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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