Infinite-Dimensional Euclidean Spaces
The passage from a finite to an infinite number of space dimensions does not require fundamental changes in the axiomatic system developed in the preceding chapters. It must, however, be carried out with caution, just as in the case of any other operation in mathematics involving the infinite: evaluation of improper integrals, summation of infinite series, and other limit processes.
KeywordsEuclidean Space Infinite Number Infinite Series Linear Independence Independent Vector
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