Simply stated: This is not only the best text book written on he subject of quantum collision theory...it is quite possibly the best text book written on ANY subject. The author is fearless and defers the introduction of stationary scattering states until Chapter Ten (!), opting instead to tell the truth in a profoundly well-motivated development of the time-dependent story. Perhaps the only downside: lack of treatment of N-coupled channels and related topics which would be of interest to chemists working on molecular scattering problems. However, no other book or treatment exists which will leave someone better equipped to go grapple with papers in the literature, and much of the subject matter for 'applied' problems can be picked up by reading the original papers of Kouri, Truhlar, et al., using Taylor's book for a strong foundation. All texts -- on ANY subject -- should be constructed the way Taylor has chosen to do. This is an extremely important (and beautiful) text.