Book:Christian Berg/Metriske rum

This book is based on a set of notes written in 1990 by the author to be used at the basic course about metric spaces at the University of Copenhagen.

Subject Matter

 * Metric Spaces

Contents

 * 1: Metriske rum. Normerede rum
 * 2: Topologiske begreber i et metrisk rum
 * 3: Kontinuerte afbildninger
 * 4: Konstruktioner med metriske rum
 * 5: Fuldstændige metriske rum
 * 6: Kompakte mængder. Uniform kontinuitet
 * 7: En fixpunktssætning og dens anvendelse i differentialligningsteori

Download
The book can be downloaded as a PDF file from the University of Copenhagen for free.

Download the book from here.