Numéricas

Numerics is a term used to describe properties, data, and methods related to numbers. In mathematics, it refers to numeric sets such as natural numbers, integers, rationals, real numbers, and complex numbers, which organize quantities and operations.

In computational practice, numeric data are represented by numeric types. These include integers, which store whole numbers; floating-point numbers, which model real numbers with finite precision; fixed-point numbers, used where a fixed scale is required; and complex numbers, with real and imaginary parts. Representation often follows standards such as IEEE 754, which introduces rounding, range limits, and possible precision errors in repeated operations.

Precision depends on the type chosen. Issues such as overflow, underflow, NaN, and infinity are common in numerical arithmetic. For contexts demanding exactness, arbitrary-precision libraries or exact arithmetic with rationals are used to avoid rounding errors.

Applications include science, engineering, statistics, and numerical mathematics, with methods such as solving linear systems, numerical integration and differentiation, interpolation, and the solution of differential equations. Handling of numbers also involves normalization, scaling, and data validation to maintain numerical consistency.

In summary, numerics covers the theory of numbers, their computer representation, and the techniques to quantify, approximate, and manipulate numerical quantities across diverse fields.