Book:Christian Berg/Metriske rum

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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


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


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

Download the book from here.