I'm currently working through Rudin's Principles of Mathematical Analysis.
My background consists of mainly working through most of Apostol's Caluculus Vol. 1, Velleman's How to Prove it, Lang's Introduction to Linear Algebra, dabbling with Ross' Elementary Analysis: The Theory of Calculus, and am concurrently attempting Bartle and Sherbert's Introduction to Real Analysis and Rudin's Principles of Mathematical Analysis. I switch back and forth between Lang's Calculus of Several Variables and the analysis texts.
I am having issues with the problems in Rudin's text in chapter one. I have read the chapter repeatedly as well as basically written it in my own words, I feel like I understand the material but then the problems manifest a barrier. Is it entirely necessary for me in order to progress to the next problem set to have completed the prior set?