List of theorems
This is a
list of theorems, by Wikipedia page. See also\n*
list of mathematical theorems\n*
list of fundamental theorems\n*
list of lemmas\n*
list of conjectures\n*
list of mathematical proofs\nIn 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.
\n
A
\n*Abel-Ruffini theorem (polynomial equations, Galois theory)\n*
Arrow's impossibility theorem (Game theory)\n*
Artin-Wedderburn theorem (abstract algebra)\n*
Arzelŕ-Ascoli theorem (functional analysis)\n*
Atiyah-Singer index theorem (differential operators, harmonic analysis)
B
\n*Baire category theorem (
topology,
metric spaces)\n*
Banach-Alaoglu theorem (functional analysis)\n*
Banach fixed point theorem (metric spaces, differential equations)\n*
Banach-Steinhaus theorem (functional analysis)\n*
Barbier's theorem (geometry)\n*
Bass's theorem (group theory)\n*
Bayes' theorem (probability)\n*
Beatty's theorem (diophantine approximation)\n*
Bell's theorem (quantum theory - physics)\n*
Bendixson-Dulac theorem (dynamical systems)\n*
Bezout's theorem (algebraic curves)\n*
Binomial theorem (algebra, combinatorics)\n*
Bohr-Mollerup theorem (
gamma function)\n*
Bolyai-Gerwien theorem (geometry)\n*
Bolzano-Weierstrass theorem (real analysis, calculus)\n*
Boolean prime ideal theorem (mathematical logic)\n*
Borel-Bott-Weil theorem (
representation theory)\n*
Borsuk-Ulam theorem (topology)\n*
Brouwer fixed point theorem (topology)\n*
Bruck-Chowla-Ryser theorem (combinatorics)\n*
Buckingham Pi theorem (dimensional analysis)
C
\n*Cantor-Bernstein-Schroeder theorem (Set theory, cardinal numbers)\n*
Cantor's theorem (Set theory, Cantor's diagonal argument)\n*
Cartan's theorem (Lie group)\n*
Cartan's theorems A and B (
several complex variables)\n*
Cauchy integral theorem (Complex analysis)\n*
Cayley-Hamilton theorem (Linear algebra)\n*
Cayley's theorem (group theory)\n*
Central limit theorem (probability)\n*
Ceva's theorem (
geometry)\n*
Chebotarev's density theorem (
number theory)\n*
Chinese remainder theorem (
number theory)\n*
Chowla-Mordell theorem (
number theory)\n*
Church-Rosser theorem (
lambda calculus)\n*
Closed graph theorem (
functional analysis)\n*
Coase theorem (
economics)\n*
Cochran's theorem (
statistics)\n*
Compactness theorem (
mathematical logic)\n*
Convolution theorem (
Fourier transforms)\n*
Cook's theorem (computational complexity theory)\n*
Cox's theorem (
probability foundations)
D
\n*Dandelin's theorem (
geometry)\n*
De Finetti's theorem (
probability)\n*
Desargues' theorem (
geometry)\n*
Descartes' theorem (
geometry)\n*
Dilworth's theorem (
combinatorics,
order theory)\n*
Dimension theorem for vector spaces (vector spaces, linear algebra)\n*
Dirichlet's theorem on arithmetic progressions (
number theory)\n*
Dirichlet's unit theorem (
algebraic number theory)\n*
Divergence theorem (
vector calculus)\n*
Dominated convergence theorem (
Lebesgue integration)
E
\n*Earnshaw's theorem (electrostatics)\n*
Equipartition theorem (ergodic theory)\n*
Erdös-Ko-Rado theorem (combinatorics)\n*
Euler's theorem (number theory)\n*
Euler's theorem on homogeneous functions (multivariate calculus)
F
\n*Fermat's last theorem (number theory)\n*
Fermat's little theorem (number theory)\n*
Fixed point theorems in infinite-dimensional spaces\n*
Fluctuation dissipation theorem (physics)\n*
Four color theorem (graph theory)\n*
Fourier inversion theorem (harmonic analysis)\n*
Frobenius reciprocity theorem (group representations
)\n*
Frobenius theorem (foliations)\n*
Fubini's theorem (integration)\n*
Fuglede's theorem (
functional analysis)\n*
Fundamental theorem of algebra (complex analysis)\n*
Fundamental theorem of arbitrage-free pricing (
financial mathematics)\n*
Fundamental theorem of arithmetic (number theory)\n*
