Mathematician:Garrett Birkhoff

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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.




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

Theorems and Definitions

Results named for Garrett Birkhoff can be found here.

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


  • 1935: Orthogonality in linear metric spaces (Duke Math. J. Vol. 1: pp. 169 – 172)
  • 1936: On the order of groups of automorphisms (with Philip Hall)
  • 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)