Designed for students of mathematics, the natural sciences, and economics with familiarity with real analysis but not necessarily topology or measure theory, this text introduces integration theory via the "new" Henstock-Kurzweil theory of the generalized Riemann integral (well, relatively new for the theory of integration originated by Newton and Leibniz). With worked examples and exercises some with partial solutions, Bartle (U. of Illinois, Urbana-Champaign; Eastern Michigan U., Ypsilanti) gives a full treatment of the class of integrable functions including all conditionally convergent "improper" integrals, and Lebesgue intregrable functions. Indexed by subject and symbol. Annotation c. Book News, Inc., Portland, OR (booknews.com)