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Ivan M. Niven, the Glossary

Ivan Morton Niven (October 25, 1915 May 9, 1999) was a Canadian-American number theorist best remembered for his work on Waring's problem.^[1]

24 relations: American Journal of Mathematics, Bulletin of the American Mathematical Society, David Hilbert, Edward Waring, Eilenberg–Niven theorem, Erdős number, Eugene, Oregon, Harmonic series (mathematics), Harshad number, Leonard Eugene Dickson, List of minor planets: 12001–13000, Margaret Maxfield, Mathematical Association of America, Niven's constant, Niven's theorem, Number theory, Paul Erdős, Paul R. Halmos – Lester R. Ford Award, Proof that π is irrational, University of British Columbia, University of Chicago, University of Oregon, Vancouver, Waring's problem.
Canadian textbook writers
Presidents of the Mathematical Association of America

American Journal of Mathematics

The American Journal of Mathematics is a bimonthly mathematics journal published by the Johns Hopkins University Press.

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Bulletin of the American Mathematical Society

The Bulletin of the American Mathematical Society is a quarterly mathematical journal published by the American Mathematical Society.

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David Hilbert

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician and one of the most influential mathematicians of his time.

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Edward Waring

Edward Waring (15 August 1798) was a British mathematician. Ivan M. Niven and Edward Waring are number theorists.

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Eilenberg–Niven theorem

The Eilenberg–Niven theorem is a theorem that generalizes the fundamental theorem of algebra to quaternionic polynomials, that is, polynomials with quaternion coefficients and variables.

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Erdős number

The Erdős number describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers.

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Eugene, Oregon

Eugene is a city in and the county seat of Lane County, Oregon, United States.

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Harmonic series (mathematics)

In mathematics, the harmonic series is the infinite series formed by summing all positive unit fractions: \sum_^\infty\frac.

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Harshad number

In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base.

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Leonard Eugene Dickson

Leonard Eugene Dickson (January 22, 1874 – January 17, 1954) was an American mathematician.

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List of minor planets: 12001–13000

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Margaret Maxfield

Margaret Alice Waugh Maxfield (February 23, 1926 – December 20, 2016) was an American mathematician and mathematics book author.

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Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

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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".

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In mathematics, Niven's theorem, named after Ivan Niven, states that the only rational values of θ in the interval 0° ≤ θ ≤ 90° for which the sine of θ degrees is also a rational number are: \begin \sin 0^\circ &.

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Number theory

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.

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Paul Erdős

Paul Erdős (Erdős Pál; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. Ivan M. Niven and Paul Erdős are number theorists.

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Paul R. Halmos – Lester R. Ford Award

The Paul R. Halmos – Lester R. Ford Award (formerly known as the Lester R. Ford Award) is a $1,000 prize given annually by the Mathematical Association of America for authors of articles of expository excellence published in The American Mathematical Monthly or Mathematics Magazine.

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Proof that π is irrational

In the 1760s, Johann Heinrich Lambert was the first to prove that the number pi is irrational, meaning it cannot be expressed as a fraction a/b, where a and b are both integers.

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University of British Columbia

The University of British Columbia (UBC) is a public research university with campuses near Vancouver and Okanagan, in British Columbia, Canada.

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University of Chicago

The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois.

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University of Oregon

The University of Oregon (UO, U of O or Oregon) is a public research university in Eugene, Oregon.

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Vancouver

Vancouver is a major city in western Canada, located in the Lower Mainland region of British Columbia.

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Waring's problem

In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers.

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References

[1] https://en.wikipedia.org/wiki/Ivan_M._Niven

Also known as Ivan M Niven, Ivan Morton Niven, Ivan Niven.