List of theorems
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This is a list of theorems, by Wikipedia page. See also
In some fields, theorem can be considered as a courtesy title, given to major results, although with a content that would not satisfy a mathematician. No attempt is made here to comment on that aspect of usage: this is a list of results known as theorems. Most of the results do come from mathematics, but there are others from theoretical physics, economics and so on.
Contents:  top  09 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 

A
 Abel's theorem (mathematical analysis)
 Abelian and tauberian theorems (mathematical analysis)
 AbelRuffini theorem (theory of equations, Galois theory)
 AnkenyArtinChowla theorem (number theory)
 Arrow's impossibility theorem (game theory)
 ArtinSchreier theorem (real closed fields)
 ArtinWedderburn theorem (abstract algebra)
 ArzelŕAscoli theorem (functional analysis)
 AtiyahSinger index theorem (elliptic differential operators, harmonic analysis)
B
 Baire category theorem (topology, metric spaces)
 BanachAlaoglu theorem (functional analysis)
 Banach fixed point theorem (metric spaces, differential equations)
 BanachSteinhaus theorem (functional analysis)
 Barbier's theorem (geometry)
 Bass's theorem (group theory)
 Bayes' theorem (probability)
 Beatty's theorem (diophantine approximation)
 Beck's monadicity theorem (category theory)
 Beck's theorem (incidence geometry)
 Bell's theorem (quantum theory  physics)
 BendixsonDulac theorem (dynamical systems)
 BerryEsséen theorem (probability theory)
 Bertrand's ballot theorem (probability theory, combinatorics)
 Bertrand's postulate (prime numbers)
 Bezout's theorem (algebraic curves)
 Binomial theorem (algebra, combinatorics)
 Birkhoff's theorem (ergodic theory)
 BohrMollerup theorem (gamma function)
 BolyaiGerwien theorem (geometry)
 BolzanoWeierstrass theorem (real analysis, calculus)
 Boolean prime ideal theorem (mathematical logic)
 BorelBottWeil theorem (representation theory)
 Bott periodicity theorem (homotopy theory)
 BorsukUlam theorem (topology)
 Brouwer fixed point theorem (topology)
 Brown's representability theorem (homotopy theory)
 BruckChowlaRyser theorem (combinatorics)
 Buckingham Pi theorem (dimensional analysis)
C
 CantorBernsteinSchroeder theorem (Set theory, cardinal numbers)
 Cantor's theorem (Set theory, Cantor's diagonal argument)
 Carathéodory's theorem (conformal mapping)
 Carathéodory's theorem (convex hull)
 Carathéodory's theorem (measure theory)
 Cartan's theorem (Lie group)
 Cartan's theorems A and B (several complex variables)
 Cauchy integral theorem (Complex analysis)
 CayleyHamilton theorem (Linear algebra)
 Cayley's theorem (group theory)
 Central limit theorem (probability)
 Ceva's theorem (geometry)
 Chebotarev's density theorem (number theory)
 ChernGaussBonnet theorem (differential geometry)
 Chinese remainder theorem (number theory)
 ChowlaMordell theorem (number theory)
 ChurchRosser theorem (lambda calculus)
 Closed graph theorem (functional analysis)
 Cluster decomposition theorem (quantum field theory)
 Coase theorem (economics)
 Cochran's theorem (statistics)
 Compactness theorem (mathematical logic)
 Convolution theorem (Fourier transforms)
 Cook's theorem (computational complexity theory)
 Cox's theorem (probability foundations)
 Cutelimination theorem (proof theory)
D
 Dandelin's theorem (geometry)
 De Branges' theorem (complex analysis)
 De Finetti's theorem (probability)
 De Rham's theorem (differential topology)
 Deduction theorem (logic)
 Desargues' theorem (geometry)
 Descartes' theorem (geometry)
 Dilworth's theorem (combinatorics, order theory)
