Is there any newly written textbook that discusses the Riemann-Stieltjes integral from the same perspective as in Chap. 6 in the book Principles of Mathematical Analysis by Walter Rudin, 3rd edition?
I've got the book Mathematical Analysis by Tom M. Apostol, 2nd edition, and Calculus volumes 1 & 2, 2nd edition, also by the same author. But neither of these, it apperas to me, discusses integration using the same approach as has been adopted by Rudin.