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.