# Top real analysis (Trending topics)

The following are the current most viewed articles on Wikipedia within Wikipedia's Real analysis category. Think of it as a What's Hot list for Real analysis. More info »

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Rank Topic Wikipedia views
1 Limit (mathematics) 2,691 2 Monotonic function 1,610 3 0.999... 1,470 4 Convex hull 866 5 Real analysis 620 6 Bolzano–Weierstrass theorem 406 7 Support (mathematics) 406 8 Weierstrass function 405 9 Rolle's theorem 404 10 Indicator function 398 11 Gibbs phenomenon 359 12 Monotone convergence theorem 354 13 Dominated convergence theorem 328 14 Heine–Borel theorem 217 15 Absolute continuity 205 16 Zero-product property 198 17 Piecewise linear function 184 18 Pointwise convergence 173 19 Construction of the real numbers 162 20 Fatou's lemma 137 21 Generalizations of the derivative 127 22 Least upper bound axiom 124 23 Bounded variation 121 24 Oscillation (mathematics) 101 25 Summation by parts 98 26 Fermat's theorem (stationary points) 95 27 Cantor's first uncountability proof 94 28 Cauchy product 92 29 Abel's theorem 87 30 Càdlàg 87 31 List of real analysis topics 84 32 Egorov's theorem 69 33 Lusin's theorem 65 34 Nested intervals 58 35 Singular integral 56 36 Kakeya set 48 37 Logarithmically convex function 46 38 Darboux's theorem (analysis) 46 39 Real projective line 44 40 Lebesgue differentiation theorem 42 41 Fundamental axiom of analysis 39 42 Slowly varying function 36 43 Littlewood's three principles of real analysis 35 44 Bernstein's theorem 35 45 Dini derivative 34 46 Cantor's intersection theorem 34 47 Hardy's inequality 29 48 Continuous functions on a compact Hausdorff space 26 49 Steffensen's inequality 23 50 Vague topology 23 51 Maximal function 23 52 Vitali covering lemma 22 53 Vanish at infinity 21 54 Mercer's condition 21 55 Fatou–Lebesgue theorem 21 56 Maclaurin's inequality 21 57 Hadamard's lemma 20 58 Wiener's tauberian theorem 19 59 Birnbaum–Orlicz space 19 60 Uniformly Cauchy sequence 17 61 Hardy–Littlewood maximal function 17 62 Compact convergence 16 63 Interleave sequence 15 64 Muckenhoupt weights 15 65 Path space 14 66 Baire one star function 14 67 Carleman's inequality 14 68 Essential range 14 69 Zahorski theorem 13 70 Pinsky phenomenon 13 71 Rising sun lemma 13 72 Radially unbounded function 12 73 Anderson's theorem 10 74 Fatou's theorem 10 75 Prékopa–Leindler inequality 10 76 Cousin's theorem 9 77 Pompeiu derivative 9 78 Gδ space less than 5 views
79 Real analysis topics less than 5 views
80 Luzin N property less than 5 views
81 Layer cake representation less than 5 views
82 Analyst's traveling salesman theorem less than 5 views

# Encyclopedia

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

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Real analysis"

The following 81 pages are in this category, out of 81 total. This list may not reflect recent changes (learn more).

# Study guide

Up to date as of January 14, 2010

### From Wikiversity

This category is for articles listed under "Real Analysis"

## Pages in category "Real analysis"

This category contains only the following page.