Garrett Birkhoff was an American mathematician best known for the algebra book he wrote with Saunders Mac Lane. He was born in Princeton, New Jersey on 19 January 1911 and died in Water Mill, New York on 22 November 1996. He was a founder of lattice theory and universal algebra, co-author with Richard Pierce of the Pierce-Birkhoff conjecture, first stated in non-rigorous wording in 1956, and author of the Birkhoff representation theorem for distributive lattices.
Facts
Connections
Conjectures Posed
Source Pierce-Birkhoff Conjecture (Wikipedia)
In Branch
Source Garrett Birkhoff, Biography (MacTutor History of Mathematics)
Principal Result
Source Poincare-Birkhoff-Witt theorem (Wikipedia)
Proofs Credited
Source Birkhoff Polytope (Wikipedia)
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Source Garrett Birkhoff, Biography (MacTutor History of Mathematics)SummaryQuote, Summary
Garrett Birkhoff was an American mathematician best known for the algebra book he wrote with Saunders Mac Lane.
Sources
1. Garrett Birkhoff, Biography (MacTutor History of Mathematics)
SummaryQuote, Summary
Garrett Birkhoff was an American mathematician best known for the algebra book he wrote with Saunders Mac Lane.
2. Garrett Birkhoff (Wikipedia)
Poincare-Birkhoff-Witt theorem (Wikipedia)
Principal Result: Poincare-Birkhoff-Witt Theorem, Lead sentence of the article on the resultQuote, Principal Result: Poincare-Birkhoff-Witt Theorem, Lead sentence of the article on the result
It is named after Henri Poincaré, Garrett Birkhoff, and Ernst Witt.
Pierce-Birkhoff Conjecture (Wikipedia)
Wikimedia FoundationConjectures Posed: Pierce-Birkhoff Conjecture, LeadQuote, Conjectures Posed: Pierce-Birkhoff Conjecture, Lead
It was first stated, albeit in non-rigorous and vague wording, in the 1956 paper of Garrett Birkhoff and Richard S. Pierce.
Birkhoff Polytope (Wikipedia)
Wikimedia FoundationProofs Credited: Birkhoff-von Neumann Theorem, LeadQuote, Proofs Credited: Birkhoff-von Neumann Theorem, Lead
It is named after Garrett Birkhoff, and also called the assignment polytope, the polytope of doubly stochastic matrices, or the perfect matching polytope of the complete bipartite graph.
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