Elementary real analysis deserves its place as a core subject in the undergraduate mathematics curriculum because of the way it provides a rigorous foundation for the theory of calculus through logical deduction from the properties of the real number system, yet most textbooks on the subject treat it with the writing style of professional mathematics, unsuited to students at the undergraduate level, according to Denlinger (Millersville U.), who here addresses that situation by presenting a text with conversational exposition, emphasis on the underlying ideas and unity of the subject, proofs written in a style appropriate for undergraduate homework, and adoption of logical symbolism intended to aid the student in recognizing formal patterns of thinking, among other pedagogical features. Prerequisites include the usual core courses in calculus and linear algebra and at least one "transitional" course utilizing logic and proof techniques. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)