Chronology for 1940 to 1950

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1940
Baer introduces the concept of an injective module, then begins studying group actions in geometry.

1940
Aleksandrov introduces exact sequences.

1941
Linnik introduces the large sieve method in number theory.

1941
Abraham Albert starts work on nonassociative algebras.

1942
Steenrod publishes a paper in which "Steenrod squares" are introduced for the first time.

1942
Eilenberg and Mac Lane publish a paper which introduces "Hom" and "Ext" for the first time.

1943
Marshall Hall publishes on projective planes.

1943
Naimark proves the "Gelfand-Naimark theorem" on self-adjoint algebras of operators in Hilbert space.

1944
Von Neumann and Morgenstern publish Theory of Games and Economic Behaviour. The theory of games is used in the study of economics.

1944
Artin studies rings with the minimum condition, now called "Artinian rings".

1945
Eilenberg and Mac Lane introduce the terms "category" and "natural transformation".

1946
Weil publishes Foundations of Algebraic Geometry.

1947
George Dantzig introduces the simplex method of optimisation.

1948
Norbert Wiener publishes Cybernetics: or, Control and Communication in the Animal and the Machine. The term "cybernetics" is due to Wiener. The book details work done on the theory of information control, particularly applied to computers.

1948
Shannon invents information theory and applies mathematical methods to study errors in transmitted information. This becomes of vital importance in computer science and communications.

1948
Schwartz publishes Généralisation de la notion de fonction, de dérivation, de transformation de Fourier et applications mathématiques et physiques which is his first important publication on the theory of distributions.

1949
Mauchly and John Eckert build the Binary Automatic Computer (BINAC). One of the major advances of this machine is that data is stored on magnetic tape rather than on punched cards.

1949
Selberg and Erdös find an elementary proof of the prime number theorem that makes no use of complex function theory.

1950
Carnap publishes Logical Foundations of Probability.

1950
Hamming publishes a fundamental paper on error-detecting and error-correcting codes.

1950
Hodge puts forward the "Hodge Conjecture" on projective algebraic varieties.


List of mathematicians alive in 1940.

List of mathematicians alive in 1950.



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JOC/EFR August 2001

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