Historians have repeatedly asserted that invariant theory was born in two papers of George Boole (1841 and 1842). Although several themes and techniques of 19th-century invariant theory are enunciated in this work, in reacting to it (and thereby founding the British school of invariant theory), Arthur Cayley shifted Boole's research program.
...MoreDescription Explores Boole's work and the reaction to it by Arthur Cayley.
Article
Leandro Silva Dias;
Gerard Emile Grimberg;
(2015)
Algebra e Geometria Projectiva Analítica na Inglaterra dos anos 1841-1853
(/isis/citation/CBB920429654/)
Article
Parshall, Karen Hunger;
(2006)
The British Development of the Theory of Invariants (1841--1895)
(/isis/citation/CBB000850091/)
Article
Crilly, Tony;
(1986)
The rise of Cayley's invariant theory (1841-1862)
(/isis/citation/CBB000046929/)
Article
Crilly, Tony;
(1988)
The decline of Cayley's invariant theory (1863-1895)
(/isis/citation/CBB000066284/)
Article
Hawkins, Thomas;
(1977)
Another look at Cayley and the theory of matrices
(/isis/citation/CBB000022501/)
Article
Crilly, Tony;
(1978)
Cayley's anticipation of a generalised Cayley-Hamilton theorem
(/isis/citation/CBB000021526/)
Article
Crilly, Tony;
(2005)
Arthur Cayley FRS and the Four-Colour Map Problem
(/isis/citation/CBB000651783/)
Article
Paul R. Wolfson;
Tony Crilly;
Steven H. Weintraub;
(2017)
Arthur Cayley, Robert Harley and the Quintic Equation: Newly Discovered Letters 1859–1863
(/isis/citation/CBB131115050/)
Article
Deng, Ming-li;
Zhang, Hong-mei;
(2008)
The Historical Origins of the Unification of Geometries by Means of Group Theory
(/isis/citation/CBB000760575/)
Chapter
Peckhaus, Volker;
(2009)
The Mathematical Origins of Nineteenth-Century Algebra of Logic
(/isis/citation/CBB001210344/)
Article
Hailperin, Theodore;
(1981)
Boole's algebra isn't Boolean algebra
(/isis/citation/CBB000027350/)
Book
Crilly, Tony;
(2004)
Arthur Cayley: Mathematician Laureate of the Victorian Age
(/isis/citation/CBB000520066/)
Article
Wußing, Hans;
(2008)
Arthur Cayley und der abstrakte Gruppenbegriff
(/isis/citation/CBB001021147/)
Book
Desmond MacHale;
Yvonne Cohen;
(2018)
New Light on George Boole
(/isis/citation/CBB196236062/)
Thesis
David E. Dunning;
(2020)
Writing the Rules of Reason: Notations in Mathematical Logic, 1847–1937
(/isis/citation/CBB517005733/)
Article
Donal Murphy;
(2016)
George Boole and Walsh's Delusions
(/isis/citation/CBB926782871/)
Thesis
Lambert, Kevin Thomas;
(2005)
Mind over Matter: Language, Mathematics, and Electromagnetism in NineteenthCentury Britain
(/isis/citation/CBB001561644/)
Book
Brendan Dooley;
(2018)
The Continued Exercise of Reason: Public Addresses by George Boole
(/isis/citation/CBB539223859/)
Article
Simmons, Charlotte;
(2008)
William Rowan Hamilton and George Boole
(/isis/citation/CBB000931920/)
Article
Valente, K. G.;
(2010)
Giving Wings to Logic: Mary Everest Boole's Propagation and Fulfilment of a Legacy
(/isis/citation/CBB000933057/)
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