Abstract
In the study of analysis in ℝN (and later on manifolds) we are interested in such things as continuity, differentiability, and integrability. All these ideas depend on limit processes and convergence. Let us glance at some examples of convergence which may be familiar to the reader from a previous study of functions of a single variable. If some of the ideas — for example, Lebesgue integration or uniform convergence — are unfamiliar, this should not be cause for dismay. We are called not so much to appreciate the particular ideas as their variety.
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© 2002 Springer Science+Business Media New York
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Mikusiński, P., Taylor, M.D. (2002). Metric Spaces. In: An Introduction to Multivariable Analysis from Vector to Manifold. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0073-4_2
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DOI: https://doi.org/10.1007/978-1-4612-0073-4_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6600-6
Online ISBN: 978-1-4612-0073-4
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