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List of Theorems
*** Shopping-Tip: List of Theorems
This is a '''list of Theorem theorems''', by page. See also
* list of fundamental theorems
* list of lemmas
* list of conjectures
* list of inequalities
* list of mathematical proofs
Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied mathematics applied fields.
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A
* Abel's theorem ('' mathematical analysis'')
* Abelian and tauberian theorems ('' mathematical analysis'')
* Abel-Ruffini theorem ('' theory of equations'', '' Galois theory'')
* Abouabdillah's theorem ('' geometry'','' number theory'')
* Ankeny-Artin-Chowla theorem ('' number theory'')
* Arrow's impossibility theorem ('' game theory'')
* Artin-Schreier theorem ('' real closed fields'')
* Artin-Wedderburn theorem ('' abstract algebra'')
* Arzelà-Ascoli theorem ('' functional analysis'')
* Atiyah-Singer index theorem ('' elliptic differential operators'', '' harmonic analysis'')
B
* Baire category theorem ('' topology'', '' metric spaces'')
* Banach-Alaoglu theorem ('' functional analysis'')
* Banach fixed point theorem ('' metric spaces, differential equations'')
* Banach-Steinhaus 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 (geometry) Beck's theorem ('' incidence geometry'')
* Bell's theorem ('' quantum theory - physics'')
* Bendixson-Dulac theorem ('' dynamical systems'')
* Berry-Esséen theorem ('' probability theory'')
* Bertrand's ballot theorem ('' probability theory'', '' combinatorics'')
* Bertrand's postulate ('' prime numbers'')
* Bézout's theorem ('' algebraic curves'')
* Binomial theorem ('' algebra, combinatorics'')
* Birkhoff's theorem ('' ergodic theory'')
* Bohr-Mollerup theorem ('' gamma function'')
* Bolyai-Gerwien theorem ('' geometry'')
* Bolzano's theorem ('' real analysis, calculus'')
* Bolzano-Weierstrass theorem ('' real analysis, calculus'')
* Bombieri's theorem ('' number theory'')
* Boolean prime ideal theorem ('' mathematical logic'')
* Borel-Bott-Weil theorem ('' representation theory'')
* Bott periodicity theorem ('' homotopy theory'')
* Borsuk-Ulam theorem ('' topology'')
* Brouwer fixed point theorem ('' topology'')
* Brown's representability theorem ('' homotopy theory'')
* Bruck-Chowla-Ryser theorem ('' combinatorics'')
* Buckingham π theorem ('' dimensional analysis'')
C
* Cantor–Bernstein–Schroeder theorem ('' Set theory'', '' cardinal numbers'')
* Cantor's theorem ('' Set theory'', '' Cantor's diagonal argument'')
* Carathéodory-Jacobi-Lie theorem ('' symplectic topology'')
* Carathéodory's theorem (conformal mapping) Carathéodory's theorem (''conformal mapping'')
* Carathéodory's theorem (convex hull) Carathéodory's theorem (''convex hull'')
* Carathéodory's theorem (measure theory) Carathéodory's theorem (''measure theory'')
* Cartan's theorem ('' Lie group'')
* Cartan's theorems A and B ('' several complex variables'')
* Cauchy integral theorem ('' Complex analysis'')
* Cayley-Hamilton theorem ('' Linear algebra'')
* Cayley's theorem ('' group theory'')
* Central limit theorem ('' probability'')
* Ceva's theorem ('' geometry'')
* Chebotarev's density theorem ('' number theory'')
* Chen's theorem ('' number theory'')
* Chern-Gauss-Bonnet theorem ('' differential geometry'')
* Chinese remainder theorem ('' number theory'')
* Chowla-Mordell theorem ('' number theory'')
* Church-Rosser theorem ('' lambda calculus'')
* Classification of finite simple groups ('' group theory'')
* Closed graph theorem ('' functional analysis'')
* Cluster decomposition theorem ('' quantum field theory'')
* Coase theorem ('' economics'')
* Cochran's theorem ('' statistics'')
* Compactness theorem ('' mathematical logic'')
* Conservativity theorem ('' mathematical logic'')
* Convolution theorem ('' Fourier transforms'')
* Cook's theorem ('' computational complexity theory'')
* Cox's theorem ('' probability foundations'')
* Crystallographic restriction theorem ('' group theory'', '' crystallography'')
* Cut-elimination theorem ('' proof theory'')
D
* Dandelin's theorem ('' geometry'')
* Darboux's theorem (analysis) Darboux's theorem ('' real analysis'')
* Darboux's theorem ('' symplectic topology'')
* 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'')
* Erdős-Ko-Rado 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'')
* Feit-Thompson theorem ('' finite groups'')
