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Let us summarize: the calculus of operations, imported from France and extended by Babbage and Herschel, was an important mathematical research area in England between 1835 and 1865, [38, p.
From about 1860 the calculus of operations split into different areas, some of which are:
Gregory, the calculus of operations, and the Cambridge Mathematical Journal; developments in the theory of algebras over number fields; Emmy Noether's 1932 ICM lecture on non-commutative methods in algebraic number theory; and the arithmetization of algebraic geometry.
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