 Dimension theorem for vector spaces (vector spaces, linear algebra)
 Dirichlet's theorem on arithmetic progressions (number theory)
 Dirichlet's unit theorem (algebraic number theory)
 Divergence theorem (vector calculus)
 Dominated convergence theorem (Lebesgue integration)
E
 Earnshaw's theorem (electrostatics)
 Ehresmann's theorem (differential topology)
 Equipartition theorem (ergodic theory)
 ErdősKoRado theorem (combinatorics)
 Euler's rotation theorem (geometry)
 Euler's theorem (number theory)
 Euler's theorem on homogeneous functions (multivariate calculus)
 Extreme value theorem
F
 Faltings' theorem (diophantine geometry)
 FeitThompson theorem (finite groups)
 Fermat's last theorem (number theory)
 Fermat's little theorem (number theory)
 Fisher separation theorem (economics)
 Fixed point theorems in infinitedimensional spaces
 Fluctuation dissipation theorem (physics)
 Fluctuation theorem
 Four color theorem (graph theory)
 Fourier inversion theorem (harmonic analysis)
 Frobenius reciprocity theorem (group representations)
 Frobenius theorem (foliations)
 Fubini's theorem (integration)
 Fuglede's theorem (functional analysis)
 Fundamental theorem of algebra (complex analysis)
 Fundamental theorem of arbitragefree pricing (financial mathematics)
 Fundamental theorem of arithmetic (number theory)
 Fundamental theorem of calculus (calculus)
 Fundamental theorem of poker (poker)
 Fundamental theorem on homomorphisms (abstract algebra)
G
 Gauss theorem (vector calculus)
 Gauss's Theorema Egregium (differential geometry)
 GaussBonnet theorem (differential geometry)
 GaussMarkov theorem (statistics)
 GaussWantzel theorem (geometry)
 GelfandNaimark theorem (functional analysis)
 GelfondSchneider theorem (transcendence theory)
 GibbardSatterthwaite theorem (voting methods)
 Girsanov's theorem (stochastic processes)
 GoddardThorn theorem (vertex algebras)
 Gödel's completeness theorem (mathematical logic)
 Gödel's incompleteness theorem (mathematical logic)
 Goingup and goingdown theorems (commutative algebra)
 Goodstein's theorem (mathematical logic)
 Green's theorem (vector calculus)
 Gromov's compactness theorem (Riemannian geometry)
 Gromov's theorem (group theory)
 GromovRuh theorem (differential geometry)
H
 Htheorem (thermodynamics)
 Haag's theorem (quantum field theory)
 Haboush's theorem (algebraic groups, representation theory, invariant theory)
 Hadwiger's theorem (geometry, measure theory)
 Hahn embedding theorem (ordered groups)
 Hairy ball theorem (algebraic topology)
 HahnBanach theorem (functional analysis)
 HalesJewett theorem (combinatorics)
 Ham sandwich theorem (topology)
 HeineBorel theorem (real analysis)
 HellingerToeplitz theorem (functional analysis)
 Helly's theorem (convex sets)
 HerbrandRibet theorem (cyclotomic fields)
 Hilbert's basis theorem (commutative algebra,invariant theory)
 Hilbert's Nullstellensatz (theorem of zeroes) (commutative algebra, algebraic geometry)
 HilbertSpeiser theorem (cyclotomic fields)
 Hinge theorem (geometry)
 HopfRinow theorem (differential geometry)
 Hurewicz theorem (algebraic topology)
 Hurwitz's automorphisms theorem (algebraic curves)
I
 Intermediate value theorem (calculus)
 Implicit function theorem (vector calculus)
 Infinite monkey theorem (probability)
 Inverse function theorem (vector calculus)
 Isomorphism theorem (abstract algebra)
 Isoperimetric theorem (curves, calculus of variations)
J
 Jacobson density theorem (ring theory)
 Jordan curve theorem (topology)
 JordanHölder theorem (group theory)
 JordanSchönflies theorem (geometric topology)
K
 Kirchhoff's theorem (graph theory)
 Kirszbraun theorem (Lipschitz continuity)
 Kleene's recursion theorem (recursion theory)
