Napkin v1.5 (and more)

Careful readers of my blog might have heard about plans to have a second edition of Napkin out by the end of February. As it turns out I was overly ambitious, and (seeing that I am spending the next week in Romania) I am not going to make my self-imposed goal. Nonetheless, since I did finish a decent chunk of what I hoped to do, I decided the perfect is the enemy of the good and that I should at least put up what I have so far.

So since this is someplace between version 1 and the (hopefully eventually) version 2, it seems appropriate to call it version 1.5. The biggest changes include a complete rewrite of the algebraic geometry chapters, new parts on real analysis and measure theory, and a reorganization of many of the earlier chapters like group theory and topology, with more examples and problems. There’s also a new chapter 0 entitled “sales pitches” which gives an advertisement for each of the parts later. The obvious gaps: the chapters on probability are yet to be written, as is some more algebraic geometry. The updated flowchart from the beginning of the book is pictured below.

recent-flowchart

You can download the latest version from the usual page, or directly from https://usamo.files.wordpress.com/2019/02/napkin-v15-20190220.pdf. The number of errors has doubtless increased, and corrections are comments are more than welcome.

Incidentally, this seems as good a time as any to mention two more things:

That’s all.  Hope you all like it! Best wishes from the Zurich airport.

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5 thoughts on “Napkin v1.5 (and more)

  1. I find that there is not a lot of analysis represented in the book, comparing to algebra and geometry. For example, I would like to see the following either appearing as chapters or “topics not in napkin”:
    – “several complex variables” seems to be missing under “complex analysis”
    – the “differentiation” part of measure theory also seems to be missing
    – in general, “hard” analysis
    – theory of differential equations
    – functional analysis/operator theory
    Also, no combinatorics is covered in the book. Maybe the appendix should list it.

    Like

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