::Mathematical analysis


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A strange attractor arising from a differential equation. Differential equations are an important area of mathematical analysis with many applications to science and engineering.

Mathematical analysis is a branch of mathematics that studies continuous change and includes the theories of differentiation, integration, measure, limits, infinite series, and analytic functions.<ref>Edwin Hewitt and Karl Stromberg, "Real and Abstract Analysis", Springer-Verlag, 1965</ref><ref>{{#invoke:citation/CS1|citation |CitationClass=web }}</ref>

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).

Mathematical analysis sections
Intro   History    Important concepts    Main branches    Other topics in mathematical analysis    Applications    See also    Notes    References    External links   

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