point-set topology
point-set topology
[′pȯint ‚set tə′päl·ə·jē] (mathematics)
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The book covers the set of real numbers, elementary point-set topology, sequences and series of real numbers, limits and continuity, differentiation, the Riemann integral, sequences and series of functions, functions of several real variables, the Lebesgue integral, and many other related subjects over nine chapters.
It is meant to precede his 2010 An Epsilon of Room, Volume 1, which introduces the analysis of Hilbert and Banach spaces, point-set topology, and related topics.
These approaches continue through the canon and are employed in subsequent courses such as Linear Algebra, Probability and Statistics, Real Analysis, Point-Set Topology, etc.
Readers should understand basics of point-set topology and differential topology.
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