If you want to learn pericyclic chemistry (with no mathematics), this book is the right choice. For understanding the text, is only necesary to have a little background in order to get an idea about the subject of the boook (most organic chemistry books, for example: John McMurry or T. R. W. Graham Solomons classic texts, have a chapter about this kind of reactions and reviewing them will be enough). Fleming's writing style is so easy to asimilate, and the book really "teaches" you the basic principles: mechanisms, Woodward-Hoffmann rules, stereochemistry prediction (and tells you "why" it is like this), exceptions and their possible explanations. There are examples all over the text, but the most important thing....It has end-of-chapter problems, and "their answers" too (so you can check if you have done it well).
After trying it, I got some skills about this kind of reactions and they allow me to face some "Advanced Organic Chemistry" books, without "feeling scared of them" any more.