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'mathematical analysis' is correct and usable in written English.
You could use it when referring to the application of mathematical techniques to solve a problem or explain a concept. For example, "The mathematical analysis of this data reveals that it is not statistically significant."
Dictionary
mathematical analysis
noun
The mathematical study of functions, sequences, series, limits, derivatives and integrals.
synonyms
Exact(60)
Papers dealing with applications of mathematical analysis will be limited to those that contain a significant treatment of mathematics and not routine applications of mathematical analysis.
The mathematical analysis is as follows.
Mathematical analysis of decision making.
Thermodynamics is the mathematical analysis of energy relationships.
Mr. Samuelson pushed mathematical analysis to new levels of sophistication.
Using mathematical analysis, Thomson drew generalizations from experimental results.
She uses mathematical analysis to reveal principles of biological organization.
The problem illustrates the limitations of mathematical analysis.
The mathematical analysis is deduced.
For one thing, some aspects of altruism lend themselves to mathematical analysis, he explained.
A Predictive Principle Mr. Samuelson pushed mathematical analysis to new levels of sophistication.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com