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Linear algebra is concerned primarily with finite-dimensional vector spaces.
Although many of the theorems of linear algebra can be generalized to infinite-
dimensional spaces, in order to do so it is usually necessary to introduce a
spaces over 3, and if t is a bilinear mapping from U, X U2 into '21, then the pair (
31, x) is a tensor product of the vector spaces U,, U2, if for every bilinear mapping
a from U, X U2 into 3, there exists a unique linear transformation <p from "21 into
a similar sense from the space of all ordered pairs of vectors into the real
numbers between 0 and n. Therefore, the real numbers are needed for such
computations; for simplicity the scalar field can be chosen to be the complex
numbers (£ ...
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The New Encyclopaedia Britannica (Encyclopaedia)User Review - Not Available - Book Verdict
For virtually all its 238 years,Britannica has ruled the shelves as a peerless general encyclopedia. Reviewers have consistently given it high marks for most of the 12 criteria identified inKister's ... Read full review