The third edition of this highly acclaimed undergraduate textbook is suitable for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics & many worked examples it contains over 800 exercises. New st&-alone chapters give a systematic account of the special functions of physical science cover an extended range of practical applications of complex variables & give an introduction to quantum operators. Further tabulations of relevance in statistics & numerical integration have been added. In this edition half of the exercises are provided with hints & answers & in a separate manual available to both students & their teachers complete worked solutions. The remaining exercises have no hints answers or worked solutions & can be used for unaided homework; full solutions are available to instructors on a password-protected web site www.cambridge.org/9780521679718.