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.

Subcategories

There are 16 subcategories to this category.

Analytic number theory Asymptotic analysis C Calculus Calculus of variations Complex analysis

D Differential equations Differential operators E Ergodic theory F Fourier analysis Fractals Functional analysis

H Harmonic analysis I Inequalities Interpolation R Real analysis S Sequences and series

Articles in category "Mathematical analysis"

There are 115 articles in this category.

Mathematical analysis 3 3-sphere A Abel's theorem Abelian and tauberian theorems Absolute convergence Advection equation Almost periodic function An infinitely differentiable function that is not analytic Analytic function Asymptote Asymptotic expansion B Banach fixed point theorem Big O notation Bounded function Bounded set Bounded variation C Calculus of variations Cauchy principal value Cauchy sequence Characterizations of the exponential function Chisini mean Closed convex function Complex analysis Concavity Constructivist analysis Continued fraction Convex Convex combination Convex function D Darboux function Difference operator Dini test Dirac delta function Dirichlet kernel Dirichlet principle Divergent series E Equicontinuity Euler product

E cont. Euler-Maclaurin formula Extreme point F Finite difference Fixed point (mathematics) Fixed point space Fixed-point theorem Fractional calculus Function of a real variable Functional equation G Generalized Fourier series Generalized function Gradient conjecture Grunwald-Letnikov differintegral H Haar measure Half iterate Harmonic analysis Henstock-Kurzweil integral Hyperfunction I Improper integral Indeterminate form Infinite product Integral equation Integral transform Isoperimetric dimension J Jensen's inequality K Kantorovich inequality Kernel (integral operator) L Lebesgue point Limit of a sequence Limit superior and limit inferior Lipschitz continuity List of convexity topics Locally bounded function Logarithm Logarithmic integral M Mathematical singularity Maxima and minima Mimetic Modulus of continuity

M cont. Moment (mathematics) Moment problem Monodromy Monotone convergence theorem N Natural logarithm Neighbourhood (mathematics) Non-classical analysis Normed vector space P P-adic analysis Paley-Wiener theorem Pappus's centroid theorem Paraconsistent analysis Partition of an interval Picard-Lindelöf theorem Plateau's problem Power series Probability theory Proof techniques Proper convex function Q Quantum logic R Rate of convergence Regularization Riemann-Liouville differintegral S Sard's lemma Schwarzian derivative Semi-continuity Smooth function Squeeze theorem Stone-Weierstrass theorem Subadditive function Superadditive Symmetry of second derivatives T Taylor series U Uniform continuity W Weight function Weighted geometric mean Weighted harmonic mean Weighted mean