Ask HN: Resources to learn real analysis?

Hi, I am an undergradute student of Applied Mathematics in Brazil. This semester, I will do a Real Analysis course and I am keen on learning this subject!

I love HackerNews. This is a great community with awesome people and marvelous content going on. It would be nice to receive some advice from you guys.

The professor is using the book "Analysis", from Terrence Tao. I am looking forward to supplementary material that will help me absorb this and gain some intuition.

1 - Is there a YouTube content particularly good for this topic?

2 - Is there some specific good strategy to study Analysis?

I really like to study doing exercises and, then, checking the answer. Not just the final answer but the whole answer.

This is not always available. Slader is a great website for that. Maybe there is an even a better resource than Slader that I do not know.

Thanks in advance!

One thing that helped me was to draw pictures both before and during proofs.

The introductory one is known as Baby Rudin and is a pretty good first exposure to real analysis.

Abbotts Understanding Analysis.

Tao's Analysis I is fantastic. There's a review available from the MAA: https://www.maa.org/publications/maa-reviews/analysis-i-0

The book doesn't touch on applications. Since you're studying applied math, you might want to supplement it with something like "Calculus with Applications" by Peter Lax and Maria Terrell.

On YouTube one can find lecture videos from a real analysis course given by Francis Su (former president of the MAA): https://www.youtube.com/playlist?list=PL0E754696F72137EC