Reference request: A real analysis textbook complementary to Stein's with examples

Question

I have real analysis this semester, and the reference is Stein. Is it only me, or is Stein's textbook actually very compressed and hard to digest/decipher? It provides too few examples.

I need a complementary textbook on real analysis that explains the concepts easier and with MANY EXAMPLES.

Thanks in advance.

Answer 1

If you need a book with lots of examples and that is aimed at preparing undergraduate students for a graduate level textbook, I would recommend Gail S. Nelson's "A User-Friendly Introduction to Lebesgue Measure and Integration".

I think this book would definitely serve as the complementary textbook that you're looking for.

Answer 2

I would reccomend Zygmund's book: Measure and Integral.

Also you can take a look at Royden's book :Real analysis.

And the book of G De Barra:Measure and integration.

Also another good book with examples is V.Bogachev: measure theory.