 KnasterTarski theorem (order theory)
 KolmogorovArnoldMoser theorem (dynamical systems)
 König's theorem (mathematical logic)
 Kronecker's theorem (diophantine approximation)
 KroneckerWeber theorem (number theory)
 Krull's principal ideal theorem (commutative algebra)
 Künneth theorem (algebraic topology)
L
 Lagrange's theorem (group theory)
 Lagrange's foursquare theorem (number theory)
 Lagrange inversion theorem (mathematical analysis, combinatorics)
 Lagrange reversion theorem (mathematical analysis, combinatorics)
 Lami's theorem (statics)
 Laurent expansion theorem (complex analysis)
 Lefschetz fixed point theorem (algebraic topology)
 LehmannScheffé theorem (statistics)
 LindemannWeierstrass theorem (transcendence theory)
 LieKolchin theorem (algebraic groups, representation theory)
 Linear congruence theorem (number theory, modular arithmetic)
 Linear speedup theorem (computational complexity theory)
 Linnik's theorem (number theory)
 Liouville's theorem (complex analysis) (entire functions)
 Liouville's theorem (Hamiltonian) (Hamiltonian mechanics)
 Löb's theorem (mathematical logic)
 LöwenheimSkolem theorem (mathematical logic)
 Lyapunov's central limit theorem (probability theory)
M
 Mahler's compactness theorem (geometry of numbers)
 Mahler's theorem (padic analysis)
 Marcinkiewicz theorem (functional analysis)
 Marriage theorem (combinatorics)
 Master theorem (recurrence relations, asymptotic analysis)
 Maschke's theorem (group representations)
 Matiyasevich's theorem (mathematical logic)
 Max flow min cut theorem (graph theory)
 Maximum power theorem (electrical circuits)
 Maxwell's theorem (probability theory)
 Mean value theorem (calculus)
 Menger's theorem (graph theory)
 Mercer's theorem (functional analysis)
 Mertens' theorems (number theory)
 Metrization theorems (topological spaces)
 Minmax theorem (functional analysis)
 Minimax theorem
 Minkowski's theorem (geometry of numbers)
 Mitchell's embedding theorem (category theory)
 MittagLeffler's theorem (complex analysis)
 MohrMascheroni theorem (geometry)
 Monotone convergence theorem (mathematical analysis)
 MordellWeil theorem (number theory)
 Morera's theorem (complex analysis)
 Morley's categoricity theorem (model theory)
 Morley's trisector theorem (geometry)
 Multinomial theorem (algebra, combinatorics)
 Myers theorem (differential geometry)
 MyhillNerode theorem (formal languages)
N
 NagellLutz theorem (elliptic curves)
 Nash embedding theorem (differential geometry)
 NielsenSchreier theorem (free groups)
 No cloning theorem (quantum computation)
 Noether's theorem (Lie groups, calculus of variations, differential invariants, physics)
 Noghost theorem (vertex algebras)
 Norton's theorem (electrical networks)
 NyquistShannon sampling theorem (information theory)
O
P
 PaleyWiener theorem (Fourier transforms)
 Pappus's centroid theorem (geometry)
 Parseval's theorem (Fourier analysis)
 Pascal's theorem (conics)
 Pentagonal number theorem (number theory)
 Perfect graph theorem (graph theory)
 PeterWeyl theorem (representation theory)
 Picard theorem (complex analysis)
 PicardLindelöf theorem (ordinary differential equations)
 Pick's theorem (geometry)
 PitmanKoopmanDarmois theorem (statistics)
 Plancherel theorem (Fourier analysis)
 PoincaréBirkhoffWitt theorem (universal enveloping algebras)
 Poincaré duality theorem (algebraic topology of manifolds)
 PonceletSteiner theorem (geometry)
 Post's theorem (mathematical logic)
 Prime number theorem (number theory)
 Primitive element theorem (field theory)
 Ptolemaios' theorem (geometry)
 Pythagorean theorem (geometry)
R
 Radon's theorem (convex sets)
 RadonNikodym theorem (measure theory)
