Preface; 1. Prelude to modern analysis; 2. Metric spaces; 3. The fixed point theorem and its applications; 4. Compactness; 5. Topological spaces; 6. Nomed vector spaces; 7. Mappings on normed spaces; 8. Inner product spaces; 9. Hilbert spaces; References; Index.
An advanced 2003 undergraduate text on mathematical analysis designed for pure or applied mathematicians, covering theory as well as applications.
'The book can be warmly recommended to all instructors of graduate and undergraduate courses in analysis, as well as for interested students.' Acta Scientiarum Mathematicarum