Ivan M. Niven

Ivan M. Niven

Ivan Morton Niven (October 25 1915 – May 9 1999) was a Canadian-American mathematician, specializing in number theory. He did his undergraduate studies at the University of British Columbia and was awarded his doctorate in 1938 from the University of Chicago. [MathGenealogy|id=6349] He was a member of the University of Oregon faculty from 1947 to his retirement in 1981. He received the University of Oregon's Charles E. Johnson Award in 1981.

Niven completed the solution of most of Waring's problem in 1944. This problem, based on a 1770 conjecture by Edward Waring, consists of finding the smallest number g(n) such that every positive integer is the sum of at most g(n) "n"th powers of positive integers. David Hilbert had proved the existence of such a g(n) in 1909; Niven's work established the value of g(n) for all but finitely many values of n.

He was president of the Mathematics Association of America (MAA) from 1983 to 1994. He received the MAA Distinguished Service Award in 1989.

He died in 1999 in Eugene, Oregon.

Niven numbers and Niven's constant are named in his honor; also, in 2000, the asteroid 12513 Niven, discovered in 1998, was named after him. He has an Erdős number of 1.

ee also

*Proof that π is irrational

References

* [http://www.rasc.ca/journal/pdfs/2000-Apr.pdf] Journal of the Royal Astronomical Society of Canada, April 2000 issue
* [http://hamilton.dm.unipi.it/cgi-bin/astdys/astibo?objects:Niven;main] Entry on (12513) Niven in AstDyS
*


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  • Ivan M. Niven — Ivan Morton Niven (* 25. Oktober 1915 in Vancouver; † 9. Mai 1999 in Eugene) war ein US amerikanisch kanadischer Mathematiker, der sich insbesondere mit Zahlentheorie (diophantische Approximation, additive Zahlentheorie, Irrationalitäts und… …   Deutsch Wikipedia

  • Ivan Morton Niven — Ivan Morton Niven. Ivan Morton Niven (25 de octubre de 1915 – 9 de mayo del 1999) fue un matemático estadounidense y canadiense. Se graduó en la universidad británica Columbia y cursó el doctorado en la universidad de Chicago. Fue miembro de la… …   Wikipedia Español

  • Ivan Niven — Ivan M. Niven Ivan Morton Niven (* 25. Oktober 1915 in Vancouver; † 9. Mai 1999 in Eugene) war ein US amerikanisch kanadischer Mathematiker, der sich insbesondere mit Zahlentheorie (diophantische Approximation, additive Zahlentheorie,… …   Deutsch Wikipedia

  • Niven — is a surname and given name, and may refer to: Surname Archibald C. Niven, US politician Bryan Niven, US artist David Niven, British film actor David Niven, Jr., British film actor Derek Niven, Scottish footballer Donald Niven Wheeler, accused… …   Wikipedia

  • Niven — ist der Familienname folgender Personen: Barbara Niven (* 1953), US amerikanische Schauspielerin David Niven (1909–1983), britischer Schauspieler George Niven (1929–2008), schottischer Fußballtorwart Ivan M. Niven (1915–1999), kanadisch /US… …   Deutsch Wikipedia

  • Ivan Niven — Pour les articles homonymes, voir Niven. Ivan Niven. Ivan Morton Niven (né le 25 octobre 1915 à Vancouver et mort le …   Wikipédia en Français

  • Niven-Konstante — Die Niven Konstante, benannt nach dem kanadisch amerikanischen Mathematiker Ivan M. Niven, ist eine mathematische Konstante aus der Zahlentheorie. Sie ist definiert als der asymptotische arithmetische Mittelwert der maximalen Exponenten der… …   Deutsch Wikipedia

  • Niven's constant — In number theory, Niven s constant, named after Ivan Niven, is the largest exponent appearing in the prime factorization of any natural number n on average . More precisely, if we define H(1) = 1 and H(n) = the largest exponent appearing in the… …   Wikipedia

  • Niven —  Cette page d’homonymie répertorie des personnes (réelles ou fictives) partageant un même patronyme. Patronymes Niven est le nom de famille de Archibald C. Niven (1803 1882), homme politique américain. Bryan Niven (né en 1979), photographe… …   Wikipédia en Français

  • Larry Niven — Larry Niven. Larry Niven / ˈlæri ˈnɪvən/, nacido en la ciudad de Los Ángeles (EE. UU.) en 1938, es un escritor de ciencia ficción estadounidense. Conocido sobre todo como el autor de la serie Mundo Anillo y también por el universo creado bajo el… …   Wikipedia Español

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