Fundamental theorem of calculus (calculus)\n*
Fundamental theorem of poker (poker)\n*
Fundamental theorem on homomorphisms (abstract algebra)
G
\n*Gauss theorem (
vector calculus)\n*
Gauss's Theorema Egregium (
differential geometry)\n*
Gauss-Bonnet theorem (
differential geometry)\n*
Gauss-Markov theorem (
statistics)\n*
Gelfand-Naimark theorem (
functional analysis)\n*
Gelfond-Schneider theorem (
transcendence theory)\n*
Gibbard-Satterthwaite theorem (
voting methods)\n*
Girsanov's theorem (
stochastic processes)\n*
Goddard-Thorn theorem (
vertex algebras)\n*
Gödel's completeness theorem (
mathematical logic)\n*
Gödel's incompleteness theorem (
mathematical logic)\n*
Goodstein's theorem (
mathematical logic)\n*
Green's theorem (vector calculus)\n*
Gromov's compactness theorem (
Riemannian geometry)\n*
Gromov's theorem (group theory)
H
\n*H-theorem (
thermodynamics)\n*
Hadwiger's theorem (
geometry,
measure theory)\n*
Hairy ball theorem (
algebraic topology)\n*
Hahn-Banach theorem (
functional analysis)\n*
Hales-Jewett theorem (
combinatorics)\n*
Ham sandwich theorem (
topology)\n*
Heine-Borel theorem (
real analysis)\n*
Hellinger-Toeplitz theorem (
functional analysis)\n*
Hilbert's basis theorem (
commutative algebra,
invariant theory)\n*
Hilbert's Nullstellensatz (theorem of zeroes) (
commutative algebra,
algebraic geometry)\n*
Hopf-Rinow theorem (
differential geometry)\n*
Hurewicz theorem (
algebraic topology)
I
\n*Intermediate value theorem (calculus)\n*
Implicit function theorem (vector calculus)\n*
Infinite monkey theorem (
probability)\n*
Inverse function theorem (vector calculus)\n*
Isomorphism theorem (
abstract algebra)\n*
Isoperimetric theorem (
curves,
calculus of variations)
J
\n*Jordan curve theorem (topology)\n*
Jordan-Schönflies theorem (
geometric topology)
K
\n*Kirszbraun theorem (Lipschitz continuity)\n*
Knaster-Tarski theorem (order theory)\n*
Kolmogorov-Arnold-Moser theorem (dynamical systems)\n*
König's theorem (mathematical logic)\n*
Kronecker's theorem (diophantine approximation)\n*
Krull's principal ideal theorem (commutative algebra)
L
\n*Lagrange's theorem (
group theory)\n*
Lagrange inversion theorem (
mathematical analysis,
combinatorics)\n*
Lefschetz fixed point theorem (
algebraic topology)\n*Lehmann-Scheffé theorem (statistics)\n*Lindemann-Weierstrass theorem (transcendence thoery
)\n*Linear congruence theorem (number theory, modular arithmetic)\n*Linear speedup theorem (
computational complexity theory)
\n*Linnik's theorem (number theory)\n*Liouville's theorem (complex analysis) (entire functions
)\n*Liouville's theorem (Hamiltonian) (Hamiltonian mechanics)\n*Löb's theorem (mathematical logic)\n*Löwenheim-Skolem theorem (mathematical logic'')
M
\n*Mahler's compactness theorem (
geometry of numbers)\n*
Marriage theorem (
combinatorics)\n*
Master theorem (
recurrence relations,
asymptotic analysis)\n*
Maschke's theorem (
group representations)\n*
Matiyasevich's theorem (
mathematical logic)\n*
Max flow min cut theorem (
graph theory)\n*
Maximum power theorem (
electrical circuits)\n*
Maxwell's theorem (
probability theory)\n*
Mean value theorem (
calculus)\n*
Mercer's theorem (
functional analysis)\n*
Metrization theorems (
topological spaces)\n*
Min-max theorem (
functional analysis)\n*
Minkowski's theorem (
geometry of numbers)\n*
Mitchell's embedding theorem (
category theory)\n*
Monotone convergence theorem (
mathematical analysis)\n*
Mordell-Weil theorem (
number theory)\n*
Morera's theorem (
complex analysis)\n*
Multinomial theorem (
algebra,
combinatorics)\n*
Myhill-Nerode theorem (
formal languages)
N
\n*Nagell-Lutz theorem (
elliptic curves)\n*
Nash embedding theorem (
differential geometry)\n*
