Generalized Measure Theory

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Logic
Cover of the book Generalized Measure Theory by Zhenyuan Wang, George J. Klir, Springer US
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Zhenyuan Wang, George J. Klir ISBN: 9780387768526
Publisher: Springer US Publication: July 7, 2010
Imprint: Springer Language: English
Author: Zhenyuan Wang, George J. Klir
ISBN: 9780387768526
Publisher: Springer US
Publication: July 7, 2010
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer US

Cover of the book Ethical Issues in Mental Health by Zhenyuan Wang, George J. Klir
Cover of the book Archaeological Pathways to Historic Site Development by Zhenyuan Wang, George J. Klir
Cover of the book Human Development in Adulthood by Zhenyuan Wang, George J. Klir
Cover of the book Transgenic Models in Endocrinology by Zhenyuan Wang, George J. Klir
Cover of the book Clinical Management of Soft Tissue Sarcomas by Zhenyuan Wang, George J. Klir
Cover of the book Material Agency by Zhenyuan Wang, George J. Klir
Cover of the book Atomic and Nuclear Physics by Zhenyuan Wang, George J. Klir
Cover of the book Optical Fiber Sensor Technology by Zhenyuan Wang, George J. Klir
Cover of the book The Respiratory Functions of Blood by Zhenyuan Wang, George J. Klir
Cover of the book Managing the Kidney when the Heart is Failing by Zhenyuan Wang, George J. Klir
Cover of the book Laboratory Handbook for the Fractionation of Natural Extracts by Zhenyuan Wang, George J. Klir
Cover of the book Pulmonary Heart Disease by Zhenyuan Wang, George J. Klir
Cover of the book Risk and Return in Transportation and Other US and Global Industries by Zhenyuan Wang, George J. Klir
Cover of the book Sensory Coding in the Mammalian Nervous System by Zhenyuan Wang, George J. Klir
Cover of the book Preventing HIV in Developing Countries by Zhenyuan Wang, George J. Klir
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy