Measure Theory And Lebesgue Integration

the long version

The extension of the Riemann integral into a generalized partition set is content mainstream. This is not light reading. While the book is “short” the material is highly concentrated. It is assumed the reader has a sufficient grouding in Riemann integration from the calculus, advanced calculus and analysis especially in limits and continuity. Ideally, a background in topology would serve well.The chapters are self contained with theory examples presented at critical points. It is recommended that supplementary material be used in working through some of the more in-depth proofs of the more abstract theorems.