Ivan M. Niven

Get Ivan M. Niven essential facts below. View Videos or join the Ivan M. Niven discussion. Add Ivan M. Niven to your PopFlock.com topic list for future reference or share this resource on social media.

## Life

## Research

## Recognition

## Books

## External link

## See also

## References

This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.

Ivan M. Niven

Ivan M. Niven | |
---|---|

Born | October 25, 1915 |

Died | May 9, 1999 | (aged 83)

Academic background | |

Alma mater | |

Doctoral advisor | Leonard Eugene Dickson^{[1]} |

Academic work | |

Institutions | University of Oregon |

Doctoral students | Margaret Maxfield |

**Ivan Morton Niven** (October 25, 1915 – May 9, 1999) was a Canadian-American mathematician, specializing in number theory and known for his work on Waring's problem. He worked for many years as a professor at the University of Oregon, and was president of the Mathematical Association of America. He was the author of several books on mathematics.

Niven was born in Vancouver. He did his undergraduate studies at the University of British Columbia and was awarded his doctorate in 1938 from the University of Chicago.^{[1]} He was a member of the University of Oregon faculty from 1947 to his retirement in 1981.
He was president of the Mathematical Association of America (MAA) from 1983 to 1984.^{[2]}

He died in 1999 in Eugene, Oregon.

Niven wrote "A simple proof that ? is irrational" in 1946. 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 such that every positive integer is the sum of at most th powers of positive integers. David Hilbert had proved the existence of such a in 1909; Niven's work established the value of for all but finitely many values of .

Niven numbers, Niven's constant, and Niven's theorem are named for Niven.

He has an Erd?s number of 1 because he coauthored a paper with Paul Erd?s.^{[3]}

Niven received the University of Oregon's Charles E. Johnson Award in 1981. He received the MAA Distinguished Service Award in 1989.

He won a Lester R. Ford Award in 1970.^{[4]} In 2000, the asteroid 12513 Niven, discovered in 1998, was named after him.^{[5]}^{[6]}

- (1956)
*Irrational Numbers*(Carus Mathematical Monographs, Number 11)^{[7]} - (1960) (with Herbert S. Zuckerman)
*An Introduction to the Theory of Numbers*, Wiley^{[8]} - (1961)
*Calculus: An Introductory Approach*, Van Nostrand^{[9]}^{[10]}^{[11]}^{[12]} - (1961)
*Numbers: Rational and Irrational*, Random House - (1963)
*Diophantine Approximations*, Interscience - (1965)
*Mathematics of Choice: How to Count Without Counting*, MAA - (1981)
*Maxima and Minima Without Calculus*, MAA

- Donald Albers and G. L. Alexanderson. "A conversation with Ivan Niven",
*College Mathematics Journal*, 22, 1991, pp. 371-402.

- ^
^{a}^{b}Ivan M. Niven at the Mathematics Genealogy Project **^**MAA presidents: Ivan Niven**^**Erd?s, P.; Niven, I. (1946), "Some properties of partial sums of the harmonic series",*Bull. Amer. Math. Soc.*,**52**(4): 248-251, doi:10.1090/s0002-9904-1946-08550-x**^**Niven, Ivan (1969). "Formal power series".*Amer. Math. Monthly*.**76**(8): 871-889. doi:10.2307/2317940. hdl:10338.dmlcz/120493. JSTOR 2317940.**^**"AstDyS-2 Asteroids – Dynamic Site – (12513) Niven".*newton.spacedys.com*. Retrieved 2020.**^**"Asteroids with Canadian connections" (PDF),*Journal of the Royal Astronomical Society of Canada*,**94**(2): 47, April 2000, archived from the original (PDF) on 2005-02-16**^**Rosenbaum, R. A. (1959). "Review:*Irrational Numbers*by Ivan Niven. Carus Monograph, no. 11: New York, Wiley, 1956" (PDF).*Bull. Amer. Math. Soc*.**64**(2): 68-69. doi:10.1090/S0002-9904-1958-10170-6.**^**Whiteman, Albert Leon (1961). "Review:*An introduction to the theory of numbers*, by Ivan Niven and Herbert S. Zuckerman".*Bull. Amer. Math. Soc*.**67**(4): 339-340. doi:10.1090/s0002-9904-1961-10603-4.**^**Kaltenborn, H. S., Reviewed Work: Calculus: An Introductory Approach. by Ivan Niven The American Mathematical Monthly, vol. 69, no. 1, 1962, pp. 69-69. JSTOR, www.jstor.org/stable/2312762.**^**Bishop, R. L., Reviewed Work: Calculus, An Introductory Approach by Ivan Niven Pi Mu Epsilon Journal, vol. 3, no. 5, 1961, pp. 236-236. JSTOR, www.jstor.org/stable/24338116.**^**Goodstein, R. (1962). Calculus. An introductory approach. By I. Niven. Pp. 169. 36s. 1961. (D. van Nostrand, London). The Mathematical Gazette, 46(358), 333-333. doi:10.2307/3611795**^**Cobb, R. (1967). Calculus: An Introductory Approach. 2nd Edition. (University Series in Undergraduate Mathematics.) By Ivan Niven. Pp. viii, 202. 46s. 6d. 1967. (D. Van Nostrand Co. Ltd.). The Mathematical Gazette, 51(378), 330-330. doi:10.2307/3612954

This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.

Popular Products

Music Scenes

Popular Artists