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List of real analysis topics
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==[[Mathematical analysis|Related fields of analysis]]== *'''[[Asymptotic analysis]]''' β studies a method of describing limiting behaviour *'''[[Convex analysis]]''' β studies the properties of convex functions and convex sets **[[List of convexity topics]] *'''[[Harmonic analysis]]''' β studies the representation of functions or signals as superpositions of basic waves **[[List of harmonic analysis topics]] *'''[[Fourier analysis]]''' β studies Fourier series and Fourier transforms **[[List of Fourier analysis topics]] **[[List of Fourier-related transforms]] *'''[[Complex analysis]]''' β studies the extension of real analysis to include complex numbers *'''[[Functional analysis]]''' β studies vector spaces endowed with limit-related structures and the linear operators acting upon these spaces *'''[[Nonstandard analysis]]''' β studies [[mathematical analysis]] using a rigorous treatment of [[infinitesimals]].
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