“This monograph is an excellent reference (and often a true 'eye-opener') for researchers working in quantum groups ... S. Majid is well-known for his lively and very informative style of writing ... the book is very well written, the proofs contain enough details to make them easily readable but still challenging enough to keep students interested … I can full-heartily recommend this work as a basis for a one-term postgraduate course or as an introductory text to all mathematicians who would like to learn quickly the main ideas, techniques and wide range of applications of quantum group theory." @Zentralblatt MATH