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List of mathematical functions; List of mathematical identities; List of mathematical proofs; List of misnamed theorems; List of scientific laws; List of theories; Most of the results below come from pure mathematics, but some are from theoretical physics, economics, and other applied fields.
In mathematics, a fundamental theorem is a theorem which is considered to be central and conceptually important for some topic. For example, the fundamental theorem of calculus gives the relationship between differential calculus and integral calculus . [ 1 ]
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 ...
Erdős–Beck theorem: Mathematics: Paul Erdős and József Beck: Erdős–Gallai theorem: Mathematics: Paul Erdős and Tibor Gallai: Erdős–Kac theorem: Mathematics: Paul Erdős and Mark Kac: Erdős–Ko–Rado theorem: Mathematics: Paul Erdős, Ke Zhao, and Richard Rado: Erdős–Nagy theorem: Mathematics: Paul Erdős and Béla Szőkefalvi ...
Theorems in mathematical physics (3 C, 11 P) N. Theorems in number theory (5 C, 107 P) P. Probability theorems (3 C, 110 P) Theorems in propositional logic (39 P) T.
This category includes theorems on the foundational aspects of mathematics, including: mathematical logic, model theory, set theory, some general topology and category theory. Subcategories This category has only the following subcategory.
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 .
Please also observe that a theorem is distinct from a theory. ... Mathematical theorems (18 C, 44 P) Metatheorems (1 C, 16 P) P. Physics theorems (7 C, 31 P)