The 3rd version of this hugely acclaimed undergraduate textbook is appropriate for educating the entire arithmetic for an undergraduate path in any of the actual sciences. in addition to lucid descriptions of all of the issues and lots of labored examples, it comprises over 800 workouts. New stand-alone chapters provide a scientific account of the 'special features' of actual technology, conceal a longer diversity of functional functions of advanced variables, and provides an advent to quantum operators. extra tabulations, of relevance in records and numerical integration, were further. during this version, half the routines are supplied with tricks and solutions and, in a separate handbook to be had to either scholars and their lecturers, whole labored ideas. the rest routines haven't any tricks, solutions or labored options and will be used for unaided homework; complete recommendations can be found to teachers on a password-protected website, www.cambridge.org/9780521679718.