# Top mathematical analysis (Trending topics)

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

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Rank Topic Wikipedia views
1 Derivative 10,132
2 Big O notation 4,678
3 Division by zero 2,668
4 Asymptote 2,336
5 Probability theory 2,233
6 Weighted mean 2,057
7 Numerical analysis 1,815
8 Maxima and minima 1,711
9 Differential calculus 1,667
10 Simpson's rule 1,326
11 Moment (mathematics) 1,247
12 Metric space 1,242
13 Convex function 1,219
14 Finite difference 1,196
15 Mathematical analysis 1,158
16 Power series 1,126
17 Complex analysis 1,110
18 Fourier analysis 1,073
19 Calculus of variations 856
20 Mathematical singularity 729
21 Differentiable function 709
22 Concave function 648
23 Cauchy sequence 623
24 Continued fraction 613
25 Smooth function 613
26 Convex set 580
27 Total derivative 561
28 Jensen's inequality 559
29 Improper integral 517
30 3-sphere 386
31 Harmonic analysis 380
32 Integral transform 372
33 Classification of discontinuities 368
34 Monotone convergence theorem 354
35 Rate of convergence 321
36 Multiplicity (mathematics) 314
37 Fractional calculus 308
38 Bounded function 299
39 Neighbourhood (mathematics) 299
40 Hyperreal number 295
41 Divergent series 261
42 Convergence tests 252
43 Weight function 240
44 Non-standard analysis 234
45 Absolute convergence 229
46 Cauchy principal value 229
47 Extended real number line 221
48 Quasiconvex function 216
49 Bounded set 214
50 Stone–Weierstrass theorem 201
51 Functional equation 192
52 Holonomic 185
53 Banach fixed point theorem 181
54 Characterizations of the exponential function 173
55 Haar measure 168
56 Second derivative 166
57 Symmetry of second derivatives 164
58 Semi-continuity 161
59 Regularization (mathematics) 153
60 Nowhere continuous function 149
61 Total variation 149
62 Asymptotic expansion 145
63 Infinite product 137
64 Ramp function 130
65 Bounded variation 121
66 Convex combination 116
67 Ramanujan summation 114
68 Cesàro summation 112
69 Pappus's centroid theorem 103
70 Hyperbolic growth 101
71 Poincaré inequality 99
72 Stationary phase approximation 97
73 Solving quadratic equations with continued fractions 95
74 Weighted geometric mean 91
76 Elasticity of a function 87
77 Integrability 82
78 Least-squares spectral analysis 81
79 Dirichlet kernel 81
80 Vertical tangent 81
82 Hemicontinuity 75
83 Moment problem 74
84 Equicontinuity 71
85 Logarithmically concave function 71
86 Convergent (continued fraction) 71
87 Function of a real variable 69
88 Monodromy 67
89 Conditional convergence 64
91 Dirichlet's principle 58
92 Constructive analysis 57
93 Ant on a rubber rope 56
94 Convex analysis 55
95 Almost periodic function 53
96 Geometric analysis 51
97 Properties of polynomial roots 51
98 Indefinite sum 50
99 Zeta function regularization 48
100 Volterra integral equation 46
101 Asymptotic theory 45
102 Borel summation 44
103 Modes of convergence (annotated index) 44
104 List of convexity topics 43
105 Semi-differentiability 41
106 Elliptic boundary value problem 40
107 Limits of integration 40
108 Epigraph (mathematics) 39
109 Partition of an interval 38
110 Khintchine inequality 38
111 Invex function 37
112 Periodic continued fraction 35
113 Fundamental recurrence formulas 34
114 Dini's theorem 32
115 Bounded mean oscillation 32
116 Unconditional convergence 29
117 Increment theorem 29
118 Fourier algebra 29
119 Function series 28
121 Uniform boundedness 27
122 Stress majorization 27
123 Conical combination 26
124 Quantum calculus 25
125 Polylogarithmic 24
126 Coincidence point 24
127 Froda's theorem 24
128 Wirtinger derivatives 24
129 Engel expansion 23
130 Interchange of limiting operations 23
131 Differential coefficient 23
132 Exhaustion by compact sets 22
133 Markov brothers' inequality 22
134 General Dirichlet series 22
135 Convergence problem 21
136 Agmon's inequality 21
137 Barlow's formula 21
138 Wave front set 20
139 Smooth infinitesimal analysis 20
140 Caccioppoli set 20
141 Positive invariant set 20
142 Arithmetization of analysis 19
143 Bernstein's inequality (mathematical analysis) 19
144 Kantorovich inequality 18
145 Negligible function 18
146 Remez inequality 18
147 Analysis on fractals 18
148 Whittaker and Watson 17
149 Non-classical analysis 16
150 Eikonal approximation 16
151 Timeline of calculus and mathematical analysis 16
152 Indefinite product 16
153 Local boundedness 15
154 Pompeiu problem 15
155 Normal convergence 15
156 FBI transform 15
157 Hypograph (mathematics) 15
158 Lebesgue point 14
159 Baire function 14
160 H square 14
161 Superslow process 14
162 Negligible set 13
163 Mountain pass theorem 13
164 Whitney extension theorem 13
165 Uniform absolute-convergence 13
166 Computable analysis 13
167 Distortion (mathematics) 13
168 Isoperimetric dimension 12
169 Silverman–Toeplitz theorem 12
170 Stieltjes moment problem 12
171 Multiple rule-based problems 12
172 Chebyshev–Markov–Stieltjes inequalities 12
173 Carleman's condition 12
174 Regulated function 12
175 Dini continuity 12
176 Chisini mean 11
177 Abel function 11
178 Cauchy index 10
179 Oscillatory integral 10
180 Bessel–Clifford function 10
181 Hypertranscendental function 10
182 Łojasiewicz inequality 10
183 Reach (mathematics) 10
184 Helly's selection theorem 9
185 Summa (mathematics) 9
186 Rvachev function 8
187 Harmonic differential 8
188 Fraňková–Helly selection theorem 7
189 Carleman matrix 6
190 Darboux's formula 6
191 Reduced derivative 6
192 Fabius function 6
193 Parker-Sochacki method less than 5 views
194 Flat function less than 5 views
195 Gradient conjecture less than 5 views
196 Uniform absolute continuity less than 5 views
197 Convexity topics less than 5 views
198 Almost convergent sequence less than 5 views
199 Minima and maxima (introduction) less than 5 views
200 Approximate limit less than 5 views

# Encyclopedia

The main article for this category is Mathematical analysis.

Analysis is a branch of mathematics that deals with real numbers and complex numbers and their functions. It has its beginnings in the rigorous formulation of calculus and it studies concepts such as continuity, integration and differentiability in general settings.

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## Subcategories

This category has the following 33 subcategories, out of 36 total.

## Pages in category "Mathematical analysis"

The following 167 pages are in this category, out of 188 total. This list may not reflect recent changes (learn more).

### S

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# Study guide

Up to date as of January 14, 2010

### From Wikiversity

[[[it:Categoria:Analisi matematica]]

## Subcategories

This category has the following 3 subcategories, out of 3 total.

# Wikibooks

Up to date as of January 23, 2010

### From Wikibooks, the open-content textbooks collection

This category contains books on mathematical analysis: the branch of mathematics most explicitly concerned with the notion of a limit, whether the limit of a sequence or the limit of a function. It also includes the theories of differentiation, integration and measure, infinite series, and analytic functions. These theories are often studied in the context of real numbers, complex numbers, and real and complex functions.

## Related categories

The following 13 related categories may be of interest, out of 13 total.

## Books or Pages

The following 12 pages are in this category, out of 12 total.