analysis

A careful study of something and its parts to understand how it works or what it means.

• We need an analysis of the problem.
• Her analysis showed why sales had fallen.
• The scientists completed several chemical analyses.

How to use it: analysis of something (The report includes an analysis of the results.)

Similar words: examination, study

Common phrases: analysis of something, detailed analysis, data analysis

The area of mathematics that studies changing quantities, functions, and how values approach limits.

• She studies mathematical analysis.
• Real analysis examines limits and continuous functions.
• Our analysis course includes a chapter on integration.

Common phrases: real analysis, complex analysis, mathematical analysis

A way of proving something by reasoning from facts already known to be true.

• He established the claim by analysis.
• The philosopher used analysis to reach the conclusion.
• Their analysis began with two accepted truths.

Similar words: deduction

Common phrases: proof by analysis, logical analysis