 Ramsey's theorem (graph theory,combinatorics)
 Ranknullity theorem (linear algebra)
 RaoBlackwell theorem (statistics)
 Rational root theorem (algebra,polynomials)
 ReehSchlieder theorem (local quantum field theory)
 Residue theorem (complex analysis)
 Rice's theorem (recursion theory, computer science)
 Riemann mapping theorem (complex analysis)
 RiemannRoch theorem (Riemann surfaces, algebraic curves)
 Riesz representation theorem (functional analysis,Hilbert space)
 RieszThorin theorem (functional analysis)
 RobertsonSeymour theorem (graph theory)
 Rolle's theorem (calculus)
 Roth's theorem (diophantine approximation)
 Rouché's theorem (complex analysis)
S
 Sahlqvist correspondence theorem (modal logic)
 Sarkovskii's theorem (dynamical systems)
 Savitch's theorem (computational complexity theory)
 Schauder fixed point theorem (functional analysis)
 Schreier refinement theorem (group theory)
 Schur's lemma (representation theory)
 Schur's theorem (Ramsey theory)
 Seifertvan Kampen theorem (algebraic topology)
 Shannon's theorem (information theory)
 Simplicial approximation theorem (algebraic topology)
 SkolemNoether theorem (simple algebras)
 Soundness theorem (mathematical logic)
 Space hierarchy theorem (computational complexity theory)
 Spectral theorem (functional analysis)
 Speedup theorem (computational complexity theory)
 Sperner's theorem (combinatorics)
 Spinstatistics theorem (physics)
 SpragueGrundy theorem (combinatorial game theory)
 Squeeze theorem (mathematical analysis)
 Stanley's reciprocity theorem (combinatorics)
 StarkHeegner theorem (number theory)
 Stokes' theorem (vector calculus, differential topology)
 StolperSamuelson theorem (economics)
 Stone's representation theorem for Boolean algebras (mathematical logic)
 Stone's theorem on oneparameter unitary groups (functional analysis)
 StoneTukey theorem (topology)
 Stonevon Neumann theorem (functional analysis, representation theory of the Heisenberg group, quantum mechanics)
 StoneWeierstrass theorem (functional analysis)
 Sturm's theorem(theory of equations)
 Swan's theorem (module theory)
 Sylow theorem (group theory)
 Sylvester's theorem (number theory)
 SylvesterGallai theorem (plane geometry)
 Szemerédi's theorem (combinatorics)
 SzemerédiTrotter theorem (combinatorics)
T
 Takagi existence theorem (number theory)
 TaniyamaShimura theorem (number theory)
 Tarski's indefinability theorem (mathematical logic)
 Taylor's theorem (calculus)
 Thales' theorem (geometry)
 Thevenin's theorem (electrical circuits)
 ThueSiegelRoth theorem (diophantine approximation)
 Tietze extension theorem (general topology)
 Tikhonov fixed point theorem (functional analysis)
 Time hierarchy theorem (computational complexity theory)
 Tutte theorem (graph theory)
 Turán's theorem (graph theory)
 Tychonoff's theorem (general topology)
U
 Uniformization theorem (complex analysis, differential geometry)
 Universal coefficient theorem (algebraic topology)
V
 Van der Waerden's theorem (combinatorics)
 Virial theorem (classical mechanics)
 Vitali theorem (measure theory)
 VitaliHahnSaks theorem (measure theory)
 Von Neumann bicommutant theorem (functional analysis)
W
 WeierstrassCasorati theorem (complex analysis)
 Weierstrass preparation theorem (several complex variables,commutative algebra)
 Wellordering theorem (mathematical logic)
 Whitehead theorem (homotopy theory)
 Whitney embedding theorem (differential manifolds)
 WignerEckhart theorem (ClebschGordan coefficients)
 Wilson's theorem (number theory)
 Wolstenholme's theorem (number theory)
Z
 Zeckendorf's theorem
 Zermelo's theorem[1] (http://www.math.harvard.edu/~elkies/FS23j.03/zermelo.pdf) (game theory)de:Liste mathematischer Sätze