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This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures; List of data structures; List of derivatives and integrals in alternative calculi; List of equations; List of fundamental theorems; List of hypotheses; List of inequalities; Lists of ...
0–9. 2π theorem; A. Almgren regularity theorem; Anderson's theorem; B. Bang's theorem on tetrahedra; ... Campbell's theorem (geometry) Castelnuovo–de Franchis ...
Cartan's theorems A and B; Cayley–Bacharach theorem; Chasles–Cayley–Brill formula; Chasles' theorem (geometry) Chevalley–Iwahori–Nagata theorem; Chevalley's structure theorem; Chow's lemma; Chow's moving lemma; Clifford's theorem on special divisors
The following list is meant to serve as a repository for compiling a list of such ideas. The idea of the Pythagoreans that all numbers can be expressed as a ratio of two whole numbers . This was disproved by one of Pythagoras ' own disciples, Hippasus , who showed that the square root of two is what we today call an irrational number .
Euler's theorem; Five color theorem; Five lemma; Fundamental theorem of arithmetic; Gauss–Markov theorem (brief pointer to proof) Gödel's incompleteness theorem. Gödel's first incompleteness theorem; Gödel's second incompleteness theorem; Goodstein's theorem; Green's theorem (to do) Green's theorem when D is a simple region; Heine–Borel ...
Problems and Theorems in Analysis (German: Aufgaben und Lehrsätze aus der Analysis) is a two-volume problem book in analysis by George Pólya and Gábor Szegő. Published in 1925, the two volumes are titled (I) Series. Integral Calculus. Theory of Functions.; and (II) Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry.
This following is a list of lemmas (or, "lemmata", i.e. minor theorems, or sometimes intermediate technical results factored out of proofs). See also list of axioms , list of theorems and list of conjectures .
Yuri Manin (1937–2023) – algebraic geometry and diophantine geometry; Vladimir Arnold (1937–2010) – algebraic geometry; Ernest Vinberg (1937–2020) J. H. Conway (1937–2020) – sphere packing, recreational geometry; Robin Hartshorne (1938–) – geometry, algebraic geometry; Phillip Griffiths (1938–) – algebraic geometry ...