* Fermat's last theorem ('' number theory'')
* Fermat's little theorem ('' number theory'')
* Fisher separation theorem ('' economics'')
* Five color theorem ('' graph theory'')
* Fixed point theorems in infinite-dimensional 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 arbitrage-free pricing ('' financial mathematics'')
* Fundamental theorem of arithmetic ('' number theory'')
* Fundamental theorem of calculus ('' calculus'')
* Fundamental theorem on homomorphisms ('' abstract algebra'')
G
* Gauss theorem ('' vector calculus'')
* Theorema Egregium Gauss's Theorema Egregium ('' differential geometry'')
* Gauss-Bonnet theorem ('' differential geometry'')
* Gauss-Markov theorem ('' statistics'')
* Gauss-Wantzel theorem ('' geometry'')
* Gelfand–Naimark theorem ('' functional analysis'')
* Gelfond-Schneider theorem ('' transcendence theory'')
* Gibbard-Satterthwaite theorem ('' voting methods'')
* Girsanov's theorem ('' stochastic processes'')
* Goddard-Thorn theorem ('' vertex algebras'')
* Gödel's completeness theorem ('' mathematical logic'')
* Gödel's incompleteness theorem ('' mathematical logic'')
* Going up and going down Going-up and going-down theorems ('' commutative algebra'')
* Goodstein's theorem ('' mathematical logic'')
* Green's theorem ('' vector calculus'')
* Gromov's compactness theorem ('' Riemannian geometry'')
* Gromov's theorem ('' group theory'')
* Gromov-Ruh theorem ('' differential geometry'')
H
* H-theorem ('' 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'')
* Hahn-Banach theorem ('' functional analysis'')
* Hales-Jewett theorem ('' combinatorics'')
* Ham sandwich theorem ('' topology'')
* Hasse–Minkowski theorem
* Heine-Borel theorem ('' real analysis'')
* Hellinger-Toeplitz theorem ('' functional analysis'')
* Helly's theorem ('' convex sets'')
* Herbrand-Ribet theorem ('' cyclotomic fields'')
* Hilbert's basis theorem ('' commutative algebra'','' invariant theory'')
* Hilbert's Nullstellensatz (theorem of zeroes) ('' commutative algebra'', '' algebraic geometry'')
* Hilbert-Speiser theorem ('' cyclotomic fields'')
* Hinge theorem ('' geometry'')
* Hopf-Rinow 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'')
* Jordan-Hölder theorem ('' group theory'')
* Jordan-Schönflies theorem ('' geometric topology'')
K
* Kirchhoff's theorem ('' graph theory'')
* Kirszbraun theorem ('' Lipschitz continuity'')
* Kleene's recursion theorem ('' recursion theory'')
* Knaster-Tarski theorem ('' order theory'')
* Kolmogorov-Arnold-Moser theorem ('' dynamical systems'')
* Kolmogorov extension theorem
* König's theorem ('' mathematical logic'')
* Kronecker's theorem ('' diophantine approximation'')
* Kronecker-Weber theorem ('' number theory'')
* Krull's principal ideal theorem ('' commutative algebra'')
* Künneth theorem ('' algebraic topology'')
L
* Ladner's theorem ('' computational complexity theory'')
* Lagrange's theorem ('' group theory'')
* Lagrange's four-square 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'')
* Lehmann-Scheffé theorem ('' statistics'')
* Lindemann-Weierstrass theorem ('' transcendence theory'')
* Lie-Kolchin 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'')
* Löwenheim-Skolem theorem ('' mathematical logic'')
* Lyapunov's central limit theorem ('' probability theory'')
M
* Mahler's compactness theorem ('' geometry of numbers'')
* Mahler's theorem ('' p-adic 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'')
* Min-max theorem ('' functional analysis'')
* Minimax theorem
* Minkowski's theorem ('' geometry of numbers'')
* Mitchell's embedding theorem ('' category theory'')
* Mittag-Leffler's theorem ('' complex analysis'')
* Modigliani-Miller theorem ('' finance theory'')
* Mohr-Mascheroni theorem ('' geometry'')
* Monotone convergence theorem ('' mathematical analysis'')
* Mordell-Weil 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'')
* Myhill-Nerode theorem ('' formal languages'')
N
* Nagell-Lutz theorem ('' elliptic curves'')
* Nash embedding theorem ('' differential geometry'')
* Nielsen-Schreier theorem ('' free groups'')
* No cloning theorem ('' quantum computation'')
* Noether's theorem ('' Lie groups'', '' calculus of variations'', '' differential invariants'', '' physics'')
* No-ghost theorem ('' vertex algebras'')
* Norton's theorem ('' electrical networks'')
* Nyquist-Shannon sampling theorem ('' information theory'')
