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Arthur Cayley

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Arthur Cayley

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English mathematician (1821-1895)

OverviewAI-generated

Arthur Cayley (1821–1895) was a mathematician whose writings include *An elementary treatise on elliptic functions*, *A treatise on the higher plane curves*, and *The principles of book-keeping by double entry*. His collected mathematical papers, specifically Volume 3, are also part of his literary output. Open Library records indicate he authored 26 works, while Crossref lists five.

Cayley is recognized in the collections of the Royal Society and the American Academy Arts Sciences. His academic influence is reflected in an Erdős number of 3, and he has been referenced by 345 other encyclopedia articles.

Synthesized by Vinony from 15 facts across 6 sources: Wikidata, Crossref, MusicBrainz, Open Library, Vinony collections, Vinony graph. Generated from structured data (not the Wikipedia text) and checked against those facts — may still contain errors.

Person · Open Library

Born
1821
Died
1895
Works
26

Top works

  • An elementary treatise on elliptic functions
  • Traité de géométrie analytique (courbes planes)
  • The collected mathematical papers of Arthur Cayley.Vol. 3
  • The principles of book-keeping by double entry
  • A treatise on the higher plane curves

via Open Library + Wikidata

Music · MusicBrainz

Type
Person
Active from
1998-01-21

via MusicBrainz · CC0

~12 min read

Encyclopedic overview

Arthur Cayley (/ˈkeɪli/; 16 August 1821 – 26 January 1895) was an English mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years.

He postulated what is now known as the Cayley–Hamilton theorem—that every square matrix is a root of its own characteristic polynomial, and verified it for matrices of order 2 and 3. He was the first to define the concept of an abstract group, a set with a binary operation satisfying certain laws, as opposed to Évariste Galois' concept of permutation groups. In group theory, Cayley tables, Cayley graphs, and Cayley's theorem are named in his honour, as well as Cayley's formula in combinatorics.

Excerpted from Wikipedia’s “Arthur Cayley” article, available under the CC BY-SA 4.0 licence.