Course literatureS. Abbott: Understanding Analysis, Springer,
2nd ed. 2015, ISBN 978-1-4939-2711-1.
(1st ed. 2001, ISBN 0-387-95060, can also be used.)
The book is sold by, among others, Bokakademien, Kårallen, Campus Valla, LiU.
Extra materialAn introduction to metric spaces, by Andersson-Björn-Wiman (preliminary version).
Kardinalitet (in Swedish)
En konstig kurva (in Swedish)
The book (Abbott) is mainly considering R while I, during the lectures, will discuss many results more generally on metric spaces, in particular Rn, (when it doesn't cost too much). See the notes by Andersson-Björn-Wiman for the metric space theory included in this course.
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Last updated: 2022-10-14