Category:Mathematical analysis

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Mathematical analysis

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

The main article for this category is Mathematical analysis.

Subcategories

There are 28 subcategories to this category shown below (more may be shown on subsequent pages).

A Analytic number theory Asymptotic analysis C Calculus Calculus of variations Complex analysis Continuous mappings D Differential operators Dynamical systems E Ergodic theory

F Finite differences Fixed points Fourier analysis Fractals Functional analysis G Generalized functions H Harmonic analysis I Inequalities Interpolation Inverse functions

M Mathematical analysts Means N Norms (mathematics) Numerical analysis O Optimization P Perturbation theory R Real analysis S Sequences and series µ Mathematical analysis stubs

Pages in category "Mathematical analysis"

There are 152 pages in this section of this category.

* Mathematical analysis 3 3-sphere A Abelian and tauberian theorems Absolute convergence Affinely extended real number system Almost convergent sequence Almost periodic function Asymptote Asymptotic distribution Asymptotic expansion Asymptotic theory B Baire function Banach fixed point theorem Bernstein's inequality (mathematical analysis) Bessel-Clifford function Big O notation Borel summation Bounded function Bounded mean oscillation Bounded set Bounded variation C Caccioppoli set Calculus of variations Carleman's condition Cauchy index Cauchy principal value Cauchy sequence Cesàro summation Characterizations of the exponential function Chebyshev-Markov-Stieltjes inequalities Chisini mean Classification of discontinuities Coincidence point Complex analysis Concave function Constructivist analysis Continued fraction Convergence problem Convergence tests Convergent (continued fraction) Convex analysis Convex combination Convex function Convex set D Darboux function Difference operator Differintegral Dirichlet kernel Dirichlet principle Divergent series

D cont. Division by zero E Elasticity (mathematics) Engel expansion Exhaustion by compact sets F Finite difference Fractional calculus Fraňková-Helly selection theorem Function of a real variable Function series Functional equation Fundamental recurrence formulas G Geometric analysis Geometric continuity Geometric function theory Gradient conjecture Grunwald-Letnikov differintegral H Haar measure Half iterate Harmonic analysis Helly's selection theorem Hemicontinuity Holonomic Hyperbolic growth I Improper integral Indeterminate form Infinite product Integral transform Interchange of limiting operations Isoperimetric dimension J Jensen's inequality K Kantorovich inequality Khintchine inequality L Lebesgue point Limit of a sequence Limit superior and limit inferior List of convexity topics Local boundedness Logarithmic integral M Markov brothers' inequality Mathematical singularity Maxima and minima Moment (mathematics) Moment problem Monodromy Mountain pass theorem Multiple rule-based problems Multiplicity N Negligible set Neighbourhood (mathematics) Non-classical analysis Normal convergence

N cont. Nowhere continuous P P-adic analysis Pappus's centroid theorem Paraconsistent analysis Parker-Sochacki method Partition of an interval Poincaré inequality Polylogarithmic Pompeiu problem Power series Probability theory Properties of polynomial roots Q Quantum calculus Quasiconvex function R R-function Ramanujan summation Ramp function Rate of convergence Regularization (mathematics) Regulated function Riemann-Liouville differintegral S Semi-continuity Semi-differentiability Silverman–Toeplitz theorem Smooth infinitesimal analysis Solving quadratic equations with continued fractions Squeeze theorem Stationary phase approximation Stieltjes moment problem Stone-Weierstrass theorem Stress majorization Subadditive function Sublinear Subsequential limit Summa Superadditive Symmetry of second derivatives T Total variation U Unconditional convergence Uniform absolute continuity Uniform boundedness V Vertical tangent Volterra integral equation W Wave front set Weight function Weighted geometric mean Weighted harmonic mean Weighted mean Whitney extension theorem Whittaker and Watson Z Zeta function regularization

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Categories: Mathematics | Analysis

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