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Richard Courant (January 8, 1888 – January 27, 1972) was a
German American German Americans (german: Deutschamerikaner, ) are Americans who have full or partial German ancestry. With an estimated size of approximately 43 million in 2019, German Americans are the largest of the self-reported ancestry groups by the Unite ...
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 ...
. He is best known by the general public for the book '' What is Mathematics?'', co-written with
Herbert Robbins Herbert Ellis Robbins (January 12, 1915 – February 12, 2001) was an American mathematician and statistician. He did research in topology, measure theory, statistics, and a variety of other fields. He was the co-author, with Richard Co ...
. His research focused on the areas of
real analysis In mathematics, the branch of real analysis studies the behavior of real numbers, sequences and series of real numbers, and real functions. Some particular properties of real-valued sequences and functions that real analysis studies include conv ...
,
mathematical physics Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...
, the calculus of variations and
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
s. He wrote textbooks widely used by generations of students of physics and mathematics. He is also known for founding the institute now bearing his name.


Life and career

Courant was born in Lublinitz, in the
Prussian Prussia, , Old Prussian: ''Prūsa'' or ''Prūsija'' was a German state on the southeast coast of the Baltic Sea. It formed the German Empire under Prussian rule when it united the German states in 1871. It was ''de facto'' dissolved by an e ...
Province of Silesia The Province of Silesia (german: Provinz Schlesien; pl, Prowincja Śląska; szl, Prowincyjŏ Ślōnskŏ) was a province of Prussia from 1815 to 1919. The Silesia region was part of the Prussian realm since 1740 and established as an official p ...
. His parents were Siegmund Courant and Martha Courant ''née'' Freund of Oels.
Edith Stein Edith Stein (religious name Saint Teresia Benedicta a Cruce ; also known as Saint Teresa Benedicta of the Cross or Saint Edith Stein; 12 October 1891 – 9 August 1942) was a German Jewish philosopher who converted to Christianity and became a ...
was Richard's cousin on the paternal side. During his youth his parents moved often, including to Glatz, then to Breslau and in 1905 to
Berlin Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constitue ...
. He stayed in Breslau and entered the
university A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, t ...
there, then continued his studies at the
University of Zürich The University of Zürich (UZH, german: Universität Zürich) is a public research university located in the city of Zürich, Switzerland. It is the largest university in Switzerland, with its 28,000 enrolled students. It was founded in 1833 f ...
and the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
. He became David Hilbert's assistant in Göttingen and obtained his doctorate there in 1910. He was obliged to serve in
World War I World War I (28 July 1914 11 November 1918), often abbreviated as WWI, was one of the deadliest global conflicts in history. Belligerents included much of Europe, the Russian Empire, the United States, and the Ottoman Empire, with fightin ...
, but was wounded shortly after enlisting and therefore dismissed from the military. Courant left the
University of Münster The University of Münster (german: Westfälische Wilhelms-Universität Münster, WWU) is a public university, public research university located in the city of Münster, North Rhine-Westphalia in Germany. With more than 43,000 students and over ...
in 1921 to take over
Erich Hecke Erich Hecke (20 September 1887 – 13 February 1947) was a German mathematician known for his work in number theory and the theory of modular forms. Biography Hecke was born in Buk, Province of Posen, German Empire (now Poznań, Poland). He o ...
s position at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen, (german: Georg-August-Universität Göttingen, known informally as Georgia Augusta) is a public research university in the city of Göttingen, Germany. Founded ...
. There he founded the Mathematical Institute, which he headed as director from 1928 until 1933. Courant left
Germany Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated betwe ...
in 1933, earlier than many Jewish escapees. He did not lose his position due to being
Jewish Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The ...
, as his previous service as a front-line soldier exempted him; however, his public membership in the social-democratic left was reason enough (for the Nazis) for dismissal. In 1936, after one year at
Cambridge Cambridge ( ) is a university city and the county town in Cambridgeshire, England. It is located on the River Cam approximately north of London. As of the 2021 United Kingdom census, the population of Cambridge was 145,700. Cambridge bec ...
, Courant accepted a professorship at
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, the ...
in New York City. There he founded an institute for graduate studies in
applied mathematics Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical s ...
. 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), and is among the most prestigious mathematics schools and mathematical sciences research cente ...
(as it was renamed in 1964) is now one of the most respected research centers in applied mathematics. Courant and David Hilbert authored the influential
textbook A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions. Schoolbooks are textboo ...
''
Methoden der mathematischen Physik ''Methoden der mathematischen Physik'' (Methods of Mathematical Physics) is a 1924 book, in two volumes totalling around 1000 pages, published under the names of Richard Courant and David Hilbert. It was a comprehensive treatment of the "methods ...
'', which, with its revised editions, is still current and widely used since its publication in 1924. With
Herbert Robbins Herbert Ellis Robbins (January 12, 1915 – February 12, 2001) was an American mathematician and statistician. He did research in topology, measure theory, statistics, and a variety of other fields. He was the co-author, with Richard Co ...
he coauthored a popular overview of higher mathematics, intended for the general public, titled '' What is Mathematics?''. With
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 a ...
he also coauthored the two-volume work ''Introduction to Calculus and Analysis,'' first published in 1965. Courant's name is also attached to the
finite element method The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat ...
, with his numerical treatment of the plain torsion problem for multiply-connected domains, published in 1943. This method is now one of the ways to solve
partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function. The function is often thought of as an "unknown" to be sol ...
s numerically. Courant is a namesake of the
Courant–Friedrichs–Lewy condition In mathematics, the convergence condition by Courant–Friedrichs–Lewy is a necessary condition for convergence while solving certain partial differential equations (usually hyperbolic PDEs) numerically. It arises in the numerical analysis of ex ...
and the
Courant minimax principle In mathematics, the Courant minimax principle gives the eigenvalues of a real symmetric matrix. It is named after Richard Courant. Introduction The Courant minimax principle gives a condition for finding the eigenvalues for a real symmetric matrix ...
. Courant died of a
stroke A stroke is a medical condition in which poor blood flow to the brain causes cell death. There are two main types of stroke: ischemic, due to lack of blood flow, and hemorrhagic, due to bleeding. Both cause parts of the brain to stop functionin ...
in
New Rochelle, New York New Rochelle (; older french: La Nouvelle-Rochelle) is a city in Westchester County, New York, United States, in the southeastern portion of the state. In 2020, the city had a population of 79,726, making it the seventh-largest in the state of ...
on January 27, 1972.


