Carl De Boor
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Carl-Wilhelm Reinhold de Boor (born 3 December 1937) is an 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 ...
and professor emeritus at the
University of Wisconsin–Madison The University of Wisconsin–Madison (University of Wisconsin, Wisconsin, UW, UW–Madison, or simply Madison) is a public land-grant research university in Madison, Wisconsin, United States. It was founded in 1848 when Wisconsin achieved st ...
. 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 organization, nonprofit, NGO, non-governmental organization. It is part of the National Academies of Sciences, Engineering, and Medicine (NASEM), along with the National Academ ...
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 (; ; ) 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 specifically in its part known in contemporary Poland as Central Pomerania ...
), 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-Vorpommersch dialect, Mecklenburgisch-Vorpommersch Low German: ''Swerin''; Polabian language, Polabian: ''Zwierzyn''; Latin: ''Suerina'', ''Suerinum'') is the Capital city, capital and List of cities and towns in Germ ...
, then part of
East Germany East Germany, officially known as the German Democratic Republic (GDR), was a country in Central Europe from Foundation of East Germany, its formation on 7 October 1949 until German reunification, its reunification with West Germany (FRG) on ...
. 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 Dzhugashvili; 5 March 1953) was a Soviet politician and revolutionary who led the Soviet Union from 1924 until Death and state funeral of Joseph Stalin, his death in 1953. He held power as General Secret ...
's death in 1953, obtained a one-month visa to
West Germany West Germany was the common English name for the Federal Republic of Germany (FRG) from its formation on 23 May 1949 until German reunification, its reunification with East Germany on 3 October 1990. It is sometimes known as the Bonn Republi ...
and biked there, then decided to stay when he learned there that his application to
Humboldt University The Humboldt University of Berlin (, abbreviated HU Berlin) is a public university, public research university in the central borough of Mitte in Berlin, Germany. The university was established by Frederick William III of Prussia, Frederick W ...
(in
East Berlin East Berlin (; ) was the partially recognised capital city, capital of East Germany (GDR) from 1949 to 1990. From 1945, it was the Allied occupation zones in Germany, Soviet occupation sector of Berlin. The American, British, and French se ...
) for the study of chemistry had been turned down (because of his poor performance in mathematics). However,
Otto Friedrich Otto Alva Friedrich (1929 in Boston, Massachusetts – April 26, 1995 in Manhasset, New York), was an American author, and historian. The son of the political theorist, and Harvard professor Carl Joachim Friedrich, Otto Friedrich graduated fr ...
(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, 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 Heelis (; 28 July 186622 December 1943), usually known as Beatrix Potter ( ), was an English writer, illustrator, natural scientist, and conservationist. She is best known for her children's books featuring animals, such as '' ...
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 (, 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 Vorlesungswesen''), the Hamburg Colon ...
, de Boor entered
Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
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 Ge ...
, he went to work for
General Motors General Motors Company (GM) is an American Multinational corporation, multinational Automotive industry, automotive manufacturing company headquartered in Detroit, Michigan, United States. The company is most known for owning and manufacturing f ...
Research in
Warren, Michigan Warren is a city in Macomb County, Michigan, Macomb County in the U.S. state of Michigan. An inner-ring Metro Detroit, suburb of Detroit, Warren borders Detroit to the north, roughly north of downtown Detroit. The population was 139,387 at the ...
, where he met splines. He received his first postgraduate degree, a Ph.D. from the
University of Michigan The University of Michigan (U-M, U of M, or Michigan) is a public university, public research university in Ann Arbor, Michigan, United States. Founded in 1817, it is the oldest institution of higher education in the state. The University of Mi ...
, in 1966, and then became an assistant professor at
Purdue University Purdue University is a Public university#United States, public Land-grant university, land-grant research university in West Lafayette, Indiana, United States, and the flagship campus of the Purdue University system. The university was founded ...
. In 1972, he accepted a position as professor of mathematics and computer science at the
University of Wisconsin–Madison The University of Wisconsin–Madison (University of Wisconsin, Wisconsin, UW, UW–Madison, or simply Madison) is a public land-grant research university in Madison, Wisconsin, United States. It was founded in 1848 when Wisconsin achieved st ...
, working out of the UW's Army Math Research Center, which had recently been bombed in opposition to the
Vietnam War The Vietnam War (1 November 1955 – 30 April 1975) was an armed conflict in Vietnam, Laos, and Cambodia fought between North Vietnam (Democratic Republic of Vietnam) and South Vietnam (Republic of Vietnam) and their allies. North Vietnam w ...
