Chronology for 1920 to 1930

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1920
Takagi publishes his fundamental paper on class field theory.

1920
Hasse discovers the "local-global" principle.

1920
Siegel's dissertation is important in the theory of Diophantine approximations.

1920
Fundamenta Mathematica is founded by Sierpinski and Mazurkiewicz.

1921
Keynes publishes his Treatise on Probability in which he argues that probability is a logical relation and so it is objective. A statement involving probability relations has a truth-value independent of people's opinions. This is to have a profound effect on statistics as well as economics.

1921
Fisher introduces the concept of likelihood into statistics.

1921
Borel publishes the first in a series of papers on game theory and becomes the first to define games of strategy.

1921
Emmy Noether publishes Idealtheorie in Ringbereichen which is of fundamental importance in the development of modern abstract algebra.

1922
Richardson publishes Weather Prediction by Numerical Process. He is the first to apply mathematics, in particular the method of finite differences, to predicting the weather. The calculations are prohibitive by hand calculation and only the development of computers will make his idea a reality.

1922
Banach is awarded his habilitation for a thesis on measure theory. He begins his work on a development of normed vector spaces.

1922
Fraenkel attempts to put set theory into an axiomatic setting.

1922
Chebotaryov proves the density theorem on primes in an arithmetical progression.

1922
Fejér and Riesz publish an important work on conformal mappings.

1922
Kolmogorov constructs a summable function which diverges almost everywhere.

1923
Study publishes important work on real and complex algebras of low dimension.

1924
Alexander introduces the now famous "Alexander horned sphere".

1925
Fisher publishes Statistical Methods for Research Workers. He gives experimental and statistical methods which can be used in biology.

1925
Whitehead publishes Science and the Modern World. It results from a series of lectures given in the United States and serves as an introduction to his later metaphysics. He considers the growth, success, and impact of "scientific materialism" which is the notion that nature is merely matter and energy.

1925
Besicovitch solves "Kakeya's problem" on minimising areas.

1925
Krull proves the "Krull-Schmidt theorem" for decomposing abelian groups of operators.

1926
Reidemeister publishes an important book on knot theory: Knoten und gruppen.

1926
Artin and Schreier publish a paper on ordering formally real fields and real closed fields.

1926
Banach and Tarski publish the "Banach-Tarski paradox" in a joint paper in Fundamenta Mathematicae: Sur la decomposition des ensembles de points en parties respectivement congruentes.

1927
Emmy Noether, Helmut Hasse and Richard Brauer work on non-commutative algebras.

1927
Artin publishes his reciprocity law in Beweis des allgemeinen Reziprozitätsgesetzes.

1928
Von Mises publishes Probability, Statistics and Truth.

1928
Von Neumann proves the minimax theorem in game theory.

1928
Hopf introduces homology groups.

1929
Gelfond makes his Conjecture about the linear independence of algebraic numbers over the rational numbers.

1930
Van der Waerden's famous work Modern Algebra is published. This two volume work presents the algebra developed by Emmy Noether, Hilbert, Dedekind and Artin.

1930
Hurewicz proves his embedding theorem for separable metric spaces into compact spaces.

1930
Kuratowski proves his theorem on planar graphs.


List of mathematicians alive in 1920.

List of mathematicians alive in 1930.



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JOC/EFR August 2001

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