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Infinite-Dimensional Euclidean Spaces

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Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG,volume 22)

Abstract

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.

Keywords

  • Euclidean Space
  • Infinite Number
  • Infinite Series
  • Linear Independence
  • Independent Vector

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Infinite: becoming large beyond any fixed bound—Mathematics Dictionary

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  • DOI: 10.1007/978-1-4684-3926-7_6
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© 1981 Plenum Press, New York

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Nowinski, J.L. (1981). Infinite-Dimensional Euclidean Spaces. In: Applications of Functional Analysis in Engineering. Mathematical Concepts and Methods in Science and Engineering, vol 22. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3926-7_6

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  • DOI: https://doi.org/10.1007/978-1-4684-3926-7_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-3928-1

  • Online ISBN: 978-1-4684-3926-7

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