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Mathematical analysis

Table of contents

Asymptotic analysis

Asymptotic theory (statistics)

U-statistics

Asymptotic distribution

Central limit theorem

Central limit theorem for directional statistics

Consistency (statistics)

Consistent estimator

Cornish–Fisher expansion

Dvoretzky–Kiefer–Wolfowitz inequality

Glivenko–Cantelli theorem

Law of large numbers

Law of the iterated logarithm

Local asymptotic normality

Markov chain central limit theorem

Slutsky's theorem

Stochastic equicontinuity

U-statistic

V-statistic

Extrapolation

Tauberian theorems

Abelian and Tauberian theorems

Haar's Tauberian theorem

Hardy–Littlewood Tauberian theorem

Littlewood's Tauberian theorem

Slowly varying function

Wiener–Ikehara theorem

Activation energy asymptotics

Asymptotic homogenization

Big O notation

Borel's lemma

Contraction principle (large deviations theory)

Dawson–Gärtner theorem

Distinguished limit

Divergent series

Summability methods

1 + 1 + 1 + 1 + ⋯

1 + 2 + 3 + 4 + ⋯

1 − 1 + 2 − 6 + 24 − 120 + ⋯

1 − 2 + 3 − 4 + ⋯

1 − 2 + 4 − 8 + ⋯

Divergent geometric series

Grandi's series

Harmonic series (mathematics)

History of Grandi's series

Occurrences of Grandi's series

Summation of Grandi's series

Euler–Maclaurin formula

Exponentially equivalent measures

Freidlin–Wentzell theorem

Galactic algorithm

Hajek projection

Iterated logarithm

L-notation

Large deviations theory

Cramér's theorem (large deviations)

Leading-order term

Limit (mathematics)

Linear predictive analysis

Method of Chester–Friedman–Ursell

Method of dominant balance

Method of matched asymptotic expansions

Quadratic growth

Rate function

Schilder's theorem

Slowly varying envelope approximation

Stokes phenomenon

Tilted large deviation principle

Transseries

Varadhan's lemma

Watson's lemma

Fields of mathematical analysis

Calculus

Fractional calculus

History of calculus

Integral calculus

Mathematical series

Multivariable calculus

Non-Newtonian calculus

Theorems in calculus

AP Calculus

Calculus on Euclidean space

Continuous function

Cours d'Analyse

Differential (mathematics)

Dirichlet average

Donald Kreider

Elementary Calculus: An Infinitesimal Approach

Euler spiral

Even and odd functions

Evolution of the human oral microbiome

Gabriel's horn

Hermitian function

Hyperinteger

Infinitesimal

Integral of inverse functions

John Wallis

List of calculus topics

List of mathematical functions

Nonstandard calculus

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Mathematical analysis by

Ciro Santilli 32 Updated 2024-09-15 Created 1970-01-01

A fancy name for calculus, with the "more advanced" connotation.

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