# Mathematician:Paul Richard Halmos

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## Mathematician

Hungarian-born mathematician who made fundamental advances in the areas of probability theory, statistics, operator theory, ergodic theory and functional analysis (in particular, Hilbert spaces).

Also famous for his widely-cited book *Naive Set Theory*.

## Nationality

Hungarian-American

## History

- Born: 3 March 1916, Budapest, Hungary
- Died: 2 Oct 2006, Los Gatos, California, USA

## Achievements

Definitions of concepts named for **Paul Richard Halmos** can be found here.

## Publications

- 1938:
*Invariants of Certain Stochastic Transformation: The Mathematical Theory of Gambling Systems*(PhD thesis) - 1942:
*Finite-Dimensional Vector Spaces* - 1949:
*Application of the Radon-Nikodym Theorem to the Theory of Sufficient Statistics*(with Leonard Savage) - 1950:
*Measure Theory* - 1951:
*Introduction to Hilbert Space and the Theory of Spectral Multiplicity* - 1956:
*Lectures on Ergodic Theory* - 1959:
*Entropy in Ergodic Theory* - 1960:
*Naive Set Theory* - 1962:
*Algebraic Logic* - 1963:
*Lectures on Boolean Algebras*

- 1978:
*Bounded Integral Operators on $L^2$ Spaces*(with V. Sunder) - 1985:
*I Want To Be a Mathematician: An Automathography* - 1987:
*I Have a Photographic Memory* - 1991:
*Problems for Mathematicians, Young and Old* - 1996:
*Linear Algebra Problem Book* - 1998:
*Logic as Algebra*(with Steven Givant) - 2008:
*Introduction to Boolean Algebras*(with Steven Givant)

## Notable Quotes

*It is security. Certainty. Truth. Beauty. Insight. Structure. Architecture. I see mathematics, the part of human knowledge that I call mathematics, as one thing -- one great, glorious thing.*

## Sources

- John J. O'Connor and Edmund F. Robertson: "Paul Richard Halmos": MacTutor History of Mathematics archive

- 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**Halmos, Paul Richard**(1916-2006)