# Mathematician:George David Birkhoff

## Contents

## Mathematician

American mathematician best known for what is now known as the Ergodic Theorem.

The father of Garrett Birkhoff.

## Nationality

American

## History

- Born: 21 March 1884, Overisel, Michigan
- Died: 12 November 1944, Cambridge, Massachusetts

## Theorems and Definitions

- Chromatic Polynomial
- Birkhoff's Axioms
- Birkhoff's Theorem (Relativity)
- Birkhoff's Theorem (Electromagnetism)
- Birkhoff's Ergodic Theorem
- Birkhoff-Grothendieck Theorem (with Alexander Grothendieck)
- Poincaré-Birkhoff-Witt Theorem (with Henri Poincaré and Ernst Witt)
- Birkhoff Interpolation
- Equidistribution Theorem

Axioms named for **George David Birkhoff** can be found here.

## Publications

- July 1904:
*On the Integral Divisors of $a^n-b^n$*(*Ann. Math.***Vol. 5**: 173 – 180) (with Harry Schultz Vandiver) www.jstor.org/stable/2007263 - 1906:
*General mean value and remainder theorems with applications to mechanical differentiation and quadrature* - 1907:
*Asymptotic Properties of Certain Ordinary Differential Equations with Applications to Boundary Value and Expansion Problems*(PhD thesis) - 1913:
*Proof of Poincaré's geometric theorem* - 1917:
*Dynamical Systems with Two Degrees of Freedom* - 1923:
*Relativity and Modern Physics*(with R. E. Langer) - 1927:
*Dynamical Systems* - 1931:
*Proof of the ergodic theorem* - 1932:
*A Set of Postulates for Plane Geometry (Based on Scale and Protractors)* - 1933:
*Aesthetic Measure* - 1937:
*Representability of Lie algebras and Lie groups by matrices* - 1938:
*Electricity as a Fluid* - 1941:
*Basic Geometry*(which contains Birkhoff's Axioms)