I currently own copies of these texts by Royden and Angus Taylor, and want some help in deciding which text to choose for self study of measure theory. I have come across favourable reviews of both texts. Royden's book is deemed a classic but Taylor's book has a juxtaposition of approaches to integration via linear functionals and via measure which seems like a plus.
For some background, I am comfortable with the first 8 Chapters of baby Rudin. The reason I can't do them consecutively is that it would take too much time. My goal is to be well prepared for graduate courses on Applied Differential equations, Partial Differential Equations and possibly Functional analysis.
If I have to choose just one text, which book might be the better bet? I am open to other suggestions as well. Thanks.