Topic outline

  • Material


    Lecture notes

    Lecture notes will be written. They are a work in progress, and will be frequently updated during the course (updates are announced on the course Zulip chat, and the link here always points to the most up-to-date version). Please inform Kalle Kytölä about mistakes you find in the notes!


    Textbooks in English


    As an English textbook we recommend either of the following:

    • N. L. Carothers: Real analysis, Cambridge University Press 2000. (The contents of the course correspond roughly to part 1, "Metric spaces", of this textbook.)
    • W. Rudin: Principles of mathematical analysis,  McGraw-Hill 1976.

    You may find the following Finnish-Swedish-English dictionary on metric space related terminology helpful:


    Textbooks in Finnish and Swedish

    An excellent textbook in Finnish (translated also to Swedish) is:

    • J. Väisälä: Topologia I. Limes ry 1999.