My goto source is Miri’s guide, but analysis seems to be the one topic that’s missing. TurnTrout mentioned this book which looks decent on first glance. Are there any competing opinions?
Terence Tao is great; I haven’t read that book but I like his writing a lot in general. I am a big fan of the Princeton Lectures in Analysis by Stein and Shakarchi; clear writing, good exercises, great diagrams, focus on examples and applications.
What is the best textbook on analysis out there?
My goto source is Miri’s guide, but analysis seems to be the one topic that’s missing. TurnTrout mentioned this book which looks decent on first glance. Are there any competing opinions?
Terence Tao is great; I haven’t read that book but I like his writing a lot in general. I am a big fan of the Princeton Lectures in Analysis by Stein and Shakarchi; clear writing, good exercises, great diagrams, focus on examples and applications.
(Edit: also, fun fact, Stein was Tao’s advisor.)
Epistemic status: ex-math grad student