# Mathematician:Henry John Stephen Smith

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## Mathematician

Irish mathematician remembered for his work in elementary divisors, quadratic forms, and the Smith-Minkowski-Siegel Mass Formula in number theory.

Devised the Smith Normal Form of a matrix.

Also worked on elliptic functions.

## Nationality

Irish (then part of Great Britain).

## History

- Born: 2 November 1826 in Dublin, Ireland
- Died: 9 February 1883 in Oxford, England

## Theorems and Definitions

- Smith-Minkowski-Siegel Mass Formula (with Hermann Minkowski and Carl Ludwig Siegel)
- Smith Normal Form
- Smith-Volterra-Cantor Set (with Vito Volterra and Georg Cantor)

Definitions of concepts named for **Henry John Stephen Smith** can be found here.

## Publications

- 1861:
*On systems of linear indeterminate equations and congruences*(*Phil. Trans. R. Soc.***Vol. 151**,*no. 1*: pp. 293 – 326) www.jstor.org/stable/108738

## Notable Quotes

*Arithmetic is one of the oldest branches, perhaps the very oldest branch, of human knowledge; and yet some of its most abstruse secrets lie close to its tritest truths.*- -- Quoted in 1937: Eric Temple Bell:
*Men of Mathematics*:*They Say: What Say They? : Let Them Say*

- -- Quoted in 1937: Eric Temple Bell:

## Also known as

The **Stephen** is sometimes omitted when reporting his name: **Henry John Smith**.

## Sources

- John J. O'Connor and Edmund F. Robertson: "Henry John Stephen Smith": MacTutor History of Mathematics archive

- 1937: Eric Temple Bell:
*Men of Mathematics*... (previous) ... (next):*They Say: What Say They? : Let Them Say* - 1998: David Nelson:
*The Penguin Dictionary of Mathematics*(2nd ed.) ... (previous) ... (next):**Smith, Henry John**(1826-83) - 2008: David Nelson:
*The Penguin Dictionary of Mathematics*(4th ed.) ... (previous) ... (next):**Smith, Henry John**(1826-83)