The two laws were the Law ...
of Hitler's government. In 1937, both Friedrichs and Nellie Bruell managed to emigrate separately to
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 largest natural harbors. The city comprises five boroughs, each coextensive w ...
where they finally married. Their long and very happy marriage produced five children.
[Life of K. O. Friedrichs](_blank)
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Courant had left Germany in 1933 and had founded an institute for graduate studies in mathematics at New York University
New York University (NYU) is a private university, private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a Nondenominational ...
. Friedrichs joined him when he arrived in 1937 and remained there for forty years. He was instrumental in the development of the Courant Institute of Mathematical Sciences
The Courant Institute of Mathematical Sciences (commonly known as Courant or CIMS) is the mathematics research school of New York University (NYU). Founded in 1935, it is named after Richard Courant, one of the founders of the Courant Institute ...
, which eventually became one of the most distinguished research institutes for applied mathematics in the world. Friedrichs died in New Rochelle, New York
New Rochelle ( ; in ) is a Political subdivisions of New York State#City, city in Westchester County, New York, Westchester County, New York (state), New York, United States. It is a suburb of New York City, located approximately from Midtow ...
on December 31, 1982.
Friedrichs's greatest contribution to applied mathematics was his work on partial differential equations
In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives.
The function is often thought of as an "unknown" that solves the equation, similar to how ...
. He also did major research and wrote many books and papers on existence theory, numerical methods
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 t ...
, differential operators
In mathematics, a differential operator is an operator defined as a function of the differentiation operator. It is helpful, as a matter of notation first, to consider differentiation as an abstract operation that accepts a function and retur ...
in Hilbert space
In mathematics, a Hilbert space is a real number, real or complex number, complex inner product space that is also a complete metric space with respect to the metric induced by the inner product. It generalizes the notion of Euclidean space. The ...
, non-linear buckling of plates, flows past wings, solitary waves, shock waves, combustion, magneto-fluid dynamical shock waves, relativistic flows, quantum field theory
In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines Field theory (physics), field theory and the principle of relativity with ideas behind quantum mechanics. QFT is used in particle physics to construct phy ...
, perturbation of the continuous spectrum, scattering theory, and symmetric hyperbolic equations. With Cartan Cartan may refer to:
* Élie Cartan (1869–1951), French mathematician who worked with Lie groups
* Henri Cartan (1904–2008), French mathematician who worked in algebraic topology, son of Élie Cartan
* Anna Cartan
Anna Cartan (15 May 1878 &n ...
, Friedrichs gave a "geometrized" formulation of Newtonian gravitation theory—also known
as “Newton–Cartan theory
Newton–Cartan theory (or geometrized Newtonian gravitation) is a geometrical re-formulation, as well as a generalization, of Newtonian gravity first introduced by Élie Cartan in 1923 and Kurt Friedrichs and later developed by G. Dautcourt, W. G ...
”— and later developed by Dautcourt, Dixon, Dombrowski and Horneffer, Ehlers, Havas, Künzle, Lottermoser, Trautman, and others.
A member of the National Academy of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, NGO, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the ...
since 1959, Friedrichs received many honorary degrees and awards for his work. There is a student prize named after Friedrichs at NYU
New York University (NYU) is a private research university in New York City, New York, United States. Chartered in 1831 by the New York State Legislature, NYU was founded in 1832 by Albert Gallatin as a non-denominational all-male institutio ...
. The American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
selected him as the Josiah Willards Gibbs lecturer for 1954. In November 1977, Friedrichs received the National Medal of Science
The National Medal of Science is an honor bestowed by the President of the United States to individuals in science and engineering who have made important contributions to the advancement of knowledge in the fields of behavioral science, behavior ...
from President Jimmy Carter "for bringing the powers of modern mathematics to bear on problems in physics, fluid dynamics, and elasticity."
Selected bibliography
*R. von Mises and K. O. Friedrichs, ''Fluid Dynamics'', Springer-Verlag (1971).
*K. O. Friedrichs, ''Perturbation of Spectra in Hilbert Space'', American Mathematical Society (1965).
*K. O. Friedrichs, ''Mathematical aspects of the quantum theory of fields'', Interscience (1953).
*K. O. Friedrichs, ''Spectral Theory of Operators in Hilbert Space'', Springer-Verlag (1981).
*. A selection from Friedrichs' works with a biography and commentaries of David Isaacson, Fritz John
Fritz John (14 June 1910 – 10 February 1994) was a German-born mathematician specialising in partial differential equations and ill-posed problems. His early work was on the Radon transform and he is remembered for John's equation. He was ...
, Tosio Kato
was a Japanese mathematician who worked with partial differential equations, mathematical physics and functional analysis.
Education and career
Kato studied physics and received his undergraduate degree in 1941 at the Imperial University of To ...
, Peter Lax
Peter David Lax (1 May 1926 – 16 May 2025) was a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics.
Lax made important contributions to integrable systems, fluid dynamics an ...
, Louis Nirenberg
Louis Nirenberg (February 28, 1925 – January 26, 2020) was a Canadian-American mathematician, considered one of the most outstanding Mathematical analysis, mathematicians of the 20th century.
Nearly all of his work was in the field of par ...
, Wolfgang Wasow, Harold Weitzner
Harold Weitzner is an American applied mathematician and physicist whose primary research is plasma physics. He is Professor Emeritus of Mathematics at the Courant Institute of Mathematical Sciences and has served as Director of the Magneto-Fluid ...
.
See also
* Singular perturbation
References
External links
*
*
National Academy of Sciences Biographical Memoir
*
{{DEFAULTSORT:Friedrichs, Kurt O.
1901 births
1982 deaths
Scientists from Kiel
Scientists from New Rochelle, New York
20th-century German mathematicians
20th-century American mathematicians
National Medal of Science laureates
Members of the United States National Academy of Sciences
Partial differential equation theorists
Operator theorists
Courant Institute of Mathematical Sciences faculty
Academic staff of TU Braunschweig
Mathematicians from New York (state)
Emigrants from Nazi Germany to the United States