Continuity and discontinuity in geometry (Q2767841)
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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
5 May 2002
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geometry
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irrationals
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axioms
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Riemannian geometry
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Lie groups
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Continuity and discontinuity in geometry (English)
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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].
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