Carl-Wilhelm Reinhold de Boor (born 3 December 1937) is 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, structure, space, models, and change.
History
On ...
and professor emeritus at the
University of Wisconsin–Madison
A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities ty ...
.
In 1993, de Boor was elected as a member into the
National Academy of Engineering
The National Academy of Engineering (NAE) is an American nonprofit, non-governmental organization. The National Academy of Engineering is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy ...
for contributions to numerical analysis and methods in particular numerical tools used in computer-aided design.
Early life
Born in
Stolp, Germany (now, as part of Poland, called
Słupsk
Słupsk (; , ; formerly german: Stolp, ; also known by several alternative names) is a city with powiat rights located on the Słupia River in the Pomeranian Voivodeship in northern Poland, in the historical region of Pomerania or more specific ...
), as the seventh of eight children born to Werner (an anti-Nazi Lutheran minister) and Toni de Boor in 1937, he fled in 1945 with his family, settling eventually in
Schwerin
Schwerin (; Mecklenburgisch dialect, Mecklenburgian Low German: ''Swerin''; Latin: ''Suerina'', ''Suerinum'') is the Capital city, capital and List of cities and towns in Germany, second-largest city of the northeastern States of Germany, German ...
, then part of
East Germany
East Germany, officially the German Democratic Republic (GDR; german: Deutsche Demokratische Republik, , DDR, ), was a country that existed from its creation on 7 October 1949 until its dissolution on 3 October 1990. In these years the state ...
. As a child, he was often ill, suffering from a variety of conditions. In 1955, young Carl took advantage of the temporary political thaw following
Joseph Stalin
Joseph Vissarionovich Stalin (born Ioseb Besarionis dze Jughashvili; – 5 March 1953) was a Georgian revolutionary and Soviet political leader who led the Soviet Union from 1924 until his death in 1953. He held power as General Secreta ...
's death in 1953, obtained a one-month visa to
West Germany
West Germany is the colloquial term used to indicate the Federal Republic of Germany (FRG; german: Bundesrepublik Deutschland , BRD) between its formation on 23 May 1949 and the German reunification through the accession of East Germany on 3 O ...
and biked there, then decided to stay when he learned there that his application to
Humboldt University
Humboldt-Universität zu Berlin (german: Humboldt-Universität zu Berlin, abbreviated HU Berlin) is a German public research university in the central borough of Mitte in Berlin. It was established by Frederick William III on the initiative of ...
(in
East Berlin
East Berlin was the ''de facto'' capital city of East Germany from 1949 to 1990. Formally, it was the Allied occupation zones in Germany, Soviet sector of Berlin, established in 1945. The American, British, and French sectors were known as ...
) for the study of chemistry had been turned down (because of his poor performance in mathematics). However,
Otto Friedrich
Otto Alva Friedrich (born 1929 Boston, Massachusetts; died April 26, 1995 Manhasset, New York), was an American author, and historian. The son of the political theorist, and Harvard professor Carl Joachim Friedrich, Otto Friedrich graduated fro ...
(a brother of Carl's father's first wife) was willing and able to help him. Two years later, he met and fell in love with Otto's niece, Matilda Friedrich, the daughter of
Carl Friedrich
Carl Joachim Friedrich (; ; June 5, 1901 – September 19, 1984) was a German-American professor and political theorist. He taught alternately at Harvard and Heidelberg until his retirement in 1971. His writings on state and constitutional theory ...
, the political scientist and constitutional scholar. With the support of the Friedrich family, Carl emigrated to the United States in 1959, learning English on his trip across the Atlantic (he could read
Beatrix Potter
Helen Beatrix Potter (, 28 July 186622 December 1943) was an English writer, illustrator, natural scientist, and conservationist. She is best known for her children's books featuring animals, such as ''The Tale of Peter Rabbit'', which was he ...
when he boarded the boat).
Education and career
Having earned only a high school diploma after three and a half years of study at
Hamburg University
The University of Hamburg (german: link=no, Universität Hamburg, also referred to as UHH) is a public research university in Hamburg, Germany. It was founded on 28 March 1919 by combining the previous General Lecture System ('' Allgemeines Vor ...
, de Boor entered
Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...
as a graduate student of mathematics. After working for a year as a research assistant to
Garrett Birkhoff
Garrett Birkhoff (January 19, 1911 – November 22, 1996) was an American mathematician. He is best known for his work in lattice theory.
The mathematician George Birkhoff (1884–1944) was his father.
Life
The son of the mathematician Geo ...
, he went to work for
General Motors
The General Motors Company (GM) is an American Multinational corporation, multinational Automotive industry, automotive manufacturing company headquartered in Detroit, Michigan, United States. It is the largest automaker in the United States and ...
