- published: 26 Feb 2013
- views: 221695
In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms. The derivation of a theorem is often interpreted as a proof of the truth of the resulting expression, but different deductive systems can yield other interpretations, depending on the meanings of the derivation rules. The proof of a mathematical theorem is a logical argument demonstrating that the conclusions are a necessary consequence of the hypotheses, in the sense that if the hypotheses are true then the conclusions must also be true, without any further assumptions. The concept of a theorem is therefore fundamentally deductive, in contrast to the notion of a scientific theory, which is empirical.
Algebra - Pythagorean Theorem
Fermat's Last Theorem - Numberphile
The Pythagorean theorem intro | Right triangles and trigonometry | Geometry | Khan Academy
Theorem - Ring
Circle Theorems - GCSE Maths Higher
Triangle Congruence Theorems - SSS, SAS, ASA, AAS
The Zero Theorem - Official Trailer (2014)
Fold and Cut Theorem - Numberphile
The Futurama Theorem
Fundamental Theorem of Algebra - Numberphile
Theorem - Latin girl
The most beautiful idea in physics - Noether's Theorem
The Mean Value Theorem
Squeeze theorem (sandwich theorem) | Limits | Differential Calculus | Khan Academy