The third edition of this highly acclaimed undergraduate textbook is ideal for teaching all the mathematics for an undergraduate course in any of the physical sciences. As well as lucid descriptions of all the topics and many worked examples, it contains over 800 exercises. Half of these are provided with hints and answers and, in a separate manual available to both students and their teachers, complete worked solutions. The remaining exercises are intended for unaided homework, full solutions are available to instructors at www.cambridge.org/9780521679718.