Recently, I took a course in real analysis, using Rudin's Principles of Mathematical Analysis. My professor was brilliant, but not very good at explaining things. So in despair, I turned to Mr. Rudin. He, too, is obviously brilliant, but unfortunately he expected me to be equally brilliant. I'm not, and I didn't understand everything in the book right away. In fact, it often took me days and days to puzzle out even a single section.
But in the end, I managed to do that. At the end of the course, then, I had tons of little notes, notes that I would have killed for at the beginning of my course. And then it occurred to me: why make everyone reinvent the wheel?
So I learned the math-typesetting language LaTeX, and will be posting my annotations of Rudin to this blog on a regular basis. I'll do a new post for every section of Rudin's book (based on the 3rd and most recent edition). I'll first quote Rudin in places where I found his proof to be insufficient (and yes, sometimes it's pretty obvious, but I like to be thorough) or unclear, and then follow each quote with an explanation of my own.
If you have any questions, please feel free to follow up in the comment section. I hope this helps you on your way!
3 comments:
Hey!
This blog will be very helpful to all those who have to parse their way through Rudin. Thanks much!
--smg
w00t. Thanks for all your hard work.
--gs
thanks for providing such a great resource! keep up the good work :-).
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