id: 02354359
dt: b
an: 2003e.04054
au: Cohen, Graeme L.
ti: A course in modern analysis and its applications.
so: Cambridge University Press, Cambridge (ISBN 0-521-52627-2). 346 p. (2003).
py: 2003
pu: Cambridge University Press, Cambridge
la: EN
cc: I15
ut:
ci:
li:
ab: The textbook is designed for a one-semester course at a senior
undergraduate level, and appeals to mathematics undergraduates, but
also to those who need to learn some mathematical analysis for use in
other areas such as engineering, physics, biology, or finance, as well
as to mathematics teachers. Topics such as completeness and compactness
are approached initially through convergence of sequences in metric
space, and the emphasis remains on this approach. However, the
alternative topological approach is described in a separate chapter.
This makes the book useful as an introduction to more advanced topics
such as functional analysis. Nominal divisions of pure and applied
mathematics have been merged, leaving enough for students of either
inclination to have a feeling for what further developments might look
like. Applications have been included such as differential and integral
equations, systems of linear algebraic equations, approximation theory,
numerical analysis and quantum mechanics.
rv: