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Richard Courant

German-American mathematician (1888–1972)


German-American mathematician (1888–1972)

FieldValue
nameRichard Courant
imageRichard_Courant.jpg
captionCourant in 1969
birth_date
birth_place{{plainlist
death_date
death_placeNew Rochelle, New York, United States
fieldsMathematics
workplaces{{plainlist
alma_mater{{plainlist
thesis_titleOn the application of Dirichlet's principle to the problems of conformal mapping
thesis_year1910
doctoral_advisorDavid Hilbert
doctoral_students{{plainlist
known_for{{plainlist
*Courant's nodal domain theorem<ref>{{cite weburlhttps://math.mit.edu/~urschel/publications/p2018.pdftitle=Nodal Decompositions of Graphsauthor=John C. Urschelwebsite=Math.mit.eduaccess-date=16 July 2022}}
  • Lublinitz, German Empire
  • (now Lubliniec, Poland)
  • University of Göttingen
  • University of Münster
  • University of Cambridge
  • New York University
  • University of Zurich
  • University of Göttingen
  • Leifur Ásgeirsson
  • Herbert Busemann
  • William Feller
  • Kurt Friedrichs
  • Harold Grad
  • Fritz John
  • Joseph Keller
  • Edgar Krahn
  • Martin Kruskal
  • Anneli Lax
  • Hans Lewy
  • Otto Neugebauer
  • Franz Rellich}}
  • Courant number
  • Courant minimax principle
  • Courant–Friedrichs–Lewy condition
  • Courant's nodal domain theorem
  • Methoden der mathematischen Physik

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 analysis, mathematical physics, the calculus of variations and partial differential equations. 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 Province of Silesia (now in Poland). His parents were Siegmund Courant and Martha Freund of Oels. Edith Stein was Richard's cousin on the maternal side. During his youth his parents moved often, including to Glatz, then to Breslau and in 1905 to Berlin. He stayed in Breslau and entered the university there, then continued his studies at the University of Zürich and the University of Göttingen. He became David Hilbert's assistant in Göttingen and obtained his doctorate there in 1910. He was obliged to serve in World War I, but was wounded shortly after enlisting and therefore dismissed from the military. Courant left the University of Münster in 1921 to take over Erich Heckes position at the University of Göttingen. There he founded the Mathematical Institute, which he headed as director from 1928 until 1933.

Courant left Germany in 1933, earlier than many Jewish escapees. He did not lose his position due to being Jewish, 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.{{cite journal| title=Edmund Landau's Göttingen: From the Life and Death of a Great Mathematical Center| first=Norbert| last=Schappacher| journal=The Mathematical Intelligencer| year=1991| volume=13| issue=4| pages=12–18| url=http://www-irma.u-strasbg.fr/~schappa/NSch/Publications_files/1991b_Landau.pdf| archive-url = https://web.archive.org/web/20161109153147/http://www-irma.u-strasbg.fr/~schappa/NSch/Publications_files/1991b_Landau.pdf| archive-date=2016-11-09| access-date=2024-11-30| doi=10.1007/bf03028334 | s2cid=124714271}}

In 1936, after one year at Cambridge, Courant accepted a professorship at New York University in New York City. There he founded an institute for graduate studies in applied mathematics. The Courant Institute of Mathematical Sciences (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 Methoden der mathematischen Physik, which, with its revised editions, is still current and widely used since its publication in 1924. With Herbert Robbins he coauthored a popular overview of higher mathematics, intended for the general public, titled What is Mathematics?. With Fritz John 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, with his numerical treatment of the plain torsion problem for multiply-connected domains, published in 1943. |doi-access=free This method is now one of the ways to solve partial differential equations numerically. Courant is a namesake of the Courant–Friedrichs–Lewy condition and the Courant minimax principle.

Courant was an elected member of both the American Philosophical Society (1953) and the United States National Academy of Sciences (1955). In 1965, the Mathematical Association of America recognized his contributions to Mathematics with their Award for Distinguished Service to Mathematics.{{cite web | title=Yueh-Gin Gung and Dr. Charles Y. Hu Award for Distinguished Service | website=Mathematical Association of America | url=https://maa.org/programs-and-communities/member-communities/maa-awards/service-awards/yueh-gin-gung-and-dr-charles-y-hu-award-for-distinguished-service | archive-url=https://web.archive.org/web/20240428154823/https://maa.org/programs-and-communities/member-communities/maa-awards/service-awards/yueh-gin-gung-and-dr-charles-y-hu-award-for-distinguished-service | archive-date=2024-04-28 | access-date=2024-05-06}}

Courant died of a stroke in New Rochelle, New York on January 27, 1972, aged 84.

Perspective on mathematics

Commenting upon his analysis of experimental results from in-laboratory soap film formations, Courant explained why the existence of a physical solution does not obviate mathematical proof. 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 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 (of Runge–Kutta fame).

Richard and Nerina had four children: Ernest (1920–2020), a particle physicist and innovator in particle accelerators; Gertrude (1922–2014), a biologist and wife of the mathematician Jürgen Moser (1928–1999); Hans (1924-2019), a physicist who participated in the Manhattan Project; 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 until her death.

Publications

  • {{Citation | translator-first = E. J. | translator-last = McShane | orig-year= 1937
  • {{Citation | translator-first = E. J. | translator-last = McShane | orig-year= 1936
  • {{Citation
  • {{Citation
  • {{Citation
  • {{Citation | author2-link = David Hilbert | orig-date=1924 | date=2024 | isbn=978-3-527-41447-5 | title-link = Methods of Mathematical Physics | doi-access = free
  • {{Citation | author2-link = David Hilbert | orig-date=1924 | date=2024 | mr = 0140802 | title-link = Methods of Mathematical Physics | doi-access = free | author-link = Hermann Weyl | doi-access = free
  • {{Citation | author2-link = Kurt Otto Friedrichs | author-link = Chia Chiao Lin | doi-access = free | url-access = subscription
  • {{Citation | author2-link = Herbert Robbins | title-link = What is Mathematics?

References

Sources

  • {{cite book | url-access = registration

  • {{cite book

References

  1. John C. Urschel. "Nodal Decompositions of Graphs".
  2. Bergmann, Birgit. (2012-10-22). "Transcending Tradition: Jewish Mathematicians in German Speaking Academic Culture". Springer Science & Business Media.
  3. "Best Applied Math Programs". U.S.News.
  4. (1966). "review by E.I. of Introduction to Calculus and Analysis volume 1". Mathematics of Computation.
  5. Giuseppe Pelosi. (2007). "The finite-element method, Part I: R. L. Courant: Historical Corner". IEEE Antennas and Propagation Magazine.
  6. "APS Member History".
  7. "Richard Courant".
  8. Weaver, Warren. (1965). "Award for Distinguished Service to Professor Richard Courant". The American Mathematical Monthly.
  9. Schwartz, Harry. (1972-01-29). "Dr. Richard Courant Dies at 84; Influential Mathematics Scholar".
  10. ''The Parsimonious Universe'', Stefan Hildebrandt & Anthony Tromba, Springer-Verlag, 1996, page 148
  11. (1 March 2009). "Nelly Neumann". Jewish Women's Archive.
  12. "Hans Courant, 1924-2019 | School of Physics and Astronomy | College of Science and Engineering".
  13. "Hans COURANT Obituary (1924 - 2019) Pioneer Press".
  14. (December 2015). "Leonore Marianne Courant Berkowitz 1950 {{pipe}} In Memoriam {{pipe}} Reed Magazine".
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