In a semester or two i am going to take an analysis class that uses "principles of mathematical analysis" as its book and i am terrified since it seems like a really difficult book. i havent had much experience with proofs outside of linear algebra and geometry, so in other words i dont have much. i have been trying to through "elementary analysis: the theory of calculus" and i was going good until i got to these pseudo epsilon delta proofs that defined the limit for a sequence and i just got destroyed by every single problem and even after seeing the solutions i couldn't really apply what i saw to other questions. i feel like i am going to be crushed by the analysis course since i can't get very far in this book. so how would you guys recommend just preparing for a course like analysis since i can't get through an "elementary" analysis book without being destroyed?