Mastering the Skills of Analysis

Another book for the first proof based analysis course: Why in the world should anyone care? Most books present the theory in the right order, with precision and in detail. This is essential because one point of the course is to learn the precise ideas and results of basic analysis. Doing analysis is also an essential skill for mastery and moving further in analysis. While texts contain exercises, the explanation of skills and a plan of organized practice is often missing. This book complements traditional books by explaining and illustrating the skills of a first course in analysis and giving a plan of organized practice to master them.