This book provides an introduction to those parts of analysis that are mostuseful in applications for graduate students. The material is selected for usein appl... » 

This book provides an introduction to those parts of analysis that are mostuseful in applications for graduate students. The material is selected for usein applied problems and is presented clearly and simply but withoutsacrificing mathematical rigor.The text is accessible to students from a wide variety of backgroundsincluding undergraduate students entering applied mathematics from nonmathematical fields and graduate students in the sciences and engineering whowant to learn analysis. A basic background in calculus linear algebra andordinary differential equations as well as some familiarity with functions andsets should be sufficient. «