Chronology for 1910 to 1920

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1910
Russell and Whitehead publish the first volume of Principia Mathematica. They attempt to put the whole of mathematics on a logical foundation. They were able to provide detailed derivations of many major theorems in set theory, finite and transfinite arithmetic, and elementary measure theory. The third and final volume will appear three years later, while a fourth volume on geometry was planned but never completed.

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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JOC/EFR August 2001

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