Which Mathematical Analysis I Book or Textbook Is The Best?

I went to Berkeley and the real anaylsis class used Elementary Analysis: The Theory of Calculus by Ross. It is a bit simpler than Rudin but much more readable. We did pretty much everything.

Not sure, but "Introductory Real Analysis" by Kolmogorov & Fomin (translation by RA Silverman, publ Dover) is rigorous and extensive and not expensive.

Tao's Analysis I is my favorite. It is very reader friendly and eloquently written.

I would recommend Bartle's "The Elements of Real Analysis".

Check the many lecture notes available on the net, e.g. William Chen's. The Trillia Group has textbooks available for free too. Check the AMS for suggestions. MIT has lots of stuff on OCW, and there is now Coursera.