Nielsen-Schreier theorem (
free groups)\n*
No cloning theorem (
quantum computation)\n*
Noether's theorem (
Lie groups,
calculus of variations,
differential invariants,
physics)\n*
No-ghost theorem (
vertex algebras)\n*
Norton's theorem (
electrical networks)\n*
Nyquist-Shannon sampling theorem (
information theory)
O
\n*Open mapping theorem (
functional analysis)
P
\n*Paley-Wiener theorem (
Fourier transforms)\n*
Pappus's centroid theorem (
geometry)\n*
Parseval's theorem (
Fourier analysis)\n*
Pascal's theorem (
conics)\n*
Perfect graph theorem (
graph theory)\n*
Peter-Weyl theorem (
representation theory)\n*
Picard theorem (
complex analysis)\n*
Picard-Lindelöf theorem (
ordinary differential equations)\n*
Pick's theorem (
geometry)\n*
Poincaré-Birkhoff-Witt theorem (
universal enveloping algebras)\n*
Poincaré duality theorem (algebraic topology of manifolds)\n*
Poncelet-Steiner theorem (
geometry)\n*Prime number theorem (number theory)\n*Pythagorean theorem (geometry'')
R
\n*Radon-Nikodym theorem (
measure theory)\n*
Ramsey's theorem (
graph theory,combinatorics)\n*
Rank-nullity theorem (linear algebra)\n*
Rao-Blackwell theorem (
statistics)\n*
Rational root theorem (
algebra,polynomials)\n*
Reeh-Schlieder theorem (
local quantum field theory)\n*
Residue theorem (
complex analysis)\n*
Rice's theorem (
recursion theory, computer science)\n*Riemann mapping theorem (complex analysis)\n*Riemann-Roch theorem (Riemann surfaces
, algebraic curves
)\n*Riesz representation theorem (functional analysis,
Hilbert space)\n*Robertson-Seymour theorem (graph theory)\n*Rolle's theorem (calculus)\n*Roth's theorem (diophantine approximation'')
S
\n*Sarkovskii's theorem (dynamical systems)\n*
Savitch's theorem (computational complexity theory)\n*
Schauder fixed point theorem (functional analysis)\n*
Seifert-van Kampen theorem (algebraic topology)\n*
Shannon's theorem (information theory)\n*
Simplicial approximation theorem (algebraic topology)\n*
Skolem-Noether theorem (
simple algebras)\n*
Soundness theorem (
mathematical logic)\n*
Space hierarchy theorem (computational complexity theory)\n*
Spectral theorem (functional analysis)\n*
Speedup theorem (computational complexity theory)\n*
Spin-statistics theorem (physics)\n*
Sprague-Grundy theorem (combinatorial game theory)\n*Squeeze theorem
(mathematical analysis)\n*
Stokes' theorem (vector calculus, differential topology)\n*
Stone's representation theorem for Boolean algebras (mathematical logic)\n*
Stone-Tukey theorem (
topology)\n*
Stone-von Neumann theorem (
functional analysis,
representation theory of the
Heisenberg group,
quantum mechanics)\n*
Stone-Weierstrass theorem (functional analysis)\n*
Swan's theorem (module theory)\n*
Sylow theorem (group theory)\n*
Szemerédi's theorem (combinatorics)
T
\n*Tarski's indefinability theorem (mathematical logic)\n*
Taylor's theorem (calculus)\n*
Thales' theorem (geometry)\n*
Thevenin's theorem (
electrical circuits)\n*
Thue-Siegel-Roth theorem (
diophantine approximation)\n*
Tietze extension theorem (general topology)\n*
Tikhonov fixed point theorem (functional analysis)\n*
Time hierarchy theorem (computational complexity theory)\n*
Turán's theorem (graph theory)\n*
Tychonoff's theorem (general topology)
U
\n*Uniformization theorem (
complex analysis,
differential geometry)
V
\n*Virial theorem (
classical mechanics)\n*
Vitali theorem (
measure theory)\n*
Von Neumann bicommutant theorem (
functional analysis)
W
\n*Weierstrass-Casorati theorem (
complex analysis)\n*
Weierstrass preparation theorem (
several complex variables,
commutative algebra) \n*
Well-ordering theorem (
mathematical logic)\n*
Wilson's theorem (
number theory)
Category:Theorems\nCategory:Topic lists
