Hey there! Let's work through this question—this is such a common spot for folks dipping their toes into analysis.

First off, huge props to you for grabbing a book that already feels interesting. Sticking with material that keeps you engaged is half the battle when learning something as rigorous as analysis. If that old bookstore find walks you through basic concepts (like limits, sequences, continuity) with relatable examples and explanations that click, don't toss it aside just yet. Building intuitive understanding first makes all the formal, proof-heavy stuff way easier to wrap your head around later.

Now, about Baby Rudin: it’s a total classic in the field, but let’s be honest—it’s not exactly beginner-friendly. It’s super concise, jumps straight into abstract proofs from page one, and assumes you already have a solid grip on foundational math (like set theory and basic proof writing). A lot of new learners get discouraged by how little hand-holding it offers. That said, if you already feel confident with mathematical reasoning, love a good challenge, and want to dive straight into the strict formalization of analysis, it could work for you—just be ready to spend extra time unpacking every section, maybe even working through problems multiple times.

My go-to advice? Stick with the book you have first until you’re comfortable with core introductory ideas. Once you’ve built that intuition and gotten some proof practice under your belt, Baby Rudin will make way more sense as a next step to deepen your rigor. Alternatively, if you find your current book starts to feel too shallow or doesn’t cover the level of rigor you’re craving, you can switch to Rudin—but go slow, and maybe keep a more intuitive supplementary resource handy to fill in gaps when things get confusing.

备注：内容来源于stack exchange，提问作者vandel