Integration - A Functional Approach

This text covers Lebesgue integration and its generalizations from Daniell's point of view modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory in the book. It is intended for the reader who has some experience with proofs, and for those confronted with situations such as stochastic integration - where the set-measuring approach to integration does not work.