# Mathematician:Garrett Birkhoff

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## Contents

## Mathematician

American mathematician mainly working in mathematical physics and abstract algebra.

Also wrote plenty of text books: his *Lattice Theory* (1940) is much cited.

The son of George David Birkhoff.

## Nationality

American

## History

- Born: January 19, 1911, Princeton, New Jersey, USA
- Died: November 22, 1996, Water Mill, New York, USA

## Theorems and Definitions

- Birkhoff Polytope
- Birkhoff's Representation Theorem
- Birkhoff's HSP Theorem
- Pierce-Birkhoff Conjecture (with Richard Scott Pierce)

Results named for **Garrett Birkhoff** can be found here.

Definitions of concepts named for **Garrett Birkhoff** can be found here.

## Publications

- 1936:
*On the order of groups of automorphisms*(with Philip Hall) - 1940:
*Lattice Theory, 1st ed.* - 1941:
*A Survey of Modern Algebra*(with Saunders Mac Lane) - 1948:
*Lattice Theory, 2nd ed.* - 1950:
*Hydrodynamics: A study in logic, fact, and similitude* - 1956:
*Lattice-ordered rings*(*Anais da Academia Brasileira de Ciências*28) (with R. Pierce) (in which the Pierce-Birkhoff Conjecture was first posited) - 1957:
*Jets, Wakes, and Cavities*(with E. Zarantello) - 1962:
*Ordinary Differential Equations*(with Gian-Carlo Rota) - 1965:
*A Brief Survey of Modern Algebra*(with Saunders Mac Lane) (second revised edition of*A Survey of Modern Algebra*from $1941$) - 1967:
*Algebra*(with Saunders Mac Lane) - 1967:
*Lattice Theory, 3rd ed.* - 1970:
*Modern Applied Algebra*(with Thomas C. Bartee) - 1973:
*Source Book in Classical Analysis*