Mathematics Atlas

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All Theorems

Proved mathematical results, statements with an accepted proof within the mathematical community. Belongs here: theorems, grouped below by the branch of mathematics the result belongs to. Does not belong here: unproved claims, filed as conjectures, even ones widely believed true.

All Theorems
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Analysis

15 and 290 Theorems

Number Theory

2-Factor Theorem

Combinatorics and Graph Theory

Abel-Ruffini Theorem

Algebra

Abel's Binomial Theorem

Combinatorics and Graph Theory

Abel's Identity

Analysis

Abel's Lemniscate Division Theorem

Analysis

Abel's Test

Analysis

Abel's Theorem (Power Series)

Analysis

Adiabatic Theorem

Mathematical Physics

Ado's Theorem

Algebra

Albert-Brauer-Hasse-Noether Theorem

Number Theory

Alexander Duality

Topology

Alexander-Hirschowitz Theorem

Algebra

Alexander's Theorem, Braid Closure

Topology

Alexandrov's Theorem on Polyhedra

Geometry

AM-GM Inequality

Analysis

Amitsur-Levitzki Theorem

Algebra

Anderson's Theorem

Analysis

Angle Bisector Theorem

Geometry

Angle Trisection

Geometry

Ankeny-Artin-Chowla Congruence

Number Theory

Anne's Theorem

Geometry

Antidynamo Theorem

Mathematical Physics

Apery's Theorem

Number Theory

Apollonius's Theorem

Geometry

Approximate Max-Flow Min-Cut Theorem

Combinatorics and Graph Theory

Area Theorem (Conformal Mapping)

Analysis

Argument Principle

Analysis

Arithmetic-Geometric Mean

Analysis

Arrow's Impossibility Theorem

Game Theory

Art Gallery Problem

Geometry

Artin Reciprocity Law

Number Theory

Artin-Rees Lemma

Algebra

Artin-Schreier Theorem

Algebra

Artin-Verdier Duality

Number Theory

Artin-Wedderburn Theorem

Algebra

Arzela-Ascoli Theorem

Analysis

Atiyah-Singer Index Theorem

Topology

Aumann's Agreement Theorem

Game Theory

Ax-Grothendieck Theorem

Algebra

Ax-Kochen Theorem

Logic and Foundations

Aztec Diamond Theorem

Combinatorics and Graph Theory

Azuma's Inequality

Probability and Statistics

Baire Category Theorem

Analysis

Baker-Gill-Solovay Theorem

Logic and Foundations

Baker's Theorem

Number Theory

Balinski's Theorem

Combinatorics and Graph Theory

Banach Fixed-Point Theorem

Analysis

Banach-Alaoglu Theorem

Analysis

Banach-Steinhaus Theorem

Analysis

Banach-Tarski Paradox

Logic and Foundations

Baranyai's Theorem

Combinatorics and Graph Theory

Barban-Davenport-Halberstam Theorem

Number Theory

Barbier's Theorem

Geometry

Barwise Compactness Theorem

Logic and Foundations

Basel Problem

Analysis

Basu's Theorem

Probability and Statistics

Bauer Maximum Principle

Analysis

Bauer-Fike Theorem

Analysis

Bayes' Theorem

Probability and Statistics

Beckman-Quarles Theorem

Geometry

Beck's Theorem (Geometry)

Geometry

Behrend's Theorem

Number Theory

Bell's Theorem

Mathematical Physics

Berge's Theorem

Combinatorics and Graph Theory

Bernstein Polynomial

Analysis

Bernstein's Theorem on Monotone Functions

Analysis

Berry-Esseen Theorem

Probability and Statistics

Bertrand's Ballot Theorem

Combinatorics and Graph Theory

Bertrand's Postulate

Number Theory

Bertrand's Theorem (Classical Mechanics)

Mathematical Physics

Bessel's Correction

Probability and Statistics

BEST Theorem

Combinatorics and Graph Theory

Beth Definability Theorem

Logic and Foundations

Betti's Theorem

Mathematical Physics

Bezout's Identity

Number Theory

Bezout's Theorem

Geometry

Bhaskara's Lemma

Number Theory

Binet-Cauchy Identity

Algebra

Binomial Theorem

Algebra

Birch's Theorem

Number Theory

Birkhoff Ergodic Theorem

Probability and Statistics

Birkhoff's Theorem (Electromagnetism)

Mathematical Physics

Birkhoff's Theorem (General Relativity)

Mathematical Physics

Birkhoff-von Neumann Theorem

Combinatorics and Graph Theory

Bishop-Cannings Theorem

Game Theory

Blackwell's Approachability Theorem

Game Theory

Blackwell's Informativeness Theorem

Game Theory

Blaschke-Santalo Inequality

Geometry

Bloch's Theorem (Complex Analysis)

Analysis

Bloch's Theorem (Solid-State Physics)

Mathematical Physics

Blum's Speedup Theorem

Logic and Foundations

Bochner's Theorem

Analysis

Bohr-Mollerup Theorem

Analysis

Bohr-van Leeuwen Theorem

Mathematical Physics

Bolzano-Weierstrass Theorem

Analysis

Bombieri-Vinogradov Theorem

Number Theory

Bondareva-Shapley Theorem

Game Theory

Bondy-Chvatal Theorem

Combinatorics and Graph Theory
Connections

Showing the first 400 of 908 connections.

Sources
MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statistics
  • Contains: Central Limit Theorem
  • Contains: Bayes' Theorem
View the Source
Wikipedia: Noether's Theorem
Wikimedia FoundationContains: Noether's TheoremView the Source
Wikipedia: Cayley's Theorem
Wikimedia FoundationContains: Cayley's TheoremView the Source
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