.


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 Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algo ...
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 and art with the aid of computers. Computer graphics is a core technology in digital photography, film, video games, digital art, cell phone and computer displays, and many specialized applications. ...
), and advocated for the formulation of spline functions in terms of the basis splines, or
B-spline In numerical analysis, a B-spline (short for basis spline) is a type of Spline (mathematics), spline function designed to have minimal Support (mathematics), support (overlap) for a given Degree of a polynomial, degree, smoothness, and set of bre ...
s developed by Schoenberg and
Curry Curry is a dish with a sauce or gravy seasoned with spices, mainly derived from the interchange of Indian cuisine with European taste in food, starting with the Portuguese, followed by the Dutch and British, and then thoroughly internatio ...
. 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, implementat ...
extensively over the years and is the author of the Spline Toolbox. Carl de Boor retired from the
University of Wisconsin–Madison The University of Wisconsin–Madison (University of Wisconsin, Wisconsin, UW, UW–Madison, or simply Madison) is a public land-grant research university in Madison, Wisconsin, United States. It was founded in 1848 when Wisconsin achieved st ...
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, in northwestern Washington, United States. History and naming of the island The name "Orcas" is a shortened form of ''Horcasitas,'' from Juan Vicente de Güemes P ...
, in
Washington Washington most commonly refers to: * George Washington (1732–1799), the first president of the United States * Washington (state), a state in the Pacific Northwest of the United States * Washington, D.C., the capital of the United States ** A ...
state, with his second wife, Helen Bee, author of texts in
human development Human development may refer to: * Development of the human body ** This includes physical developments such as growth, and also development of the brain * Developmental psychology * Development theory * Human development (economics) * Human Develo ...
, to whom he has been married since 1991. In addition to his emeritus status at the
University of Wisconsin–Madison The University of Wisconsin–Madison (University of Wisconsin, Wisconsin, UW, UW–Madison, or simply Madison) is a public land-grant research university in Madison, Wisconsin, United States. It was founded in 1848 when Wisconsin achieved st ...
, he is also an affiliated professor at the
University of Washington The University of Washington (UW and informally U-Dub or U Dub) is a public research university in Seattle, Washington, United States. Founded in 1861, the University of Washington is one of the oldest universities on the West Coast of the Uni ...
. de Boor has been listed as an ISI Highly Cited Author in Mathematics by the
ISI Web of Knowledge The Web of Science (WoS; previously known as Web of Knowledge) is a paid-access platform that provides (typically via the internet) access to multiple databases that provide reference and citation data from academic journals, conference proceedi ...
, 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, 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 ...
, 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 science, behavior ...
in
mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
.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 (The Academy) 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 other ...
in 1987 and the
National Academy of Engineering The National Academy of Engineering (NAE) is an American Nonprofit organization, nonprofit, NGO, non-governmental organization. It is part of the National Academies of Sciences, Engineering, and Medicine (NASEM), along with the National Academ ...
in 1993, honorary degrees from
Purdue University Purdue University is a Public university#United States, public Land-grant university, land-grant research university in West Lafayette, Indiana, United States, and the flagship campus of the Purdue University system. The university was founded ...
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 (), in short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founded on 1 January 1652, based on academic models in Italy, it was originally named the ''Academi ...
in Germany and the
Polish Academy of Sciences The Polish Academy of Sciences (, 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 distinguished scholars a ...
. He won the John von Neumann Lecture 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 soci ...
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 (German: Help:IPA/Standard German, joːhan zeˈbasti̯an baχ ( – 28 July 1750) was a German composer and musician of the late Baroque music, Baroque period. He is known for his prolific output across a variety ...
—walks, good food, and games of all sorts. In 1981, he bought his first personal computer, an
Apple II Apple II ("apple Roman numerals, two", stylized as Apple ][) is a series of microcomputers manufactured by Apple Computer, Inc. from 1977 to 1993. The Apple II (original), original Apple II model, which gave the series its name, was designed ...
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'' in his dining room, to the distress of some of his children and others. Carl learned to play the cornet, as a child, to combat asthma. 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, known colloquially as the Fourth of July, is a federal holiday in the United States which commemorates the ratification of the Declaration of Independence by the Second Continental Congress on July 4, 1776, establishing th ...
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 Emigrants from West Germany 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 National Academy of Sciences Leopoldina