A Primer Of Lebesgue Integration. 2nd Edition

This successful text offers a reader-friendly approach to hebesgue integration. It is designed for advanced undergraduates, beginning graduate students, or advanced readers who may have forgotten one or two details from their real analysis courses. "The Lebesgue integral bas been around for almost a century. Most authors prefer to blast through the preliminaries and get quickly to the more interesting results. This very efficient approach pats a great burden on the reader; all the words are there, but none of the music." Bear's goal is to proceed more slowly so the reader can develop some intuition about the subject. Many readers of the successful first edition would agree that he achieves this goal. The principal change in this edition is the simplified definition of the integral. The integral is defined either with upper and lower sums as in the calculas, or with Riemann sums, but using countable partitions of the domain into measurable sets. This one-shot approach works for bounded or unbounded fonctions and for sets of finite or infinite measure.