- #1

- 53

- 0

## Main Question or Discussion Point

So the course I'm taking doesn't have a textbook requirement just lecture notes as the study material. While these are sufficient I would like to supplement with an outside reference that is a bit more in depth / explanatory.

It's your typical undergrad real analysis course covering:

The least upper bound axiom, real numbers, compactness, sequences, continuity, uniform continuity, differentiation, Riemann integral etc.

Please don't suggest Rudin etc. I lack the mathematical maturity for these, which I should be building in analysis... but I don't see how trying to use a book like this as a supplement to an intro uni course would do me much good. May work for other math geniuses, but doesn't for me.

I had looked at Apostol's Mathematical Analysis. Seemed good covered all of the topics, but it's (from my point of view) a little dense. Covering topics in 1-2 pages and moving on. I don't mind dryness, and do in fact like his writing style / explanations being a fan of his calculus series. Would prefer a book with a little more explanation / discussion than statement as I find this helps me more than the latter.

Any ideas?

It's your typical undergrad real analysis course covering:

The least upper bound axiom, real numbers, compactness, sequences, continuity, uniform continuity, differentiation, Riemann integral etc.

Please don't suggest Rudin etc. I lack the mathematical maturity for these, which I should be building in analysis... but I don't see how trying to use a book like this as a supplement to an intro uni course would do me much good. May work for other math geniuses, but doesn't for me.

I had looked at Apostol's Mathematical Analysis. Seemed good covered all of the topics, but it's (from my point of view) a little dense. Covering topics in 1-2 pages and moving on. I don't mind dryness, and do in fact like his writing style / explanations being a fan of his calculus series. Would prefer a book with a little more explanation / discussion than statement as I find this helps me more than the latter.

Any ideas?