Integration - A Functional Approach (repost)
Integration - A Functional Approach
Birkhauser | 1998-07-01 | ISBN: 3764359366 | 208 pages | PDF | 1,3 MB
Birkhauser | 1998-07-01 | ISBN: 3764359366 | 208 pages | PDF | 1,3 MB
This book 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.
From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level.