While there isn't a single "official" standalone solutions manual sold to the general public, several reputable academic resources provide detailed, step-by-step solutions to help you master the material: Selected Solutions to Elementary Analysis | PDF - Scribd
To understand why students crave this manual, let’s look at what Ross asks you to do. A typical problem (e.g., Exercise 10.4 on continuity) might ask: "Prove that f(x) = x^2 is continuous at x = 2 using the ε-δ definition." Ross Elementary Analysis Solutions Manual