Ad
related to: 10 fundamental theorems of mathematics quizkutasoftware.com has been visited by 10K+ users in the past month
Search results
Results from the WOW.Com Content Network
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 ]
Folk theorem (game theory) Fundamental theorem of arbitrage-free pricing (financial mathematics) Fundamental theorems of welfare economics ; Gibbard–Satterthwaite theorem (voting methods) Heckscher–Ohlin theorem ; Holmström's theorem ; Kuhn's theorem (game theory) Lerner symmetry theorem ; May's theorem (game theory)
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 ...
These problems were also studied by mathematicians, and this led to establish mathematical logic as a new area of mathematics, consisting of providing mathematical definitions to logics (sets of inference rules), mathematical and logical theories, theorems, and proofs, and of using mathematical methods to prove theorems about these concepts.
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 fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating its slopes, or rate of change at each point in time) with the concept of integrating a function (calculating the area under its graph, or the cumulative effect of small contributions). Roughly speaking, the two operations can be ...
In mathematics, the fundamental theorem of arithmetic, also called the unique factorization theorem and prime factorization theorem, states that every integer greater than 1 can be represented uniquely as a product of prime numbers, up to the order of the factors. [3] [4] [5] For example,
The Pythagorean theorem has at least 370 known proofs. [1]In mathematics and formal logic, a theorem is a statement that has been proven, or can be proven. [a] [2] [3] The proof of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems.
Ad
related to: 10 fundamental theorems of mathematics quizkutasoftware.com has been visited by 10K+ users in the past month