anàlisi

Anàlisi is the Catalan term for analysis, derived from the Greek word analusis, meaning a breaking up or untying. In general use, it denotes a systematic examination of the components, structure, or meaning of a subject to understand it better or to draw conclusions.

In mathematics, anàlisi refers to the broad field that studies limits, continuity, differentiation, integration, and related notions of convergence and approximation. Major subfields include real analysis (real-valued functions on real numbers), complex analysis (functions of a complex variable), functional analysis (spaces of functions and linear operators), measure theory (rigorous foundations of integration), harmonic analysis (decomposing functions into basic waves), and analysis on manifolds or calculus of variations. The development of rigorous analysis paralleled advances in calculus from the 17th to the 19th centuries and matured further in the 20th century.

Outside mathematics, anàlisi is used to describe systematic examination in various domains, such as linguistic analysis, literary analysis, and data analysis (anàlisi de dades). It also appears in philosophy, logic, statistics, and the social sciences to denote critical interpretation, argument assessment, or problem solving.

In educational or professional contexts, references to Anàlisi often denote the application of methodological rigor, evidence evaluation, and structured interpretation of phenomena, texts, or datasets.