Anyone looking at Real Analysis might look at Terry Tao's book, which is both conversational and friendly but also rigorous, starting from set theory and building all the way up.
Tell HN: I am going to host "Real Analysis" book club meetings
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Re: Tell HN: I am going to host "Real Analysis" book club meetings
#12Cool idea!
Am personally too scarred from taking analysis back in college to participate :)
Re: Tell HN: I am going to host "Real Analysis" book club meetings
#13Is the book online? I'd expect there are some that are. Will there be any Fourier analysis?
Judging from the initial topics listed "sequences and series, functions and continuity", it seems like this will be a beginning real analysis course.
Fourier analysis usually comes after we have covered differentiation, integration, metric spaces, basic topology at the very least.
Re: Tell HN: I am going to host "Real Analysis" book club meetings
#14Anyone looking at Real Analysis might look at Terry Tao's book, which is both conversational and friendly but also rigorous, starting from set theory and building all the way up.
What is it called?
Re: Tell HN: I am going to host "Real Analysis" book club meetings
#15Re: Tell HN: I am going to host "Real Analysis" book club meetings
#16Excellent idea. Real Analysis was the hardest course I took back in college. Too bad I've lost the book over the years. It's an old edition.
Re: Tell HN: I am going to host "Real Analysis" book club meetings
#17Just curious, any reason why Rudin's text wasn't selected? (Although I see Howie's text is for an undergraduate level.)
I'm a math professor, who got through most of Rudin as an undergrad. Felt like a form of hazing at the time ;) In my opinion, Rudin is a great book if you're reading it under the guidance of a good teacher. For self-study, I don't know of any particular alternative to recommend, but I would select something more "talky" -- i.e. which goes more into the background, motivation, and philosophy of the subject.
I love Bartle’s Real Analysis myself. Little history each chapter on a figure who impacted the specific topic and good explanations. Not sure how it compares to Rudin though.
Re: Tell HN: I am going to host "Real Analysis" book club meetings
#18Since the link in the "Tell HN" post is not clickable, here is a clickable link: https://susam.net/cc/real-analysis/
Re: Tell HN: I am going to host "Real Analysis" book club meetings
#19Re: Tell HN: I am going to host "Real Analysis" book club meetings
#20Just curious, any reason why Rudin's text wasn't selected? (Although I see Howie's text is for an undergraduate level.)
I'm a math professor, who got through most of Rudin as an undergrad. Felt like a form of hazing at the time ;) In my opinion, Rudin is a great book if you're reading it under the guidance of a good teacher. For self-study, I don't know of any particular alternative to recommend, but I would select something more "talky" -- i.e. which goes more into the background, motivation, and philosophy of the subject.
I was a CS undergrad at MIT and took the fancy math people’s analysis class for a math requirement and they used Rudin and it killed me. We went through like 170 pages of it for one semester. The professor was Sigurdur Helgason. I went into office hours one day and ask him a question. He slowly walked to his window and replied “the ravines in Iceland are deep” and it was at that point that I realized I was an engineer and not a mathematician.