Description:
This exposition of generalized measure theory unfolds systematically. It begins with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and associated integration theory.
Review Quotes:
From the reviews:
"The monograph contains many original results of the authors and provides an excellent introduction to the emerging field of generalized measure theory. The presentation of the large material is given with didactical skill, numerous examples serve for motivation and illustration of results. ... easy to read by everyone with a solid background in mathematical analysis, and on this basis in particular for students in mathematics and engineering at the graduate level. ... this book can serve as a starting point for research in this area." (Jan Stankiewicz, Zentralblatt MATH, Vol. 1184, 2010)