This book provides an introduction to those parts of analysis that
are most useful in applications for graduate students. The material
is selected for use in applied problems, and is presented clearly
and simply but without sacrificing mathematical rigor.The text is
accessible to students from a wide variety of backgrounds,
including undergraduate students entering applied mathematics from
non-mathematical fields and graduate students in the sciences and
engineering who want to learn analysis. A basic background in
calculus, linear algebra and ordinary differential equations, as
well as some familiarity with functions and sets, should be
sufficient.
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