An introduction to classical real analysis

Preliminaries Numbers Sequences and series Limits and continuity Differentiation The elementary transcendental functions Integration Infinite series and infinite products Trigonometric series Bibliography
Other works by the author
Index

his classic book is a text for a standard introductory course in real analysis, covering sequences and series, limits and continuity, differentiation, elementary transcendental functions, integration, infinite series and products, and trigonometric series. The author has scrupulously avoided any presumption at all that the reader has any knowledge of mathematical concepts until they are formally presented in the book. One significant way in which this book differs from other texts at this level is that the integral which is first mentioned is the Lebesgue integral on the real line.