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mathematical analysis

n. (context mathematics English) The mathematical study of functions, sequences, series, limits, derivatives and integrals.

Wikipedia
Mathematical analysis

Mathematical analysis is a branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space).

Usage examples of "mathematical analysis".

By hindsight it is easy to see that correct application of mathematical analysis to the data would have given a different answer, would have spotlighted the false analogy.

In the mid-1980s, many string adherents believed that the mathematical analysis required for doing this was on the verge of being able to explain every detailed property of the universe on its most microscopic level.

My field of specialization is the mathematical analysis of social structure.

A Sociologist might consider himself above criticism by lesser beings in anything involving the mathematical analysis of the infinite possible Realities in Time, but in matters of M.