In mathematical physics, Minkowski space (or Minkowski spacetime) (/ m k f s k i,- k f-/) is a combination of three-dimensional Euclidean space and time into a four-dimensional manifold where the spacetime interval between any two events is independent of the inertial frame of reference in which they are recorded. In mathematics, Hilbert spaces (named after David Hilbert) allow generalizing the methods of linear algebra and calculus from (finite-dimensional) Euclidean vector spaces to spaces that may be infinite-dimensional.A Hilbert space is a vector space equipped with an inner product which defines a distance function for which it is a complete metric space. Linear algebra is the branch of mathematics concerning linear equations such as: + + =, linear maps such as: (, ,) + +,and their representations in vector spaces and through matrices.
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