Continuity and discontinuity in geometry (Q2767841)

From MaRDI portal





scientific article; zbMATH DE number 1698690
Language Label Description Also known as
English
Continuity and discontinuity in geometry
scientific article; zbMATH DE number 1698690

    Statements

    0 references
    5 May 2002
    0 references
    geometry
    0 references
    irrationals
    0 references
    axioms
    0 references
    Riemannian geometry
    0 references
    Lie groups
    0 references
    Continuity and discontinuity in geometry (English)
    0 references
    The author sketches the development of a part of geometry which stretches from the beginnings in the Babylonian and Egyptian cultures over non-Euclidean and Riemannian geometry to Lie groups and symmetry groups of ornaments and cristallographic groups. Several statements dealing with not primarily geometric questions (like the claim that the discovery of incommensurability led to a foundational crisis of Greek mathematics, or giving credit to Michelson for the discovery that the speed of light is constant in any inertial reference frame) are not as commonly accepted as the author seems to think.NEWLINENEWLINEFor the entire collection see [Zbl 0976.00021].
    0 references

    Identifiers