# 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
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
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

Updated live from Wikipedia, last check: May 22, 2013 08:18 UTC (52 seconds ago)

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.