Corry has done research on the development of modern algebra and number theory ( including computational number theory done by Harry Vandiver, D . H . Lehmer, and Emma Lehmer ) and the philosophy of mathematics ( including the Bourbaki Schoo ).
32.
Garrett Birkhoff and Saunders Mac Lane wrote in " A Survey of Modern Algebra " that this property, like the least upper bound axiom for real numbers, is non-algebraic; i . e ., it cannot be deduced from the algebraic properties of the integers ( which form an ordered integral domain ).
33.
They included " Survey of Modern Algebra, " with Saunders MacLane ( 1941, fourth edition 1977 ); " Hydrodynamics " ( 1950, revised edition 1960 ); " Jets, Wakes and Cavities, " with E . Zarantello ( 1957 ), and " Ordinary Differential Equations, " with G . C . Rota ( 1962, third edition 1978 ).
34.
Griffiths also wrote reviews of mathematical papers such as " Introduction to the Theory of Groups of Finite Order " ( 1939 ) by Robert Daniel Carmichael, " An Introduction to Abstract Algebra " ( 1941 ) by Cyrus Colton MacDuffee, and " A Survey of Modern Algebra by Garrett Birkhoff " ( 1942 ) by Saunders Mac Lane.
35.
Derivative ) in Romanian, which has the usual Latinate rules, but are ambiguous in English ( the title in Romanian I presume is Modern Treatise on Algebra or Treatise on Modern Algebra, that doesn't take a lot of doing except to know which is modern, the algebra or the treatise : that is a similar kind of ambiguity we have with this redirect in English ).