Research in
Warren, Michigan
Warren is a city in Macomb County in the U.S. state of Michigan. The 2020 Census places the city's population at 139,387, making Warren the largest city in Macomb County, the third largest city in Michigan, and Metro Detroit's largest suburb.
T ...
, where he met
splines. He received his first postgraduate degree, a Ph.D. from the
University of Michigan
, mottoeng = "Arts, Knowledge, Truth"
, former_names = Catholepistemiad, or University of Michigania (1817–1821)
, budget = $10.3 billion (2021)
, endowment = $17 billion (2021)As o ...
, in 1966, and then became an assistant professor at
Purdue University
Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money ...
. In 1972, he accepted a position as professor of mathematics and computer science at the
University of Wisconsin–Madison
A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities ty ...
, working out of the UW's Army Math Research Center, which had
recently been bombed in opposition to the
Vietnam War
The Vietnam War (also known by #Names, other names) was a conflict in Vietnam, Laos, and Cambodia from 1 November 1955 to the fall of Saigon on 30 April 1975. It was the second of the Indochina Wars and was officially fought between North Vie ...
.
Research and teaching
A chief attraction of the UW job was the opportunity to work directly with
Isaac Schoenberg, considered the father of splines, the piecewise polynomials de Boor would further develop. In particular, he formulated a relatively fast and numerically stable
algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specificat ...
for calculating the values of
splines (used extensively in
computer-aided design
Computer-aided design (CAD) is the use of computers (or ) to aid in the creation, modification, analysis, or optimization of a design. This software is used to increase the productivity of the designer, improve the quality of design, improve c ...
and
computer graphics
Computer graphics deals with generating images with the aid of computers. Today, computer graphics is a core technology in digital photography, film, video games, cell phone and computer displays, and many specialized applications. A great de ...
), and advocated for the formulation of spline functions in terms of the basis splines, or
B-spline
In the mathematical subfield of numerical analysis, a B-spline or basis spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition. Any spline function of given degree can be expresse ...
s developed by
Schoenberg
Arnold Schoenberg or Schönberg (, ; ; 13 September 187413 July 1951) was an Austrian-American composer, music theorist, teacher, writer, and painter. He is widely considered one of the most influential composers of the 20th century. He was as ...
and
Curry
A curry is a dish with a sauce seasoned with spices, mainly associated with South Asian cuisine. In southern India, leaves from the curry tree may be included.
There are many varieties of curry. The choice of spices for each dish in tradit ...
.
He was a teacher, guiding numerous graduate students. He is the author of a number of works, including an introductory textbook on numerical analysis (with S.D. Conte) and a textbook on spline approximation. Carl has also worked with
MATLAB
MATLAB (an abbreviation of "MATrix LABoratory") is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks. MATLAB allows matrix manipulations, plotting of functions and data, implementation ...
extensively over the years and is the author of the Spline Toolbox.
Carl de Boor retired from the
University of Wisconsin–Madison
A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities ty ...
in 2003 and relocated to the Pacific Northwest, where he continues to work with colleagues on mathematical problems, and to travel. He currently lives on
Orcas Island
Orcas Island () is the largest of the San Juan Islands of the Pacific Northwest, which are in the northwestern corner of San Juan County, Washington.
History and naming of the island
The name "Orcas" is a shortened form of ''Horcasitas,'' fro ...
, in
Washington
Washington commonly refers to:
* Washington (state), United States
* Washington, D.C., the capital of the United States
** A metonym for the federal government of the United States
** Washington metropolitan area, the metropolitan area centered on ...
state, with his second wife,
Helen Bee, author of texts in
human development Human development may refer to:
* Development of the human body
* Developmental psychology
* Human development (economics)
* Human Development Index, an index used to rank countries by level of human development
* Human evolution, the prehistoric ...
, to whom he has been married since 1991. In addition to his emeritus status at the
University of Wisconsin–Madison
A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities ty ...
, he is also an affiliated professor at the
University of Washington
The University of Washington (UW, simply Washington, or informally U-Dub) is a public research university in Seattle, Washington.
Founded in 1861, Washington is one of the oldest universities on the West Coast; it was established in Seattle a ...
.
de Boor has been listed as an ISI Highly Cited Author in Mathematics by the
ISI Web of Knowledge, Thomson Scientific Company.
Awards
In 1997 he was elected to the
National Academy of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, 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 Nati ...
, and he received the 2003
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 and social scienc ...
in
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
.
