Principes d'analyse mathématique: Cours et exercices

Rudin's approach is famously precise and dense—I'm curious whether this was driven by his teaching philosophy or a desire to set a high standard for clarity in math.

The meticulous logical structure is impressive but also made me wonder if this style appeals more to purists or if it can be accessible to new learners.

The progression from basic concepts to advanced theorems feels very deliberate—wondering if Rudin mapped out the entire flow or built it step by step.