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Interactive Mathematical Proofs

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  • Interactive theorem proving — is the field of computer science and mathematical logic concerned with tools to develop formal proofs by man machine collaboration. This involves some sort of proof assistant: an interactive proof editor, or other interface, with which a human… …   Wikipedia

  • Mathematical visualization — The Mandelbrot set, one of the most famous examples of mathematical visualization. Mathematical visualization is an aspect of geometry which allows one to understand and explore mathematical phenomena via visualization. Classically this consisted …   Wikipedia

  • List of interactive geometry software — Interactive geometry software (IGS, or dynamic geometry environments, DGEs) are computer programs which allow one to create and then manipulate geometric constructions, primarily in plane geometry. In most IGS, one starts construction by putting… …   Wikipedia

  • Philosophy of mathematics — The philosophy of mathematics is the branch of philosophy that studies the philosophical assumptions, foundations, and implications of mathematics. The aim of the philosophy of mathematics is to provide an account of the nature and methodology of …   Wikipedia

  • Computer-assisted proof — A computer assisted proof is a mathematical proof that has been at least partially generated by computer. Most computer aided proofs to date have been implementations of large proofs by exhaustion of a mathematical theorem. The idea is to use a… …   Wikipedia

  • History of geometry — Geometry (Greek γεωμετρία ; geo = earth, metria = measure) arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre modern mathematics, the other being the study of numbers. Classic geometry… …   Wikipedia

  • First-order logic — is a formal logical system used in mathematics, philosophy, linguistics, and computer science. It goes by many names, including: first order predicate calculus, the lower predicate calculus, quantification theory, and predicate logic (a less… …   Wikipedia

  • Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… …   Wikipedia

  • Isaac Newton — Sir Isaac Newton …   Wikipedia

  • Agda (theorem prover) — Agda is a theorem prover, i.e. a computer program that can check mathematical proofs. More specifically, it is an interactive system for developing constructive proofs in a variant of Per Martin Löf s Type Theory. It can also be seen as a… …   Wikipedia

  • Euclid — Infobox Scientist name = Euclid image width = caption = birth date = fl. 300 BC residence = Alexandria, Egypt ethnicity = Greek field = Mathematics known for = Euclid s Elements Euclid (Greek: . polytonic|Εὐκλείδης mdash; Eukleidēs), fl. 300 BC,… …   Wikipedia

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