# Mathematician:Ivan Morton Niven

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## Mathematician

Canadian-American mathematician, most noted for solving most of Waring's Problem.

Also notable for Niven numbers and Niven's constant.

Asteroid *12513 Niven*, discovered in 1998, was named after him.

## Nationality

Canadian-American

## History

- Born: October 25, 1915
- Died: May 9, 1999 in Eugene, Oregon, USA

## Theorems and Inventions

- Niven Numbers
- Niven's Constant
- Niven's Theorem
- Provided a simple proof that Pi is Irrational.

Results named for **Ivan Morton Niven** can be found here.

Definitions of concepts named for **Ivan Morton Niven** can be found here.

## Publications

- 1944:
*An unsolved case of the Waring problem*

- 1947:
*A simple proof that π is irrational*

- 1959:
*Mathematics: A house built on sand?*

- 1960:
*An Introduction to the Theory of Numbers*(with Herbert S. Zuckerman)- 1966:
*An Introduction to the Theory of Numbers, 2nd ed.*(with Herbert S. Zuckerman) - 1972:
*An Introduction to the Theory of Numbers, 3rd ed.*(with Herbert S. Zuckerman) - 1980:
*An Introduction to the Theory of Numbers, 4th ed.*(with Herbert S. Zuckerman) - 1991:
*An Introduction to the Theory of Numbers, 5th ed.*(with Herbert S. Zuckerman and Hugh L. Montgomery)

- 1966:

- 1969:
*Averages of Exponents in Factoring Integers*(*Proc. Amer. Math. Soc.***Vol. 22**,*no. 2*: pp. 356 – 360) www.jstor.org/stable/2037055

- 1969:
*Formal Power Series*(*Amer. Math. Monthly***Vol. 76**: pp. 871 – 889) www.jstor.org/stable/2317940