Generalized Measure Theory

Zhenyuan Wang author George J Klir author

Format:Hardback

Publisher:Springer-Verlag New York Inc.

Published:27th Oct '08

Currently unavailable, and unfortunately no date known when it will be back

Generalized Measure Theory cover

Generalized Measure Theory examines the relatively new mathematical area of generalized measure theory. The exposition unfolds systematically, beginning with preliminaries and new concepts, followed by a detailed treatment of important new results regarding various types of nonadditive measures and the associated integration theory. The latter involves several types of integrals: Sugeno integrals, Choquet integrals, pan-integrals, and lower and upper integrals. All of the topics are motivated by numerous examples, culminating in a final chapter on applications of generalized measure theory.

Some key features of the book include: many exercises at the end of each chapter along with relevant historical and bibliographical notes, an extensive bibliography, and name and subject indices. The work is suitable for a classroom setting at the graduate level in courses or seminars in applied mathematics, computer science, engineering, and some areas of science. A sound background in mathematical analysis is required. Since the book contains many original results by the authors, it will also appeal to researchers working in the emerging area of generalized measure theory.

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, 2

ISBN: 9780387768519

Dimensions: unknown

Weight: 764g

384 pages