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1910

Russell and Whitehead publish the first volume of

1910

Steinitz gives the first abstract definition of a field in *Algebraische Theorie der Körper*.

1911

Sergi Bernstein introduces the "Bernstein polynomials" in giving a constructive proof of Weierstrass's theorem of 1885.

1912

Denjoy introduces the "Denjoy integral".

1913

Hardy receives a letter from Ramanujan. He brings Ramanujan to Cambridge and they go on to write five remarkable number theory papers together.

1913

Weyl publishes *Die Idee der Riemannschen Flache* which brings together analysis, geometry and topology.

1914

Hausdorff publishes *Grundzüge der Mengenlehre* in which he creates a theory of topological and metric spaces.

1914

Bieberbach introduces the "Bieberbach polynomials" which approximate a function that conformally maps a given simply-connected domain onto a disc.

1914

Harald Bohr and Edmund Landau prove their theorem on the distribution of zeros of the zeta function.

1915

Einstein submits a paper giving a definitive version of the general theory of relativity. (See this History Topic.)

1916

Bieberbach formulates the Bieberbach Conjecture.

1916

Macaulay publishes *The algebraic theory of modular systems* which studies ideals in polynomial rings. It contains many ideas which today occur in the theory of "Grobner bases".

1916

Sierpinski gives the first example of an absolutely normal number, that is a number whose digits occur with equal frequency in whichever base it is written.

1917

Kakeya poses his problem on minimising areas.

1919

Russell publishes *Introduction to Mathematical Philosophy* which had been largely written while he was in prison for anti-war activities.

1919

Hausdorff introduces the notion of "Hausdorff dimension", which is a real number lying between the topological dimension of an object and 3. It is used to study objects such as Koch's curve.

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.

List of mathematicians alive in 1910.

List of mathematicians alive in 1920.

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