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Precision Mathematics and Approximation Mathematics in Physics

Authors: R. Rompe; H.-J. Treder;

Precision Mathematics and Approximation Mathematics in Physics

Abstract

The year 1908 saw the publication for the first time of Felix Klein’s lectures on elementary mathematics, under the title Elementarmathematik vom Hoheren Standpunkte Aus.17† In this memorable work, Klein expresses himself repeatedly on fundamental questions of mathematics and their relation to mechanics and physics. In this connection, he writes that physics does not need exact mathematics, or Prazisionsmathematik, in itself and can amply get along with an Approximationsmathematik, because the measurement data of physics that underlie any theoretical mathematical treatment are necessarily afflicted by uncertainties—called forth by the inescapable existence of limits on the precision with which measurements can be performed.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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