He was a first-year undergraduate, drowning in a sea of epsilon-delta proofs. His lecturer, a brittle woman named Dr. Vance, had called Backhouse “a fossil, superseded by more constructive texts.” But the older students whispered about it. They said the 1970s classic didn't just teach you pure mathematics; it infected you with it.
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Most modern textbooks give you the formula. Backhouse gives you the proof and then immediately asks: "If the nth term of a series is n(n+1), find the sum to n terms." This constant step-up in complexity is why the book remains undefeated. He was a first-year undergraduate, drowning in a