real analysis

noun
UK /ˈrɪəl əˈnæl.ə.sɪs/
US /ˈriː.əl əˈnæl.ə.sɪs/

A kind of math that studies numbers and how they change in a careful, step-by-step way.

In real analysis, we learn why some numbers get closer and closer to a value without ever reaching it.


OTHER MEANINGS

2. The branch of mathematics dealing with real numbers, limits, and continuous functions.

She took a course in real analysis before studying differential equations.

3. A careful, detailed examination of something real or actual.

The team's real analysis of the problem showed it was simpler than expected.

4. In philosophy, the study of reality using logical and mathematical methods.

His paper offered a real analysis of time and change.