Book:Christian Berg/Metriske rum

Christian Berg: Metriske rum

Published $\text {1997}$, Universitetsbogladen

ISBN 87-91180-01-5

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.