Measure and Integral Vol 1 Free Download

This is a systematic exposition of the basic part of the theory of mea­ sure and integration. The book is intended to be a usable text for students with no previous knowledge of measure theory or Lebesgue integration, but it is also intended to include the results most com­ monly used in functional analysis. Our two intentions are some what conflicting, and we have attempted a resolution as follows. The main body of the text requires only a first course in analysis as background. It is a study of abstract measures and integrals, and comprises a reasonably complete account of Borel measures and in­ tegration for R Each chapter is generally followed by one or more supplements.