The mathematization of the individual sciences - revisited
Bernhelm Booss-Bavnbek
TL;DR
This paper revisits a 35-year-old systematic study on how individual sciences have integrated mathematics, comparing past findings with recent advances in physics, medicine, economics, and spectral geometry.
Contribution
It provides a comparative analysis of historical and recent developments in the mathematization of sciences, highlighting ongoing trends and shifts.
Findings
Mathematization has evolved differently across disciplines.
Recent developments show increased integration of advanced mathematics.
Historical patterns inform current scientific methodologies.
Abstract
We recall major findings of a systematic investigation of the mathematization of the individual sciences, conducted by the author in Bielefeld some 35 years ago under the direction of Klaus Krickeberg, and confront them with recent developments in physics, medicine, economics, and spectral geometry.
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Taxonomy
TopicsMathematical and Theoretical Analysis · Mathematical Dynamics and Fractals · History and Theory of Mathematics