314 – Suggested reading

This is a (somewhat expanding) list of suggested additional references. Some cover topics discussed in lecture, others add new material that complements what we covered. The level varies: Some are basic, others are more advanced and portions of them may require knowledge beyond this course.

For the group project: Choose one of these articles. Inform me by email, to make sure it has not already been chosen. Feel free to suggest different papers or other topics, I’ll see whether we can use them.

Write (type) a note on the topic discussed in the paper you have chosen, include details of some of the results discussed there. Make sure the proofs you include contain all needed details (typically proofs in articles are more sketchy than what we are aiming for through the course), and that the write up is your own, even if modeled on the arguments in the paper. Include references as usual. Turn this in by Thursday, May 15, at 10:30 am. Feel free to turn it in earlier, of course. I encourage you, as you work through the paper, to share your progress with me during office hours, so I can give you some feedback before your final submission.

Groups:

  • Booker Ahl, Dorthee Berman, and Stephanie Potter: Russ’s translation of Bolzano’s paper.
  • Tim Deidrick, Justin Durflinger, and Ariel Farber: Calkin-Wilf and Malter-Schleicher-Zagier on enumerating the rationals.
  • Carrie Smith, and Jordan Wilson: Fleron’s note on the history of the Cantor set and function.
  • Caleb Richards, and Chris VanDerhoff: McShane’s paper on the Henstock–Kurzweil integral.
  • Kenny Ballou, Sarah Devore, and Luke Warren: Nitecki’s paper on subseries.
  • Farrghun Abdulrahim, and Kenneth Coiteux: Burns and Hasselblatt’s paper on Sharkovsky’s theorem.
  • Tyler Clark: Niven’s paper on formal power series.
  • Joe Magdaleno, and Piper Gutridge: Bruckner and Bruckner-Leonard  on derivatives.

One Response to 314 – Suggested reading

  1. […] Based on homework. There will also be a group project, that will count as much as two homework sets. I expect there will be no exams, but if we see the […]

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