Continues the outstanding tradition of earlier volumes with attention to detail, well-written explanations and a lively, accessible approach to learning. The size of this edition has been substantially reduced by rewriting major portions of the material for more efficient exposition and effective use of space. New material has been added on parametric representations of surfaces, Jacobians and Kepler's laws. Also includes new reference matter on complex numbers as well as biographies and historical notes which capture the personalities of the great mathematicians.