Metric Spaces
Publication year: 2006
: 978-1-84628-244-7
This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions.
: Mathematics and Statistics, Compact space, Connected space, Continuous functions, Hilbert space, Metric Spaces, Open and closed sets, connected and compact spaces, real analysis, set
