A two-semester graduate textbook providing a comprehensive introduction to two topics of classical analysis. Presumes a good grounding in advanced calculus and complex-variable theory; previous knowledge of ordinary differential equations would be helpful but not essential. Includes error bounds or methods for obtaining them for most of the approximations and expansions. Reissued with corrections from the 1974 edition published by Academic Press. Annotation c. by Book News, Inc., Portland, Or.