Examples are lacking, that is nonexistent. On the other hand, the book is dense and clear.Pietro
Read the measure/integration part. Not much motivation or intuition, but good job with the choice of axiomatic development (very abstract from the outset). Terrific exercises.DJ
likely text for math 525aJoecolelife
This book deserves at least 4 in my opinion. This is an advanced undergraduate or graduate level textbook. Lacking examples? Create yourself. This is one of the ways to know how maths objects behave. Definitions are not motivated? Good, motivate yourself. Too terse? It should not be that terse, after one has seen concrete treatment of Lebesgue integration, also having accquired the mathematical maturity from Weirstrass, Arzella Ascolli, Baire Category Theorems, and Fourier Analysis (Pugh's Real Mathematical Analysis, Carother's Real Analysis, Stein's Fourier Analysis are excellent) Being terse can be a good thing: intuitionise and geometrise the materials. Try to think of a way to present them in a manner so that people with (honours) 1st year calculus (Spivak, Apostol) can listen as stories. Regarding someone who reviewed the book, yes a picture is worth a thousand words. But eventually, seeing others' pictures is not sufficient; we need to learn to be mature enough to draw pictures ourselves. Folland provides the platform. I believe the negative reviews come from the fact that the readers have not yet had the sufficient preparation before coming to Folland (Poor organisation of courses exists everywhere, not students' fault). The book itself is actually a very good book to learn from.