<p>^^ Villager, in my experience, learning linear algebra is a better way to learn how to write proofs. The reason is that analysis (the basics) begins with a careful development of the theory of the real numbers from basic principles, and the power of it almost completely arises from the foundational nature. The intuition is generally clear and not hard, but to someone shaky with proof-writing, Rudin is especially useless.</p>
<p>That is, purely in terms of pedagogy, learning how to write formally from a subject that is formal by nature is better than learning to do so from a subject that is intuitive.</p>