Perspective on mathematics

Commenting upon his analysis of experimental results from in-laboratory soap film formations, Courant believed that the existence of a physical solution does not obviate
mathematical proof A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion. The argument may use other previously established statements, such as theorems; but every proo ...
. Here is a quote from Courant on his mathematical perspective:


Personal life

In 1912, Courant married Nelly Neumann, who had earned her doctorate at Breslau in
synthetic geometry Synthetic geometry (sometimes referred to as axiomatic geometry or even pure geometry) is the study of geometry without the use of coordinates or formulae. It relies on the axiomatic method and the tools directly related to them, that is, compa ...
in 1909. They lived together in Göttingen until they were divorced in 1916. She was later murdered by the Nazis in 1942 for being Jewish. In 1919, Courant married Nerina (Nina) Runge (1891–1991), a daughter of the Göttingen professor for Applied Mathematics,
Carl Runge Carl David Tolmé Runge (; 30 August 1856 – 3 January 1927) was a German mathematician, physicist, and spectroscopist. He was co-developer and co- eponym of the Runge–Kutta method (German pronunciation: ), in the field of what is today know ...
(of Runge–Kutta fame). Richard and Nerina had four children:
Ernest Ernest is a given name derived from Germanic languages, Germanic word ''ernst'', meaning "serious". Notable people and fictional characters with the name include: People *Archduke Ernest of Austria (1553–1595), son of Maximilian II, Holy Roman ...
, a
particle physicist Particle physics or high energy physics is the study of Elementary particle, fundamental particles and fundamental interaction, forces that constitute matter and radiation. The fundamental particles in the universe are classified in the Standa ...
and innovator in particle accelerators; Gertrude (1922–2014), a PhD biologist and wife of the mathematician
Jürgen Moser Jürgen Kurt Moser (July 4, 1928 – December 17, 1999) was a German-American mathematician, honored for work spanning over four decades, including Hamiltonian dynamical systems and partial differential equations. Life Moser's mother Ilse Strehl ...
(1928–1999); Hans (1924-2019 ), a physicist who participated in 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 Leonore (known as "Lori," 1928–2015), a professional violist and wife of the mathematician Jerome Berkowitz (1928–1998) and subsequently wife of mathematician
Peter Lax Peter David Lax (born Lax Péter Dávid; 1 May 1926) is a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics. Lax has made important contributions to integrable systems, fluid ...
until her death.


Publications

* * * * * *
archive
(translated from German: ''Methoden der mathematischen Physik I'', 2nd ed, 1931) * (translated from German: ''Methoden der mathematischen Physik II'', 1937) * *


References


Sources

* *


External links

* *

– by
Peter Lax Peter David Lax (born Lax Péter Dávid; 1 May 1926) is a Hungarian-born American mathematician and Abel Prize laureate working in the areas of pure and applied mathematics. Lax has made important contributions to integrable systems, fluid ...

Oral History interview transcript with Richard Courant on 9 May 1962, American Institute of Physics, Niels Bohr Library & ArchivesNational Academy of Sciences Biographical Memoir2015 Video Interview with Hans Courant by Atomic Heritage Foundation
Voices of the Manhattan Project
US News Rankings of Applied Mathematics Programs
{{DEFAULTSORT:Courant, Richard 1888 births 1972 deaths 20th-century American mathematicians 20th-century German mathematicians German military personnel of World War I Mathematical analysts Mathematics popularizers People associated with the finite element method Foreign Members of the USSR Academy of Sciences Jewish emigrants from Nazi Germany to the United States Silesian Jews University of Göttingen alumni University of Münster faculty Academics of the University of Cambridge New York University faculty People associated with the University of Zurich University of Breslau alumni People from the Province of Silesia People from Lubliniec Scientists from New Rochelle, New York Textbook writers Knights Commander of the Order of Merit of the Federal Republic of Germany Fluid dynamicists Mathematicians from New York (state) Jewish scientists Fellows of the American Physical Society