O
* Open mapping theorem ('' functional analysis'')
* Ostrowski's theorem
P
* Paley-Wiener 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'')
* Peter-Weyl theorem ('' representation theory'')
* Picard theorem ('' complex analysis'')
* Picard-Lindelöf theorem ('' ordinary differential equations'')
* Pick's theorem ('' geometry'')
* Pitman-Koopman-Darmois theorem ('' statistics'')
* Plancherel theorem ('' Fourier analysis'')
* Poincaré-Bendixson theorem ('' dynamical systems'')
* Poincaré-Birkhoff-Witt theorem ('' universal enveloping algebras'')
* Poincaré duality Poincaré duality theorem ('' algebraic topology of manifolds'')
* Poncelet-Steiner theorem ('' geometry'')
* Post's theorem ('' mathematical logic'')
* Prime number theorem ('' number theory'')
* Primitive element theorem ('' field theory (mathematics) field theory'')
* Ptolemaios' theorem ('' geometry'')
* Pythagorean theorem ('' geometry'')
R
* Radon's theorem ('' convex sets'')
* Radon-Nikodym theorem ('' measure theory'')
* Ramsey's theorem ('' graph theory, combinatorics'')
* Rank-nullity theorem ('' linear algebra'')
* Rao-Blackwell theorem ('' statistics'')
* Rational root theorem ('' algebra, polynomials'')
* Reeh-Schlieder theorem ('' local quantum field theory'')
* Residue theorem ('' complex analysis'')
* Rice's theorem ('' recursion theory, computer science'')
* Riemann mapping theorem ('' complex analysis'')
* Riemann-Roch theorem ('' Riemann surfaces'', '' algebraic curves'')
* Riesz representation theorem ('' functional analysis, Hilbert space'')
* Riesz-Thorin theorem ('' functional analysis'')
* Robertson-Seymour 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'')
* Seifert-van Kampen theorem ('' algebraic topology'')
* Shannon's theorem ('' information theory'')
* Simplicial approximation theorem ('' algebraic topology'')
* Skolem-Noether 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'')
* Spin-statistics theorem ('' physics'')
* Sprague-Grundy theorem ('' combinatorial game theory'')
* Squeeze theorem ('' mathematical analysis'')
* Stanley's reciprocity theorem ('' combinatorics'')
* Stark-Heegner theorem ('' number theory'')
* Stokes' theorem ('' vector calculus, differential topology'')
* Stolper-Samuelson theorem ('' economics'')
* Stone's representation theorem for Boolean algebras ('' mathematical logic'')
* Stone's theorem on one-parameter unitary groups ('' functional analysis'')
* Stone-Tukey theorem ('' topology'')
* Stone-von Neumann theorem ('' functional analysis'', '' representation theory'' of the '' Heisenberg group'', '' quantum mechanics'')
* Stone-Weierstrass theorem ('' functional analysis'')
* Sturm's theorem ('' theory of equations'')
* Swan's theorem ('' module theory'')
* Sylow theorem ('' group theory'')
* Sylvester's theorem ('' number theory'')
* Sylvester-Gallai theorem ('' plane geometry'')
* Szemerédi's theorem ('' combinatorics'')
* Szemerédi-Trotter theorem ('' combinatorics'')
T
* Takagi existence theorem ('' number theory'')
* Taniyama-Shimura theorem ('' number theory'')
* Tarski's indefinability theorem ('' mathematical logic'')
* Taylor's theorem ('' calculus'')
* Thales' theorem ('' geometry'')
* Thevenin's theorem ('' electrical circuits'')
* Thue's theorem
* Thue-Siegel-Roth 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'')
* Vinogradov's theorem ('' number theory'')
* Virial theorem ('' classical mechanics'')
* Vitali set Vitali theorem ('' measure theory'')
* Vitali-Hahn-Saks theorem ('' measure theory'')
* Von Neumann bicommutant theorem ('' functional analysis'')
W
* Weierstrass-Casorati theorem ('' complex analysis'')
* Weierstrass preparation theorem ('' several complex variables'','' commutative algebra'')
* Well-ordering theorem ('' mathematical logic'')
* Whitehead theorem ('' homotopy theory'')
* Whitney embedding theorem ('' differential manifolds'')
* Wigner-Eckhart theorem ('' Clebsch-Gordan coefficients'')
* Wilson's theorem ('' number theory'')
* Wolstenholme's theorem ('' number theory'')
Z
* Zeckendorf's theorem
* Zermelo's theorem[http://www.math.harvard.edu/~elkies/FS23j.03/zermelo.pdf] ('' game theory'')
Category:Mathematical lists Theorems
Category:Theorems
de:Liste mathematischer Sätze
fr:Liste des théorèmes
see List of theorems
*** Shopping-Tip: List of Theorems
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