Applications Techniques from analysis are also found in other areas such as:Physical sciences The vast majority of classical mechanics, relativity, and quantum mechanics is based on applied analysis, ...
Calculus of variations deals with extremizing functionals, as opposed to ordinary calculus which deals with functions.Harmonic analysis deals with Fourier series and their abstractions.Geometric analy ...
Real analysis Main article: Real analysisReal analysis (traditionally, the theory of functions of a real variable) is a branch of mathematical analysis dealing with the real numbers and real-valued fu ...
Main article: Metric spaceIn mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined.Much of analysis happens in some metric space; the ...
Early results in analysis were implicitly present in the early days of ancient Greek mathematics. For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy. Later, Greek m ...
Mathematical analysis is a branch of mathematics that includes the theories of differentiation, integration, measure, limits, infinite series, and analytic functions. These theories are usually studie ...