National Science Foundation - The President's National Medal of Science
/ref> Other honors have included election to the American Academy of Arts and Sciences
The American Academy of Arts and Sciences (abbreviation: AAA&S) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and ...
in 1987 and the National Academy of Engineering
The National Academy of Engineering (NAE) is an American nonprofit, non-governmental organization. The National Academy of Engineering is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy ...
in 1993, honorary degrees from Purdue University
Purdue University is a public land-grant research university in West Lafayette, Indiana, and the flagship campus of the Purdue University system. The university was founded in 1869 after Lafayette businessman John Purdue donated land and money ...
and Technion (the Israel Institute of Technology), as well as membership in the German Academy of Sciences Leopoldina
The German National Academy of Sciences Leopoldina (german: Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften), short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founded ...
in Germany and the Polish Academy of Science
The Polish Academy of Sciences ( pl, Polska Akademia Nauk, PAN) is a Polish state-sponsored institution of higher learning. Headquartered in Warsaw, it is responsible for spearheading the development of science across the country by a society of ...
. He won the John von Neumann Lecture
The John von Neumann Prize (until 2019 named John von Neumann Lecture Prize) was established in 1959 with funds from IBM and other industry corporations, and is awarded for "outstanding and distinguished contributions to the field of applied ma ...
Prize from the Society for Industrial and Applied Mathematics
Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific socie ...
in 1996 and the John A. Gregory Award of Geometric Design in 2009.
Personal
Carl is a lover of music—especially classical, and more especially Johann Sebastian Bach
Johann Sebastian Bach (28 July 1750) was a German composer and musician of the late Baroque period. He is known for his orchestral music such as the '' Brandenburg Concertos''; instrumental compositions such as the Cello Suites; keyboard w ...
—walks, good food, and games of all sorts.
In 1981, he bought his first personal computer, an Apple II
The Apple II (stylized as ) is an 8-bit home computer and one of the world's first highly successful mass-produced microcomputer products. It was designed primarily by Steve Wozniak; Jerry Manock developed the design of Apple II's foam-m ...
with 32KB of memory with an old reel-to-reel tape recorder hooked up to store programs. He required his children to write any computer games they wished to play. With them he wrote an accounting program for tracking his checkbook, which he kept using long after the kids went to college, though he had to edit the program to use the Z key for recording a new transaction when the R key finally wore out, as well as implementations of a number of his children's favorite board games.
He is a lover of the quirky and easily enthralled by art. He used to keep a print of ''The Garden of Earthly Delights
''The Garden of Earthly Delights'' is the modern title given to a triptych oil painting on oak panel painted by the Early Netherlandish master Hieronymus Bosch, between 1490 and 1510, when Bosch was between 40 and 60 years old. It has bee ...
'' in his dining room, to the distress of some of his children and others.
Carl learned to play the cornet
The cornet (, ) is a brass instrument similar to the trumpet but distinguished from it by its conical bore, more compact shape, and mellower tone quality. The most common cornet is a transposing instrument in B, though there is also a sopr ...
, as a child, to combat asthma
Asthma is a long-term inflammatory disease of the airways of the lungs. It is characterized by variable and recurring symptoms, reversible airflow obstruction, and easily triggered bronchospasms. Symptoms include episodes of wheezing, cou ...
. He was also fed a vast quantity of raw eggs, whipped with a sprinkle of sugar, supposedly to help strengthen him during his early, sickly years. As a father, he made his children eat such egg treats.
During his Madison years, he played the bass drum in the neighborhood Fourth of July
Independence Day (colloquially the Fourth of July) is a federal holiday in the United States commemorating the Declaration of Independence, which was ratified by the Second Continental Congress on July 4, 1776, establishing the United States ...
parade, and each August celebrates his arrival in the United States, where he is a citizen.
References
Carl de Boor's curriculum vitae
* Y.K. Leong,
Carl de Boor: On wings of splines
''Imprints'' (newsletter of the Institute for Mathematical Sciences, National University of Singapore), Issue 5, 2004.
Selected publications by Carl de Boor:
* C. de Boor, On calculating with B-splines, ''J. Approx. Theory'' 6 (1972), 50–62.
* C. de Boor, ''A Practical Guide to Splines'', Springer-Verlag, 1978.
* C. de Boor and S.D. Conte, ''Elementary numerical analysis, an algorithmic approach'', McGraw-Hill, 1972 / 2000.
* C. de Boor, K. Hoellig and S. Riemenschneider, ''Box splines'', Springer-Verlag, 1993.
{{DEFAULTSORT:De Boor, Carl R.
1937 births
Living people
People from Słupsk
People from the Province of Pomerania
German emigrants to the United States
20th-century American mathematicians
21st-century American mathematicians
Numerical analysts
National Medal of Science laureates
University of Michigan alumni
University of Wisconsin–Madison faculty
Members of the United States National Academy of Sciences
Fellows of the Society for Industrial and Applied Mathematics
Members of the United States National Academy of Engineering
Members of the German Academy of Sciences Leopoldina