Analysis – HW 2 – Metric spaces
This set is due Wednesday, October 16, at the beginning of lecture. TeX source. Pdf file.
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On proofs and more
This is a transcript of an exchange on Twitter on what mathematicians and others expect from proofs. (A previous exchange on a different topic is here. Twitter produces surprisingly nice results...
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Analysis – HW 3 – Strong measure zero
This set is due Wednesday, October 30, at the beginning of lecture. [Edit, Oct. 30: The original version of the problem set had some mistakes, and has been replaced accordingly.] Recall that a set is...
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Analysis – Increasing functions
Some of the topics discussed today in lecture came up on a question at Math.Stackexchange. I am reposting my answer here, slightly edited. The question, by Mah Moud, was whether there can be a function...
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Office Hours
This week, I will not be able to hold office hours on Thursday (my son does not have school on Hallowe’en). Instead, they will be on Wednesday, 3-4:30 pm.
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Analysis – HW 4 – Fractals
This set is due Friday, November 15, at the beginning of lecture. We discuss the Hausdorff metric on the collection of compact subsets of a complete metric space, and fractals obtained by contractions....
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