Robert G. Bartle is the author of books: Introduction to Real Analysis, The Elements of Real Analysis, The Elements of Integration and Lebesgue Measure, A Modern Theory of Integration, Elements of Integration, Studies in Functional Analysis, Solution Manual to a Modern Theory of Integration, Introduccio Al Analisis Matematico de Una Variable, The Elements of Integration and Lebesque Measure, Calculus

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In recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.

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Presents the basic theory of real analysis. The algebraic and order properties of the real number system are presented in a simpler fashion than in the previous edition.

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Consists of two separate but closely related parts. Originally published in 1966, the first section deals with elements of integration and has been updated and corrected. The latter half details the main concepts of Lebesgue measure and uses the abstract measure space approach of the Lebesgue integral because it strikes directly at the most important results--the convergence theorems.

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Suitable for instructors for use as a companion volume to the book, A Modern Theory of Integration (AMS Graduate Studies in Mathematics series, Volume 32).

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