Unlike David Griffiths' QM book, this one contains lots of relevant worked out examples and problems. Zettili also displays the theory in an open and honest way, i.e. no hiding.
There's a wealth of information in this book, so as always when studying a book, you should focus on only those topics that are relevant to your course. Otherwise you might get lost and waste time on straying.
If you find a topic of interest to you, e.g. Clebsch-Gordan coefficients (for addition of angular momenta), then you will face plenty of equations that may look frightening at first, but after struggling with those for a few hours, the payoff is absolutely fulfilling! Griffiths won't give you those Heureka-moments, but Zettili will give you the mental feedback you secretly desire to motivate why you're studying such a difficult subject like QM!
I'm reviewing this QM book from a mathematical point of view, so if you're looking for a more conceptual QM book, then I recommend Feynman's books.
If you haven't studied QM before, then I recommend McQuarrie's Physical Chemistry book. The first 8 chapters of that book will give you an easy and relevant tour of essential calculations in QM for beginners. I also recommend McQuarrie's Mathematical methods book, since it contains a section on the Gamma function, which I believe is crucial to be able to do calculations in QM.
Zettili's book displays QM with Dirac's Bra-c-ket notation, which is Zuper great tool to do integrals. It looks difficult at first, but you'll be in pain if avoid it!
The problem with Griffith's QM book is that you only get half the book for the full price, the other half is included in the Instuctor's solutions manual. That way you feel very cut off several times in every chapter and there's no flow in the book. In Zettili's book you get a Zuper complete set of theory and solutions, which is great for reference! Zettili will show you how it's done through multiple solved examples and solved problems , and after that you're so full of joy that you'll happily do the extra problems (with no answers) in the end of each chapter!
If you only have money for one of these 2 books, then I thoroughly recommend Zettili's QM book. But if you're a newbie to QM, have a look at McQuarrie's Physical Chemistry book, it also has a student solutions manual sold separately, with ALL solutions.
Sure, there are typos in Zettili's book. But are these really an obstacle for learning QM? No! It's just gratifying to be able to correct the author.
The math needed for doing the problems in this book, is mainly Calculus and Linear Algebra, but since there are so many new concepts from Mathematical methods in this book I recommend owning a Mathematical methods book. This is not beacuse new math stuff like Legendre polynomials and Spherical harmonics, etc. offer new math. They don't! They're simply strange names that use Calculus in their calculations! But you might start wondering what they are and therefore forget to learn QM which you shouldn't, so this is why I recommend a Math methods book.
Don't forget that physics and mathematics is just lots of simple things, with emphasis on LOTS! This is why it's so "difficult", it's difficult to comprehend.
If you're seriously studying QM for your Master's degree, then you will face almost all the topics within Zettili's book. So you cannot avoid the difficult math in serious QM, because QM IS difficult math!
And Zettili's QM book is one of the best books for undergraduate physics students.
