What are pure mathematics?

  • (noun): The branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness.

Pure Mathematics

Broadly speaking, pure mathematics is mathematics which studies entirely abstract concepts. From the eighteenth century onwards, this was a recognized category of mathematical activity, sometimes characterized as speculative mathematics, and at variance with the trend towards meeting the needs of navigation, astronomy, physics, engineering, and so on. Another insightful view put forth is that pure mathematics is not necessarily applied mathematics.

Read more about Pure Mathematics.

Some articles on pure mathematics:

Prolegomena To Any Future Metaphysics - Contents - Part One of The Main Transcendental Problem. How Is Pure Mathematics Possible?
... Mathematics consists of synthetic a priori knowledge ... to produce such a priori knowledge? If we understand the origins of mathematics, we might know the basis of all knowledge that is not derived from experience ... Mathematics is not an analysis of concepts ...
Pure Mathematics - Subfields
... In some ways it is the most accessible discipline in pure mathematics for the general public for instance the Goldbach conjecture is easily stated (but is yet to be proved or disproved) ...
School Of Mathematics, University Of Manchester - History
... and shared their interest in applications of mathematics to mechanics.' In 1907 famous analyst and number theorist J.E ... Mordell then went on to become Fielden Reader in Pure Mathematics at VUM in 1922 and then held the Fielden Chair in 1923 ... Fluid dynamicist Sydney Goldstein held the Beyer Chair of Applied Mathematics from 1945 to 1950, and was succeeded from 1950 to 1959 by James Lighthill, also a fluid dynamicist ...
Herchel Smith Professorship Of Pure Mathematics
... The Herchel Smith Professorship of Pure Mathematics is a professorship in pure mathematics at the University of Cambridge ... full endowment of five Professorships in the fields of Pure Mathematics, Physics, Biochemistry, Molecular Biology, and Molecular Genetics." When the position was ...
Inspiration, Pure and Applied Mathematics, and Aesthetics
... Mathematics arises from many different kinds of problems ... and many problems arise within mathematics itself ... fundamental forces of nature, continues to inspire new mathematics ...

Famous quotes containing the words mathematics and/or pure:

    The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.
    Willard Van Orman Quine (b. 1908)

    The poet is he who can write some pure mythology today without the aid of posterity.
    Henry David Thoreau (1817–1862)