Category:Real analysis

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Real analysis is a traditional division of mathematical analysis, along with complex analysis and functional analysis. It is mainly concerned with the 'fine' (micro-level) behaviour of real functions, and related topics. See Category:Fourier analysis for topics in harmonic analysis.

Subcategories

There are 4 subcategories to this category shown below (more may be shown on subsequent pages).

C

• Convex analysis

I

• Integral calculus

L

• Lipschitz maps

S

• Smooth functions

Pages in category "Real analysis"

There are 61 pages in this section of this category.

List of real analysis topics * Real analysis 0 0.999... A Abel's theorem Absolute continuity B Bernstein's theorem Bolzano–Weierstrass theorem Bounded variation C Cantor's first uncountability proof Carleman's inequality Cauchy product Compact convergence Construction of real numbers Continuity property Convex hull Càdlàg D Darboux's theorem (analysis) Derivative (generalizations) Differintegral Dini derivative

D cont. Dominated convergence theorem E Egorov's theorem F Fatou's lemma Fermat's theorem (stationary points) Fundamental axiom of analysis G Geometric function theory Gibbs phenomenon H Hardy's inequality Hardy-Littlewood maximal function Heine–Borel theorem How to evaluate the limit of a real-valued function I Indicator function Integrable function Interleave sequence K Kakeya set L Least upper bound axiom Lebesgue differentiation theorem Lexicon (mathematics) Limit (mathematics) Littlewood's three principles of real analysis Logarithmically convex function

L cont. Luzin N property Luzin's theorem M MacLaurin's inequality Mercer's condition N Nested intervals O Oscillation (mathematics) P Path space Piecewise linear function Pointwise convergence R Real projective line Rolle's theorem S Summation by parts Support (mathematics) U Uniformly Cauchy sequence V Vanish at infinity Vitali covering lemma W Weierstrass function Wiener's tauberian theorem Z Zahorski theorem Zero-product property

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Categories: Mathematical analysis | Calculus

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• This page was last modified 18:08, 23 March 2007 by Wikipedia user Tsiaojian lee. Based on work by Wikipedia user(s) Salgueiro, Escarbot, 16@r, Ppntori, Yrithinnd, Charles Matthews and Lupin and Anonymous user(s) of Wikipedia.
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