Reading course?

[Jeremy Weissmann]

Would anybody be interested in doing a reading course where we work through a book (in calculational or traditional mathematics), presenting sections, working on problems, discussing expositions style, maybe trying to apply formalism, etc?

If so, what subjects or books interest you?

Best,

+j

[Jamie Oglethorpe]

I am interested. It has been a long time since I have done more than a
few toy proofs, so I cannot recommend any texts. I had some fun
formulating a calculus for open and closed sets from an introduction to
topology. I don't have any of that any more, but I remember my distaste
for the infinite sets used in the text, instead positing small finite
sets when I needed counterexamples. I recast the axioms in a form
inspired by EWD.

https://en.wikipedia.org/wiki/Talk%3AClosure_(topology)#Alternative_characterization

I think this would be a way to proceed with a more classical text.

Jamie O

[Lucas Brunno Luna]

Dear Jeremy,

One must admit that it is extremely kind of you to make such an intriguing proposal. You have sparked my interest. There are a number of subjects of which my knowledge is very limited, and I would like to make myself more familiar with such areas. We could pick one of following:

• Trigonometry;
• Algebra, and specially what concerns polynomials and their roots;
• Matrices (also in connection with linear equations; possibly with linear algebra in general).
  

I do not have any texts on these subjects, though. But if I could interest you in helping me out with the above, I would be willing to hear about your suggestions on how we might assist ourselves in getting acquainted with and in improving our expertise in these matters.

All the best, everyone.

[MS]

Hi Jeremy

I have been following these posts for quite some time, very interesting discussions you all have. Some of the Discrete proofs I really wish I understood,

also I am looking for the practical purpose of these complex proofs, what insight is to be drawn. Where are they applied in Engineering applications?

I am happy to participate in your exercise, what I want to get out of it Practical Insights into the nature of the proofs and where it is used and why it's important?

Let us know 

Mahesh 

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[Kevin]

Hi Jeremy,

I think that's a nice idea. Suggestions: real analysis, metric spaces, concrete mathematics on the one hand; PCPS, On a Method on the other. I'm interested to read your suggestions...

Best regards,

Kevin

[Jeremy Weissmann]

Hi all,

I created a short poll to see what sort of topics people are interested in. Let me know!

http://www.polljunkie.com/poll/bexkst/mathmeth-reading-course

+j

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[Jeremy Weissmann]

Also hopefully it is clear from the poll that you can select multiple answers. Choose anything you're interested in.  Thanks for responding!

[Jeremy Weissmann]

I've added in "Graph Theory" on someone's request. Keep submitting and I'll make a decision on Friday.

+j