He is an expert in harmonic analysis.

Real analysis is a branch of mathematics that studies the properties of real numbers and the functions on them.

He is an expert in analytical mechanics and deeply understands its theory.

He is majoring in analysis at university.

Numerical analysis is a branch of mathematics that studies techniques and theories for solving mathematical problems numerically.

Functional analysis is a branch of mathematics that studies the properties of functions in infinite-dimensional spaces.

I learned the basics of conformational analysis in chemistry class.