I completed solving the first five chapters(construction of reals, sequences and series, basic topology of [imath]\mathbf{R}[/imath], functional limits and continuity, the derivative) from an elementary undergrad analysis book, Understanding Analysis, by Stephen Abbott.

Any recommendations for (i)probability theory and (ii)measure theory book(s) that could be a natural progression to Abbott? I have been suggested Probability w/ Martingales by David Williams (does not pre-suppose any measure theory).

Cheers,

Quasar.